Course Descriptions

MGT 252 - Business Law II

1. Demonstrate a general knowledge of sale of goods under the Uniform Commercial Code.
   1. Describe how the Code treats a sale of goods as a unique contractual agreement, different from traditional contract law.
   2. List points of difference between general contract law and the law of sales.
   3. State when a contract for the sale of goods must be evidenced by a writing.
   4. List and explain the exceptions to the requirement that certain contracts be evidenced by a writing.
   5. Define and state the purpose of the United Nations Convention on Contracts for the International Sale of Goods.
   6. State the distinguishing features of a consumer lease and a finance lease.
2. Describe the timing of passage of title and risk of loss in sale of goods transaction.
   1. State when title and risk of loss pass with respect to goods.
   2. State who bears the risk of loss when goods are damaged or destroyed.
   3. Classify transactions in which the person dealing with the seller may return the good.
   4. Describe contrasting views of courts as to when a sale occurs in a self-service store.
3. Demonstrate an understanding of delivery terms in a contract for the sale of goods under the Uniform Commercial Code.
   1. Describe the rights afforded a party when it  appears that the other party in the contract will not perform.
   2. State what steps can be taken by a party to a sales contract who feels insecure.
   3. State the obligations of the seller and the buyer in a sales contract.
   4. Identify conduct that constitutes an acceptance.
4. Demonstrate an understanding of product liability theories.
   1. List the theories of product liability.
   2. Say who may sue and who may be sued when a defective product causes harm.
   3. List and define the implied warranties and distinguish them from express warranties.
   4. Explain and distinguish between full warranties and limited warranties under federal law.
   5. State what constitutes a breach of warranty.
   6. Describe the extent and manner in which implied warranties may be disclaimed under the UCC and the CISG.
5. Demonstrate an understating of remedies.
   1. List the remedies of the seller when the buyer breaches a sales contract.
   2. List the remedies of the buyer when the seller breaches a sales contract.
   3. Distinguish between rejection of nonconforming goods and revocation of acceptance.
   4. Determine the validity of clauses limiting damages.
   5. Discuss the waiver of and preservation of defenses of a buyer.
6. Demonstrate an understanding of the negotiable instruments.
   1. Explain the importance and function of commercial paper.
   2. Name the parties to commercial paper.
   3. Describe the concept of negotiability and distinguish it from assignability.
   4. List the essential elements of a negotiable instrument.
7. Gain an understanding of the mechanics of the transfer of commercial paper.
   1. Describe specific applications to the liability of parties when there has been a forgery.
   2. Distinguish the effect of a transfer by assignment from that of a negotiation.
   3. Explain the difference between negotiation of order paper and negotiation of bearer paper.
   4. Determine the legal effect of forged and unauthorized endorsements.
   5. Be familiar with the forged payee imposter exceptions.
   6. List the indorser's warranties and describe their significance.
   7. Solve problems involving the transfer of commercial paper.
8. Demonstrate an understanding of the different types of holders of commercial paper.
   1. Describe the specific defenses available to a party to commercial paper when sued by the holder.
   2. List the requirements for becoming a holder in due course.
   3. Explain the rights of a holder through a holder in due course.
   4. List and explain the limited defenses not available against a holder in due course.
   5. List and explain the universal defenses available against all holders.
   6. Describe how the rights of a holder in due course have been limited by the Federal Trade Commission.
9. Demonstrate understanding of the ways parties to commercial paper are discharged of liability.
   1. Distinguish between primary parties and secondary parties.
   2. Explain why presentment for payment and presentment for acceptance are important.
   3. Explain the importance of giving notice of dishonor and when such notice is excused.
   4. List and explain the various methods of discharge.
   5. Distinguish the discharge of individual parties from the discharge of all parties.
   6. Describe the procedural steps the holder must follow to collect on commercial paper upon default.
10. Demonstrate an understanding of the types of bankruptcy discharge.
    1. List the requirements for the commencement of a voluntary bankruptcy case and an involuntary bankruptcy case.
    2. Describe the rights of the trustee in bankruptcy.
    3. Explain the procedure for the administration of the debtor’s estate.
    4. List the debtor’s duties and exemptions.
    5. Explain the significance of a discharge in bankruptcy.
    6. Explain when a business reorganization and an extended time payment plan might be used.
    7. Describe the procedural requirements for they types of bankruptcy discharge.
    8. Describe what assets are exempt upon filing for bankruptcy.
11. Acquire knowledge of what is included in the concept of real property, the various ways to acquire ownership of real property, and the legal requirements to transfer title to real property.
    1. List the kinds of real property.
    2. Distinguish between liens, licenses, and easements.
    3. List and illustrate the forms of co-ownership of real property.
    4. Define a deed and describe its operation.
    5. Describe and illustrate the warranties of the grantor and the grantee of real estate.
    6. Describe the characteristics and effect of a mortgage.
12. Demonstrate an understanding of how lease relationships are created.
    1. Define a lease and list its essential elements.
    2. List the ways in which a lease may be terminated.
    3. List and explain the rights and duties of the parties to a lease.
    4. Describe the remedies of a landlord for breach by the tenant.
    5. Describe a landlord’s liability for a tenant’s and a third person’s injuries.
    6. Define and distinguish between a sublease and an assignment of a lease.
    7. Describe the rights and duties of the respective parties in a lease relationship.
    8. Describe who is liable for injury on premises.
13. Demonstrate knowledge of how a corporation is formed.
    1. Classify corporations according to nature, state of incorporation, and functions performed.
    2. State why and when the corporate entity will be ignored.
    3. List the steps to be taken in forming a corporation.
    4. Compare corporations de jure, de facto, and by estoppel.
    5. List and describe the ways in which corporate existence may be terminated.
    6. Compare consolidations, mergers, and conglomerates.
    7. Describe the advantages of forming a corporation.

MGT 254 - Applied Marketing

1. Demonstrate an understanding of actual business situations permitting further familiarization with marketing principles and methods as they are employed in various industries.
   1. Discuss the basic nature and scope of marketing
   2. Describe the various types of business settings, such as retail stores, specialty shops, and catalog houses
   3. Describe the various types of wholesale settings that will interact with the marketing process, such as a buying office, consulting firm, mills, and trade associations
2. Demonstrate an understanding of the roles of promotion and the global nature of promotion.
   1. Explain reasons for the transition to a global perspective
   2. Discuss the concept of thinking globally, acting locally
   3. Discuss future trends for global marketing
3. Demonstrate an understanding of the promotion mix.
   1. Define advertising
   2. Define direct marketing
   3. Define sale promotion
   4. Define publicity and public relations
   5. Define personal selling
   6. Define special events
   7. Define fashion shows
   8. Define visual merchandising
4. Demonstrate an understanding of the promotional structure.
   1. Describe the fundamental tasks of promotional personnel
   2. Discuss characteristics of successful promotional personnel
   3. Describe how retailers are organized
   4. Describe how manufacturers are organized
   5. Discuss how in-house promotions are organized
   6. Discuss how advertising agencies are organized
   7. Identify future trends in promotional organization
5. Demonstrate an understanding of promotion planning.
   1. Describe the planning time frame
   2. Identify the personnel responsible for promotion planning
   3. Discuss strategic analysis
   4. Discuss mission statements
   5. Discuss promotion objectives
   6. Apply promotional objectives
6. Demonstrate an understanding of promotional calendars.
   1. Describe a trade calendar and it’s use
   2. Describe a retail calendar and it’s use
   3. Identify promotional mix calendars
   4. Identify future trends in promotion planning
7. Demonstrate an understanding of budget.
   1. Discuss various methods of budget allocation
   2. Demonstrate allocating a promotional budget
   3. Demonstrate allocating a manufacturing promotional budget
   4. Describe allocating advertising agency compensation
   5. Describe ways to extend the budget through cooperative activities
   6. Identify future trends in budgeting
8. Demonstrate an understanding of the promotional aspects of forecasting.
   1. Explain forecasting
   2. Identify forecasting personnel
   3. Discuss the relationship of forecasting to promotional activities
   4. Define primary market forecasts
   5. Define secondary market forecasts
   6. Define tertiary market forecasts
   7. Discuss theme development
   8. Identify trends for forecasting and promotion
9. Demonstrate an understanding of the role of special events in promotion
   1. Identify the goals of special events
   2. Describe the types of special events
   3. Discuss institutional events
   4. Discuss merchandise events
   5. Conduct a feasibility study
   6. Identify the personnel involved in special events
   7. Discuss the size and scale of events
   8. Discuss financial considerations related to special events

MGT 256 - Human Resources Management I

1. Demonstrate an understanding of the human resources management.
   1. Describe why it is important to study human resources management
   2. Identify and explain at least three competitive challenges effecting human resources management
   3. Describe demographic and employee concerns as related to human resources management
   4. Explain the partnership of line managers and the human resources department(s)
2. Demonstrate an understanding of equal employment opportunity.
   1. Identify and explain the historical perspective of EEO legislation
   2. Explain government regulation law pertaining to equal employment opportunity
   3. Describe sexual harassment in the workplace and methods of curtailing it
   4. Describe government agencies and methods used in enforcing equal employment opportunity legislation
3. Demonstrate an understanding of job requirements and employee contributions.
   1. Explain the relationship of job requirements and human resources management functions
   2. Explain the process of job analysis
   3. Describe job design and its impact on human resources management
4. Demonstrate a familiarity with human resources planning and recruitment.
   1. Discuss the importance of human resources planning
   2. Identify and explain elements of effective human resources planning
   3. Describe the benefits and limitations of recruiting within the organization
   4. Describe the methods used in recruiting outside the organization
5. Demonstrate an understanding of the selection process in human resources management.
   1. Describe the concept of matching people and jobs
   2. Explain the sources used to obtain information about job candidates
   3. Discuss the purpose and methods of the employment interview
   4. Describe considerations involved in reaching a selection decision
6. Demonstrate an understanding of human resources training.
   1. Discuss the systems approach to training
   2. Explain the process involved in conducting a training-needs assessment
   3. Discuss considerations in designing a training program
   4. Explain methods for management development
7. Demonstrate an understanding of career development in the workplace.
   1. Discuss the elements of career development programs
   2. Describe career development and its impact on management development
   3. Describe the process of personal career development
8. Demonstrate an understanding of appraising performance.
   1. Describe the purpose of a performance appraisal
   2. Explain the process of developing an effective appraisal program
   3. Describe at least three performance appraisal methods
   4. Describe methods and consideration factors of the appraisal interview
9. Demonstrate an understanding of employee rights and discipline.
   1. Describe employee rights in the workplace
   2. Identify and explain disciplinary policies and procedures
   3. Explain at least one method used in appealing disciplinary actions
   4. Explain organizational ethics in employee relations

MGT 257W - Human Resources Management II

1. Demonstrate understanding of various human resource management issues.
   1. Recognize the nature of human resource management conflicts or issues so as to be able to indicate the main business problems presented.
   2. Use one of various theories or points of view to analyze human resource management issues or conflicts and reach a reasonable conclusion about the issue.
   3. Explain how the analysis can be used to enhance productivity and efficiency in a human resource office or the advancement of the organization.
   4. Analyze arguments, positions, and pros and cons of human resource management.
   5. Determine appropriate objections to human resource management issues in writing.
2. Describe Human Resource issues.
   1. Explain the unique nature of Human Resource Management decisions and what separates them from other fields.
   2. Compare and contrast the different types of issues and arguments clearly and with original insight.
   3. Explain the importance of the distinction between Human Resource Management and other fields so as to be able to analyze issues using the appropriate methods.
3. Demonstrate understanding of human resource management terminology.
   1. Define and correctly use the key terms appropriate to the topics of the class when discussing and analyzing the issues of the course.
   2. Apply the terms to the readings to analyze the text and the issues raised in them.
   3. Offer critical comments and questions addressed to the readings so as to demonstrate an in-depth understanding of the text and the issues raised, orally and in writing.
4. Demonstrate critical thinking skills about Human Resource Management topics, through argument.
   1. Apply the appropriate concepts and strategies of critical thinking to the analysis and understanding of Human Resource Management issues.
   2. Recognize strong and weak arguments and reasons.
   3. Formulate arguments in favor of his/her own analyses of the issues of the class.
   4. Anticipate objections to his/her own arguments and be able to respond to the objections with justifiable answers.
5. Practice intellectual curiosity with human resource management issues.
   1. Complete at least one significant project, either individually or as a group depending on the instructor’s discretion, and work with the instructor to assure that the project demonstrates intellectual curiosity and academic rigor.
   2. Actively engage with his/her peers in conversations, seminars, or in other formats at the instructor’s discretion to enhance the depth of knowledge of the relevant material.
   3. Demonstrate active analysis in advanced reading surrounding Human Resource issues through written summaries/papers.
6. Use writing tasks to promote learning.
   1. Practice critical writing skills within the subject.
   2. Demonstrate knowledge of subject matter through extended writings.
7. Demonstrate an understanding of collective bargaining and contract administration
   1. Describe the bargaining process.
   2. Identify and discuss trends in collective bargaining.
   3. Describe the “labor agreement” in human resources management.
   4. Describe the administration of the labor agreement.
8. Demonstrate an understanding of International Human Resource Management.
   1. Identify and describe the issues involved in managing human resources across borders.
   2. Describe the process and concerns of international staffing.
   3. Identify and discuss the skills of the global manager.
   4. Identify and discuss the issues involved in compensation across borders.
   5. Explain how labor relations in countries outside the United States differ from those in the United States.

MGT 265 - International Business

1. Demonstrate an understanding of the globalization of the world economy.
   1. Discuss the globalization of markets and production over the last two decades.
   2. Describe the factors that underlie the trend toward globalization.
   3. Discuss the barriers that traditionally prohibit the flow of goods, services, and capital.
2. Describe different country’s internal systems.
   1. Discuss how political systems can be assessed according to two dimension–the degree to which they emphasize collectivism as opposed to individualism and the degree to which they are democratic or totalitarian.
   2. Discuss collectivism as an ideology that views the needs of society as being more important than the needs of the individual.
   3. Discuss individualism as an ideology that is built on an emphasis on the primacy of individual’s freedoms in the political, economic, and cultural realm.
   4. Describe how democracy and totalitarianism are at different ends of a political spectrum.
3. Demonstrate an understanding of the social culture’s implications for business practice.
   1. Discuss culture as a complex whole that includes knowledge, belief, art, morals, law, custom, and other capabilities acquired by people as members of society.
   2. Discuss how values and norms are the central components of a culture.
   3. Describe how all societies are stratified into different classes.
   4. Identify the world’s major religions, and discuss how religion may be defined as a system of shared beliefs and rituals that are concerned with the realm of the sacred.
   5. Describe language as the one defining characteristic of a culture.
   6. Discuss how formal education is the medium through which individuals learn skills and are socialized into the values and norms of society.
4. Demonstrate an understanding of why it is beneficial for a country to engage in international trade.
   1. Discuss the theory of absolute advantage.
   2. Discuss the theory of comparative advantage.
   3. Describe the product life cycle and how trade patterns are influenced why where a new product is introduced.
5. Demonstrate an understanding of how the reality of international trade deviates from the theoretical ideal of unrestricted free trade.
   1. Describe how tariffs raise the cost of imported products.
   2. Describe how an import quota is a direct restriction imposed by an importing country on the quantity of some good that may be imported.
6. Demonstrate an understanding of theories that attempt to explain the pattern of foreign direct investment between countries.
   1. Discuss how foreign direct investment occurs when a firm invests directly in facilities to produce in a foreign country.
   2. Describe how horizontal FDI is FDI in the same industry abroad as a firm operates at home.
   3. Discuss any theory seeking to explain FDI must explain why firms go to the trouble of acquiring or establishing operations abroad, when the alternatives of exporting and licensing are available to them.
7. Demonstrate an understanding of the influence of governments on firms’ decisions to invest in foreign countries.
   1. Discuss political ideology and how it affects FDI.
   2. Describe the “radical view.”
   3. Describe the “free market view.”
   4. Discuss the benefits of FDI to the host country and how it can make a positive contribution to the economy of the host country.
8. Demonstrate an understanding of regional economic integration.
   1. Discuss the levels of economic integration that are possible in theory.
   2. Describe regional economic integration and its attempt to achieve economic gain.
   3. Discuss the economic and political debate surrounding regional economic integration.
   4. Discuss regional economic integration in Europe, the Americas, and elsewhere.
   5. Discuss the important implication of regional economic integration for the practice on international business.
9. Demonstrate an understanding of how the foreign exchange market works.
   1. Discuss the functions of the foreign exchange market.
   2. Explain why international business participates in the foreign exchange market.
   3. Explain how using forward exchange rates can reduce the foreign exchange risk.
10. Demonstrate an understanding of the workings of the international monetary systems.
    1. Explain the gold standard and how it relates to a monetary standard.
    2. Discuss the break-down of the gold standard.
    3. Describe the European Monetary System.
11. Demonstrate an understanding of the international capital market.
    1. Define the function of a capital market.
    2. Discuss the growth of the international capital market during the 1970s and 80s.
    3. Define Eurocurrency.
    4. Discuss the two classifications of the international bond market.
    5. Define the implications of international capital market for international business practice.
12. Demonstrate an understanding of the various way in which firms can profit from global expansion.
    1. Discuss how, for some firms, international expansion represents a way of earning greater returns by transferring the skills and product offerings derived from their core competencies to markets where indigenous competitors lack those skills.
13. Demonstrate an understanding of  organizational structures and internal control mechanisms.    
    1. Identify the four main dimensions of organizational structure.
    2. Define vertical differentiation.
    3. Define horizontal differentiation.
    4. Discuss how firms usually begin abroad with an international division.
14. Demonstrate an understanding of the steps firms must take to establish themselves as exporters.    
    1. Discuss the biggest impediment to exporting ignorance of foreign market opportunities.
    2. Describe why neophyte exporters often become discouraged or frustrated with the exporting process.
    3. Explain how information gathering is the best way to overcome ignorance.
    4. Discuss the many pitfalls associated with exporting.
    5. Discuss the “trust” factor and how it relates to the individuals involved in the exporting process.
    6. Discuss problems that may arise because of a lack of trust between parties.
15. Demonstrate an understanding of how efficient manufacturing and materials management functions can help improve an international business’s competitive position.
    1. Discuss how the choice of an optimal manufacturing location must consider country factors, technological factors and product factors.
    2. Explain country factors.
    3. Explain technological factors.
    4. Explain product factors.
    5. Discuss the advantages of making components in-house.
    6. Discuss the advantages of buying components from independent suppliers.
16. Demonstrate an understanding of the marketing and R & D functions in international business.
    1. Discuss how a product can be viewed as a bundle of attributes.
    2. Describe country differences in consumer tastes and preferences.
    3. Define distribution strategy.
    4. Discuss barriers to international communication.
17. Demonstrate an understanding of human resource management in international business.
    1. Discuss how the firm’s strategy needs to be congruent with the HRM policies.
    2. Discuss how a staffing policy can be a tool for developing and promoting a corporate culture.
    3. Define ethnocentric, polycentric, and geocentric staffing policies.
    4. Explain how training can lower the probability of expatriate failure.
18. Demonstrate an understanding of financial accounting within the  multinational firm.
    1. Discuss how accounting is the language of business.
    2. Explain how accounting is shaped by the environment in which it operates.
    3. Describe the five main factors that influence the type of accounting system that a country has.
    4. Discuss the national differences in accounting and auditing standards.
    5. Discuss how the annual budget is the main instrument by which headquarters controls foreign subsidiaries.

MGT 275 - Management Seminar

1. Perform effectively in teams as leader and member.
   1. Identify team building blocks, purpose, effectiveness needs and potential constraints.
   2. Identify strategies for dealing with uncooperative team members.
   3. Learn to assess team effectiveness, convert groups into effective teams, and lead high-performance teams.
2. Analyze appropriate leadership styles for specific situations.
   1. Complete an assessment instrument (such as the Leadership Practices Inventory (LPI)) that contributes to students’ understanding of their current management and/or leadership behavior.
   2. Identify classical, behavioral, and modern management models and discuss what can be learned from each set of theories.
   3. Discuss effective, influential and responsible leadership.
   4. Identify leadership theories, models, and styles and discuss effectiveness based on various situation scenarios.
3. Use decision-making methods from the leader/manager perspective.
   1. Discuss the anatomy of decisions and use of heuristics in decision-making.
   2. Identify common biases and limitations caused by bounded awareness.
   3. Discuss the motivational and emotional influences on decision-making.
   4. Discuss fairness and ethics in decision-making.
   5. Practice making rational decisions in negotiations.
   6. Identify tools for improving decision-making.
4. Use the concept of Emotional Intelligence to practice quality management and leadership skills.
   1. Define emotional intelligence as an important human skill and complete an emotional intelligence inventory.
   2. Use the results of the inventory to identify areas for improvement.
   3. Practice emotional intelligence in decision-making and negotiation.
5. Demonstrate knowledge of how management decisions affect sustainability.
   1. Identify reasons for managing and leading a sustainable organization.
   2. Research sustainable practices and discuss opportunities within various industries.
6. Use communication skills to demonstrate an understanding of management and leadership.
   1. Research, write, and present on various case analysis throughout the semester.
   2. Research, write, and present a final paper.

MGT 290-299 - Special Projects in Management

MIT 111W - Manufacturing Processes

1. Describe the engineering properties of materials used to manufacture and assemble products.
   1. Differentiate between the structures of pure metals, metal alloys, polymers, ceramics/glass, and composites.
   2. Explain the importance of mechanical properties of materials.
   3. Explain the importance of physical and chemical properties of materials.
   4. Relate the use of the properties of various materials to the manufacturing design process.
2. Determine the inter-relationship between material properties, manufacturing process, and product design.
   1. Cite examples where property requirements have altered material selection.
   2. Describe how a change in material can appreciably alter the manufacturing process.
   3. Describe how a change in material can significantly affect the design of the part.
   4. Describe how a given manufacturing process alters the properties of the material.
3. Describe the major manufacturing processes used in industry today.
   1. Differentiate between the various casting processes.
   2. Differentiate between the various metal formig processes.
   3. Compare powder metallurgy with other metal forming processes.
   4. Associate sheet metal formed parts with everyday consumer products.
   5. Relate consumer plastic products with their manufacturing processes.
   6. Differentiate between the plastic forming processes and identify the strengths of each.
   7. Compare forming of thermoplastic products with thermosets.
   8. List applications of composite materials.
   9. Compare glass forming with plastic forming.
   10. Relate the advantages and applications of machining and turning centers to current manufacturing practices.
   11. Compare and contrast the various nontraditional machining processes.
   12. Relate manufacturing process choices and material properties.
   13. Compare and contrast the various welding processes.
   14. Describe metal cutting parameters.
   15. Cite applications of various surface treatments and coatings.
4. Demonstrate the ability to access, analyze, or use information related to manufacturing a product.
   1. Identify sources of relevant information about manufacturing issues and concepts. This will include electronic sources along with traditional sources.
   2. Interpret graphs and charts to access information.
   3. Synthesize information concerning manufacturing issues so it is understandable by a target population.
   4. Use gathered information for oral, written, and/or electronic presentations to the targeted population and include appropriate academic documentation of sources.
5. Demonstrate effective written communication for a specific audience.
   1. Identify and articulate key manufacturing concepts.
   2. Employ conventions of written, edited, standard English.
   3. Present manufacturing processes and engineering material information in tables, charts and graphs.
   4. Quote, paraphrase and summarize important manufacturing processes and engineering material information accurately.
   5. Use appropriate vocabulary for the target audience.
6. Use writing tasks to promote learning about manufacturing and engineering materials.
   1. Document knowledge of manufacturing concepts and engineering materials.
   2. Using writing tasks, compare and contrast key manufacturing concepts.
   3. Using writing tasks, compare and contrast engineering materials and their properties.

MIT 118 - Safety Practices and Procedures

1. Demonstrate an understanding of the OSH Act and its impact on the current workforce.
   1. Explain the importance of the OSH Act.
   2. Explain how OSHA provides a safe and healthful workplace to workers covered by OSHA .
   3. Explain the role management plays in creating a healthy and safe work environment through safety and health programs.
2. Demonstrate the ability to identify workplace hazards.
   1. Identify Worksite hazards and the level of control used to eliminate or limit the exposure to hazards.
   2. Identify proper Personal Protective Equipment based on worksite hazard analysis.
   3. Identify electrical safe work practices.
   4. Define safe walking and working surfaces, including fall protection. Identify ways to prevent falls in general industry
   5. Recognize material handling hazards.
   6. Identify permit required confined spaces. Define the criteria of confined spaces and permit required confined spaces. Identify duties and responsibilities of confined space workers.
   7. Identify machine hazards and how to eliminate or control machine hazards using safeguarding practices.
   8. Recognize welding, cutting and brazing hazards. Define safe practices for safe welding, cutting and brazing.
   9. Define industrial hygiene and identify the core elements of industrial hygiene.
   10. Identify the impact ergonomics plays in workforce safety.
   11. Define fall protection and the elements associated with fall protection. Recognize hazards in falls and how to select, inspect and maintain fall protection.
   12. Recognize safe operating practices for powered industrial trucks. Define hazards associated with powered industrial trucks.
3. Demonstrate knowledge of safety and health program and associated training
   1. Define a Hazard Communication program and identify the components.
   2. Identify emergency exit routes, analyze emergency action plans and fire prevention and protection plans.
   3. Identify hazardous materials and identify plans to lessen hazards associated with those materials.
   4. Identify lockout / tagout needs and protocol.
   5. Recognize bloodborne pathogens and train against the hazards associated with bloodborne pathogens.
   6. Define a safety and health program and identify key elements.

MIT 210 - Lean Thinking Strategies

1. Describe the principles of lean thinking and discuss how they are used in organizations.
   1. Identify the main elements of the lean thinking philosophy.
   2. Differentiate between the principles and practices of lean thinking and discuss their applications in an organization.
   3. Describe the methods used to identify value as defined by the organization’s customers.
   4. Compare and contrast current processes within an organization with lean thinking.
2. Demonstrate an understanding of the application of lean thinking principles for the delivery of goods and services by an organization.
   1. Describe the elements of a pull system and how they are applied in an organization.
   2. List the main issues encountered when organizing the workplace.
   3. Identify applications for 5-S activities to improve the organization’s ability to deliver goods and services.
   4. Identify strategies for visual controls and workplace organization.
3. Demonstrate an understanding of the application of lean thinking principles for achieving quality, cost and delivery goals.
   1. Describe the value stream using process mapping techniques.
   2. Identify areas in the value stream for improvement in quality and cost and the reduction of delivery times.
   3. Identify measurements to monitor lean thinking strategy implementation.
   4. Compare and contrast current organizational roles and responsibilities with those in a lean organization.
   5. Identify strategies for improving the value stream for a product or service.
4. Access, analyze and use information needed for the implementation of lean thinking within an organization.
   1. Identify, through writing and oral communication, key components of the lean thinking philosophy.
   2. Differentiate between long and short term activities needed for the implementation of lean thinking strategies.
   3. Compare and contrast current buzz word strategy elements with required process improvement activities.

MIT 212 - Manufacturing Cell

1. The student will define manufacturing cell requirements.
   1. Describe the concept of a manufacturing cell.
      1. What is it
      2. Basic components of manufacturing cells
      3. Economic justification
      4. Advantages and limitations of manufacturing cells
2. The student will determine the procedures for integrating manufacturing cells into an angile manufacturing environment.
   1. Describe the requirements for a manufacturing cell.
      1. layout, equipment, workforce training
      2. management system
      3. tooling, setup, delivery and maintenance
      4. use of robotics
3. The student will identify the decision making process and define the criteria for integrating manufacturing cells into an agile manufacturing environment.
   1. Identify and discuss issues that need to be addressed in order to design and implement a manufacturing cell.
      1. Tool management and maintenance
      2. Inspection equipment
      3. Floor layout
      4. Workforce development
      5. Type of cell
      6. Planning and designing the cell
      7. Building, installing and debugging the cell
      8. Resource allocation

MIT 240 - Manufacturing and Industrial Technology Capstone

1. Produce a 3D parametric model of a product and process for manufacturing.
   1. Use navigantional tools such as Rotate, Pan, and Zoom in the modeling mode.
   2. Modify the 3D solid using Cut, Fillet, Chamfer, and Shell features.
   3. Use Boolean editing features to modify 3D solid models.
   4. Analyze the shape of the model and determine which method(s) of producing 3D objects and which Boolean operations are necessary for the completion of the model.
   5. Use animation feature to demonstrate product performance.
   6. Create 3D Model of product using rapid prototype equipment.
2. Use conventional and computer manufacturing equipment to produce product proto type.
   1. Use a variety of machining skills by completing product proto type.
   2. Select proper tooling for specific machining operations.
   3. Select proper work holding devices.
   4. Use precision measuring instruments to machine parts to tolerance.
3. Design manufacturing process utilizing manual or automated systems for production of product.
   1. Identify and select the best type of machine for production.
   2. Identify and select automated transfer systems for production.
   3. Identify and select appropriate gaging and inspection processes for quality assurance.
4. Create and deliver a presentation of the complete process of manufacturing the product.
   1. Use electronic media to create PowerPoint presentation of product and process.
   2. Deliver the presentation to panel of student peers and program discipline faculty.
      1. Demonstrate effective use of terminology.
      2. Demonstrate effective use of voice, posture, and eye contact.
      3. Demonstrate effective use of visual aids and technology.
   3. Include the final product, process, and cost analysis.

MIT 290-299 - Special Projects in Manufacturing and Industrial Technology

MTH 092 - Basic Mathematics

1. Solve a variety of real world problems.
   1. Solve real world problems involving whole numbers, fractions and decimals as related to perimeter, area and measurement.
   2. Compute classical and empirical probability of a simple (statistical meaning of simple) event.
   3. Compute probability from a contingency table.
2. Demonstrate understanding of basic mathematical computations.
   1. Add, subtract, multiply and divide whole numbers.
   2. Add, subtract, multiply and divide fractions.
   3. Add, subtract, multiply and divide decimals.
   4. Convert between fractions, decimals and percent.
   5. Simplify numerical expressions using the order of operations.
3. Communicate effectively about mathematics.
   1. Use mathematical terminology effectively in writing and speaking

MTH 099 - Mathematical Reasoning

Credits: 5
Instructional Contact Hours: 6

1. Demonstrate understanding of mathematical computations with rational numbers.
   1. Compute (add, subtract, multiply and divide) with signed numbers without the use of a calculator.
   2. Simplify numerical expressions with multiple operations and grouping symbols using the order of operations.
   3. Compute the opposite, reciprocal, and absolute value of a given real number.
   4. Estimate sums, difference, products, and quotients of integers, fractions, or decimals.
   5. Evaluate square roots and exponential numerical expressions.
   6. Estimate the value of a numerical expression.
   7. Approximate answer to an application problem prior to working it out.
   8. Identify the appropriate unit of an answer to a word problem.
2. Demonstrate understanding of proportions.
   1. Set up and simplify ratios and rates.
   2. Solve proportions.
   3. Carry out fraction, decimal, and percent conversions.
   4. Solve percent equations including percent increase and percent decrease.
   5. Estimate the percent of a number.
3. Demonstrate basic algebra skills.
   1. Combine like terms.
   2. Use the distributive property.
   3. Add, subtract, and multiply polynomial expressions.
   4. Simplify algebraic expressions with multiple operations and grouping symbols using the order of operations.
   5. Simplify algebraic expressions using the rules of exponents (no negative exponents).
   6. Compute the opposite and reciprocal of a given algebraic expression.
   7. Identify and give examples of linear, quadratic and exponential expressions.
   8. Compare and contrast expressions and equations.
   9. Evaluate algebraic expressions including linear, quadratic and exponential.
4. Demonstrate understanding of Cartesian graphs.
   1. Understand the Cartesian (rectangular) coordinate system.
   2. Construct the graph of a line if given the equation of the line.
   3. Identify an appropriate scale for both axes when constructing a graph.
   4. Approximate one coordinate of a point on a graph if given the other.
   5. Identify graphs as linear or non-linear.　
5. Demonstrate understanding of linear functions.
   1. Solve linear equations algebraically.
   2. Solve systems of linear equations algebraically and graphically.
   3. Compute the slope of a line in a variety of contexts.
   4. Identify the slope of a line as positive, negative, zero, or undefined.
   5. Interpret the slope of a line in context.
   6. Compute the y-intercept of a line in a variety of contexts.
   7. Interpret the y-intercept of a line in context as an initial amount.
   8. Compute the equation of a line in y=mx+b form in a variety of contexts.
6. Solve quadratic equations.
   1. Solve a variety of quadratic (using the quadratic formula) equations.
   2. Verify the solution of an equation.
7. Solve linear equations.
   1. Solve a variety of linear equations.
   2. Verify the solution of an equation.
8. Solve linear inequalities.
   1. Solve a variety of one-dimensional linear inequalities.
   2. Verify the solution of a linear inequality.
   3. Use interval notation, relational symbols (<, >, <, >) or a verbal description to describe a set of numbers.
9. Solve systems of linear equations.
   1. Solve a variety of systems of linear equations. (no higher than 2x2).
   2. Verify the solution of a system of linear equations.
   3. Recognize situations in which a system of linear equations has no solution or multiple solutions.
10. Demonstrate understanding of statistical graphs.
    1. Construct pie charts, bar graphs and line graphs.
    2. Interpret bar graphs, pie charts, line graphs and scatterplots.
11. Solve real world problems using mathematics.
    1. Set up an equation or expression if given a word phrase or sentence.
    2. Solve a variety of real world problems using the tools of algebra and mathematical modeling (linear models primarily).
    3. Solve real world problems involving integers, fractions, decimals, percent, proportions, perimeter and area, measurement, linear equations, the Pythagorean Theorem and probability.
12. Demonstrate understanding of concepts related to modeling.
    1. Generate a scatter plot from a set of data.
    2. Identify which model is appropriate (linear, quadratic or exponential) for a data set on a scatterplot.
    3. Use the generated model to determine predicted values.
    4. Determine if a predicted value is reasonable.
13. Apply concepts of elementary probability.
    1. Demonstrate an understanding of the basic definition of probability.
    2. Use sample spaces, to represent the possible outcomes and use them to calculate probabilities.
    3. Create a probability distribution based on sample spaces and tree diagrams.
    4. Determine whether two events, A and B, are dependent or independent.
    5. Determine whether two events, A and B, are mutually exclusive.
    6. Compute probabilities, that involve unions, intersections and complements.
14. Communicate effectively about mathematics.
    1. Provide complete written solutions to problems using appropriate terminology.
    2. Articulate orally and in writing important ideas and conclusions.

MTH 103 - Applied Geometry and Trigonometry

1. Solve problems related to plane figures (e.g. angles, parallel lines, or triangles).
   1. Define basic terminology of angles (acute, right, obtuse, straight, complementary and supplementary angles).
   2. Measure angles with a protractor.
   3. Define basic terminology of angles formed by parallel lines cut by a transversal (corresponding alternate interior and exterior angles.)
   4. Define the characteristics of triangles and their properties (altitude, medians, vertex, and sides).
   5. Express an understanding of and identify the characteristics of congruent and similar triangles.
   6. Relate to the work place operations.
2. Solve problems related to polygons (e.g. triangles, squares, rhombus, rectangles, parallelograms, trapezoids or multi-sided polygons).
   1. Use the proper formula for determining area of polygons (square measure).
   2. Determine the measure of interior angles by using diagonals.
   3. Relate to the work place operations.
3. Identify the characteristics of special triangles (e.g., isosceles, equilateral, right, or 30-60-90 triangles).
   1. Know and apply the Pythagorean Formula in solving right triangle problems.
   2. Solve problems involving similar triangles (tapers).
4. Identify the characteristics of a circle (e.g., chords, central angles, inscribed, segments or sectors)
   1. Demonstrate the relationships between the diameter, radius, and circumference of a circle.
   2. Solve problems involving area of circles, sectors, and segments.
   3. Determine arc lengths by using proportions.
5. Identify the characteristics of an ellipse (e.g., center, or major and minor axes).
   1. Solve problems involving area and circumference of an ellipse.
   2. Express uses of ellipses in everyday situations (orbits, racetracks, buildings, and cutting pipes).
6. Identify the characteristics of geometric solids (e.g., prisms, cylinders, pyramids, cones, frustrums, spheres, torus, or prisimatoids).
   1. Use proper formulas to determine surface area of all geometric solids.
   2. Use proper formulas to determine volume of all geometric solids.
   3. Figure a cost factor with respect to volume and materials (surface area) of various geometric solids (cylinders, cones, spheres, cubicle containers).
   4. Relate to the work place operations.
7. Apply the six trigonometric ratios.
   1. Express the relationship between the sides of a right triangle and the six trigonometric ratios.
   2. Evaluate the six trigonometric ratios and their inverses with a calculator.
   3. Apply the six trigonometric ratios to right triangle problems.
   4. Relate to the work place operations.
8. Solve oblique triangles.
   1. Solve oblique triangles using the Law of Sines.
   2. Solve oblique triangles using the Law of Cosines.
   3. Relate to the work place operations.

MTH 115W - Mathematics for Elementary Teachers I

1. Develop problem-solving skills.
   1. Give a general definition of problem solving in mathematics and distinguish between exercises and problems.
   2. Explain, illustrate and use Polya’s 4-step problem solving process:
      1. understand the problem;
      2. devise a plan;
      3. carry out the plan;
      4. look back.
   3. Explain, illustrate, and apply strategies that include but are not limited to:
      1. guess and test;
      2. use a variable;
      3. draw a picture;
      4. look for a pattern;
      5. make a list;
      6. solve a simpler problem.
2. Use technology appropriately to do mathematics.
   1. Use and review software packages established for use in the elementary classroom for mathematics. 
3. Demonstrate understanding of whole numbers.
   1. Define a set by using:
      1. the roster or list method.
      2. set builder notation
   2. Use the concept of matching sets to formalize the meaning of whole numbers.
   3. Describe and compare the concepts of cardinal, ordinal, and identification numbers.
   4. Describe the difference between a whole number, the name of a whole number, and the numeral of the whole number.
   5. Describe the relations of less than and greater than for whole numbers using sets.
4. Demonstrate computational skill.
   1. Add, subtract, multiply and divide whole numbers.
   2. Add, subtract, multiply, and divide fractions.
   3. Add, subtract, multiply, and divide decimals.
   4. Add, subtract, multiply, and divide with percents.
   5. Add, subtract, multiply, and divide real numbers.
   6. Set-up and simplify ratios and rates.
   7. Solve proportions.
   8. Carry out fraction, decimal, and percent conversions.
   9. Solve percent equations.
   10. Simplify numerical expressions using the order of operations.
   11. Add, subtract, multiply, and divide integers.Add, subtract, multiply, and divide real numbers.
5. Demonstrate understanding of mathematical ideas or operations with concrete models.
   1. Represent addition, subtraction, multiplication, and division of whole numbers (fractions, and decimals) using a set model and a measurement model.
   2. Give examples of real world addition, subtraction, multiplication and division problems involving set and measurement models.
   3. Explain and illustrate the comparison model of subtraction.
   4. Represent fractions, decimals, and percents using area models, measurements models, set models, and towers of bars.
   5. Represent integers with the chip (or charged ion) model.
   6. Use manipulative to illustrate basic arithmetic operations.
6. Demonstrate understanding of computational algorithms.
   1. Explain, illustrate and use a)intermediate algorithm, b) standard algorithm, c) the lattice method for addition and multiplication.
   2. Explain, illustrate and use long division algorithms that lead to the standard division algorithm (scaffolding, intermediate).
   3. Find the GCF and LCM of a given pair of numbers using a) the set intersection method, (factor list method), b) the prime factorization method and c) the Euclidean Algorithm.
7. Demonstrate ability to make estimations.
   1. Use, identify, and apply various mental computation and estimation strategies including:
      1. rounding strategy
      2. compatible numbers strategy
      3. using properties
      4. equal additions method
8. Demonstrate understanding of thinking strategies associated with numeracy.
   1. Explain, illustrate, and use the following thinking strategies for learning basic addition facts:
      1. commutativity
      2. adding zero
      3. counting on by 1 and 2
      4. combinations to 10
      5. doubles
      6. adding 10
      7. associativity
   2. Explain, illustrate, and use the following thinking strategies for learning basic multiplication facts:
      1. commutativity
      2. multiplication by 0
      3. multiplication by 1
      4. multiplication by 2
      5. multiplication by 5
      6. multiplication by 9
      7. associativity
      8. distributivity
9. Demonstrate understanding of number theory.
   1. Define, compare, and contrast the following terms: prime, composite, divides, factor (divisor), factor trees, multiple, is divisible by, common factor (divisor), common multiple, greatest common factor (GCF), least common multiple (LCM).
   2. Use the sieve of Eratosthenes to find prime numbers.
   3. State and apply the fundamental theorem of arithmetic.
   4. State and apply tests for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, 12.
   5. Find the prime factorization of a given composite number.
   6. Use the exponents in the prime factorization of a number to count its factors.
   7. Relate the GCF and LCM of any two numbers to the product of the numbers.
   8. State and use the Prime Number Test.
10. Communicate effectively about mathematics.
    1. Perform writing tasks to promote learning.

MTH 116W - Mathematics for Elementary Teachers II

1. Demonstrate agility in solving mathematical or statistical problems with the use of a graphing calculator or technology.
        A. Use a graphing calculator for computation, graphing (linear, quadratic,cubic, exponential, statistical graphs) and data analysis.
2. Demonstrate agility in solving mathematical or statistical problems without the use of a graphing calculator or technology.
   1. Solve computation, graphing (linear, quadratic, cubic, exponential, statistical graphs) and data analysis problems without the use of a graphing calculator or technology. 
3. Solve non-routine problems using a variety of problem-solving strategies.
   1. Use strategies such as: look for a pattern, make a list, use a variable, draw a diagram, direct and indirect reasoning, properties of numbers, symmetry, etc.
4. Demonstrate an understanding of concepts related to a function.
   1. Define and recognize functions, relations, domain, range, and codomain.
   2. Use the vertical line test for functions.
   3. Provide multiple representations of a function.
   4. Construct and interpret graphs:linear, quadratic, exponential, cubic, and step functions.
5. Demonstrate an understanding of the properties of integers.
   1. Use the number line and the chip model to justify properties of integers.
   2. Explain why division by zero is undefined.
6. Demonstrate an understanding of rational exponents.
   1. Use rational exponents.
   2. Explain exponential notation.
   3. Justify the rules for exponents, including the zero exponent.
7. Demonstrate an understanding of statistical concepts.
   1. Graph and interpret:circle graphs, stem and leaf plots, line plots, bar graphs, histograms, boxplots.
   2. Recognize outliers in graphs.
   3. Determine an appropriate graphical model for a given set of data.
   4. Use measures of central tendency (mean, median, mode) and measures of dispersion (range, standard deviation).
   5. Use z-scores and normal distributions.
8. Demonstrate an understanding of elementary probability.
   1. List the sample space of an experiment.
   2. Distinguish between experimental and theoretical probability.
   3. Apply the addition and multiplication rules of probability; use a tree diagram.
   4. Apply Pascal’s triangle to a binomial experiment.
9. Demonstrate an understanding of geometry and measurement.
   1. Describe and use properties of polygons.
   2. Explain the minimum characteristics needed to describe a type of triangle or quadrilateral.
   3. Solve problems using reflection and rotation symmetry.
   4. Solve problems involving regular polygons, tessellations, and circles.
   5. Use the vocabulary of geometry including, but not limited to, points, lines (parallel, intersecting, skew), planes, rays, adjacent angles, alternate interior angles, vertex angles, interior angles, and exterior angles.
   6. Derive the rule for the sum of the interior angles of a triangle.
   7. Solve problems using the properties of the angles (central, vertex, exterior) of a regular polygon; discuss relationships among the angles.
   8. Identify the regular polygons that can form tessellations of a plane.
   9. Identify properties of polyhedra; justify Euler’s formula for polyhedra.
   10. Identify properties of cones, cylinders, and spheres.
   11. Solve problems involving perimeter, area, and volume.
10. Communicate effectively about mathematics and statistics.
    1. Use writing to communicate an understanding of the concepts listed in items #1-8 above.

MTH 117 - Math for Allied Health

1. Demonstrate the ability to perform operations with fractions.
   1. Change improper fractions to mixed numbers and mixed numbers to improper fractions.
   2. Reduce fractions to lowest terms.
   3. Multiply and divide fractions.
   4. Compare fraction values.
2. Demonstrate the ability to perform operations with decimals.
   1. Read and write decimals.
   2. Round decimal numbers to a given place value.
   3. Add, subtract, multiply, and divide decimal numbers.
   4. Compare decimals values.
   5. Change fractions and mixed numbers to decimal equivalents.
3. Demonstrate the ability to work with proportions.
   1. Solve and check proportions.
   2. Use proportions to solve applied problems.
4. Demonstrate the ability to work with percents.
   1. Change a percent to a fraction.
   2. Change a fraction to a percent.
   3. Change a fraction to a decimal.
   4. Change a decimal to percent.
   5. Compare fractions, decimals, and percents.
   6. Use percents to solve applied problems.
5. Demonstrate the ability to work with metric and household units.
   1. Read and write units (including abbreviations) in the metric and household systems.
   2. Convert within the metric system.
   3. Convert between household and metric units.
   4. Solve practical problems involving metric and household units.
6. Demonstrate the ability to interpret labels:
   1. Read drug labels and identify trade and generic names.
   2. Interpret labels involving units, percentages, ratios, and milliequivalents.
   3. Locate dosage strengths and calculate dosages.
7. Demonstrate the ability to read syringe calibrations.
   1. Identify the amount of solution in a syringe.
   2. Draw an arrow or shade a syringe barrel to indicate level of a required dosage.
8. Demonstrate the ability to calculate oral and parenteral dosages.
   1. Calculate dosage of tablets and capsules.
   2. Calculate dosages of oral solutions.
   3. Calculate dosages of injectable drugs.
   4. Work practical problems involving drug dosages.
9. Demonstrate the ability to do calculations involving intravenous fluids.
   1. Interpret IV fluid abbreviations.
   2. Calculate various rates of flow for IV fluids.
   3. Calculate the running time for IV fluids.
   4. Work practical problems involving IV fluids.
10. Demonstrate the ability to assess the accuracy of dosages.
    1. Calculate a patient’s body surface area.
    2. Use a patient’s weight to calculate a dosage.
    3. Use a patient’s body surface to calculate a dosage.
    4. Assess the accuracy of dosage on the basis of a patient’s weight.
    5. Assess the accuracy of a dosage on the basis of a patient’s body surface area.

MTH 118AW - Mathematical Explorations Extended Hours

Credits: 4
Instructional Contact Hours: 6

1. Apply basic concepts for mathematical finance.
   1. Apply the concepts and formulas of compound interest, simple interest and future value and present value annuities.
   2. Model a scenario for wealth accumulation.
   3. Work with amortization tables
   4. Explore the brilliant human invention of compound interest and exponential growth.
2. Apply the basic concepts of statistics.
   1. Present data using statistical graphs: stem and leaf plots, bar graphs, histograms, line graphs, circle graphs, and box and whisker plots.
   2. Interpret several types of graphs.
   3. Summarize data using the following measures of central tendency: mode, median, and mean.
   4. Summarize data using the following measures of dispersion: standard deviation, variance and range.
   5. Apply and interpret percentiles.
   6. Describe features of a normal distribution.
3. Apply concepts of elementary probability.
   1. Use sample spaces to show possible outcomes and calculate probabilities.
   2. Use a tree diagram to represent the outcomes in a sample space and calculate probabilities.
   3. Compute probabilities in a binomial experiment.
   4. Determine the odds in favor of or against an event occurring.
   5. Compute the expected value of an event.
   6. Determine whether two events, A and B, are dependent or independent.
   7. Determine whether two events, A and B, are mutually exclusive.
   8. Compute compound probabilities, that is P(A and B) or P(A or B).
4. Apply concepts in geometry.
   1. Find the area of rectangles, squares, parallelograms, triangles, and circles.
   2. Find the perimeter of any given polygon and the circumference of any given circle.
   3. Find the volume of rectangular solids, cylinders, cones, and spheres.
   4. Find the surface area of rectangular solids and cylinders.
   5. Explore and describe the numerical and geometric patterns that occur in art and nature.
   6. Perform conversions in various systems of measurement.
   7. Work with English and Metric systems of measurement.
   8. Convert between Celsius and Fahrenheit.
5. Communicate effectively about mathematics.
   1. Provide complete written solutions to problems using appropriate terminology.
   2. Articulate important ideas and conclusions in writing.
6. Use technology (graphing calculator) appropriately to assist in mathematical problem solving.
   1. Use the Finance menu of the graphing calculator to simplify complicated mathematical calculations.
   2. Use the binomial probability distribution function of the calculator to simplify binomial probability calculations.
   3. Use the Stat Plot feature of the graphing calculator to assist in generating statistical graphs. 
   4. Use the Stat menu of the graphing calculator to assist in calculating complicated statistics such as the standard deviation.
7. Demonstrate an understanding in specialized areas of mathematics.

Faculty members will choose at least 4 objectives from the following list A-K:

1. Apply the mathematics of economics.
   1. Use and apply growth models such as population growth, Ponzi schemes, and chain letters.
   2. Use and apply decay models such as population decline, radioactive decay, half-life and carbon-14 dating.
   3. Use and apply logistic models.
   4. Describe the mathematics behind the Consumer Price Index.
   5. Model biological populations with chaos theory.
2. Investigate and apply the elementary concepts of calculus. Define a derivative and provide several of examples of its use.
   1. Define an integral and provide several of examples of its use.
   2. Explain the relationship between a derivative and a rate of change.
   3. Explain the relationship between and integral and an area.
   4. Solve elementary problems in differential calculus.
   5. Solve elementary problems in integral calculus.
3. Use graph theory to solve problems. 
   1. Define, understand, and use Euler paths and circuits.
   2. Solve problems using Euler’s Theorem.
   3. Define, understand, and use Hamilton paths and circuits.
   4. Use directed graphs to model relationships and realistic situations.
   5. Define, understand, and use spanning trees for both connected and weighted graphs.
4. Demonstrate understanding of set properties.
   1. Identify the basic properties of sets and subsets.
   2. Define and use the complement of a set.
   3. Use Venn diagrams to visualize set relationships.
   4. Perform operations with sets (union and intersection).
   5. Use Venn diagrams to organize survey results.
5. Demonstrate understanding of the relationship between mathematics and various games.
   1. Explain the mathematics behind a variety of games.
   2. Use game theory to solve games.
6. Apply concepts in number theory.
   1. Apply mathematics to identification numbers.
   2. Apply the division algorithm and modular arithmetic to check-digit schemes.
   3. Explain the encoding of data involving a variety of codes including binary codes and UPC Bar codes.
   4. Explore and describe patterns and relationships in the Fibonacci numbers.
   5. Explore and describe patterns and relationships in Pascal’s triangle.
7. Apply the concepts of logic.
   1. Define, compare and contrast inductive and deductive reasoning.
   2. Construct and use truth tables.
   3. Use the definitions of negation, conjunction, and disjunction.
   4. Understand and use a variety of statements (conditional statement, equivalent statements, tautologies, conditional statements).
   5. Write the contra positive, converse, and negation of a conditional statement.
   6. Write equivalent statements using DeMorgan’s laws.
   7. Use forms of valid arguments to draw logical conclusions.
   8. Use Euler diagrams to determine validity.
   9. Apply Boolean logic to web searches.
   10. Use logic to solve puzzles.
8. Demonstrate understanding of the mathematics of apportionment.
   1. Understand the apportionment problem.
   2. Use a variety of apportionment methods.
9. Discuss the mathematics of voting.
   1. Use a variety of voting methods to determine an election’s winner.
   2. Use a variety of criteria to determine a voting system’s fairness.
10. Use the Fundamental Counting Principle to determine the number of outcomes in a sample space.
    1. Use the Fundamental Counting Principle to count permutations.
    2. Determine the number of permutation and combinations in a given scenario.
    3. Solve problems using permutation and combination formulas.
    4. Calculate probabilities using permutations and combinations.
11. Solve optimization problems using linear programming.
    1. Write an objective function describing a quantity that must be minimized or maximized.
    2. Define constraints mathematically with linear inequalities.
    3. Solve a linear programming problem graphically.
    4. Solve a linear programming problem with technology using the Simplex Method.

MTH 118W - Mathematical Explorations

Credits: 4
Instructional Contact Hours: 4

1. Apply basic concepts for mathematical finance.
   1. Apply the concepts and formulas of compound interest, simple interest and future value and present value annuities.
   2. Model a scenario for wealth accumulation.
   3. Work with amortization tables
   4. Explore the brilliant human invention of compound interest and exponential growth.
2. Apply the basic concepts of statistics.
   1. Present data using statistical graphs: stem and leaf plots, bar graphs, histograms, line graphs, circle graphs, and box and whisker plots.
   2. Interpret several types of graphs.
   3. Summarize data using the following measures of central tendency: mode, median, and mean.
   4. Summarize data using the following measures of dispersion: standard deviation, variance and range.
   5. Apply and interpret percentiles.
   6. Describe features of a normal distribution.
3. Apply concepts of elementary probability.
   1. Use sample spaces to show possible outcomes and calculate probabilities.
   2. Use a tree diagram to represent the outcomes in a sample space and calculate probabilities.
   3. Compute probabilities in a binomial experiment.
   4. Determine the odds in favor of or against an event occurring.
   5. Compute the expected value of an event.
   6. Determine whether two events, A and B, are dependent or independent.
   7. Determine whether two events, A and B, are mutually exclusive.
   8. Compute compound probabilities, that is P(A and B) or P(A or B).
4. Apply concepts in geometry.
   1. Find the area of rectangles, squares, parallelograms, triangles, and circles.
   2. Find the perimeter of any given polygon and the circumference of any given circle.
   3. Find the volume of rectangular solids, cylinders, cones, and spheres.
   4. Find the surface area of rectangular solids and cylinders.
   5. Explore and describe the numerical and geometric patterns that occur in art and nature.
   6. Perform conversions in various systems of measurement.
   7. Work with English and Metric systems of measurement.
   8. Convert between Celsius and Fahrenheit.
5. Communicate effectively about mathematics.
   1. Provide complete written solutions to problems using appropriate terminology.
   2. Articulate important ideas and conclusions in writing.
6. Use technology (graphing calculator) appropriately to assist in mathematical problem solving.
   1. Use the Finance menu of the graphing calculator to simplify complicated mathematical calculations.
   2. Use the binomial probability distribution function of the calculator to simplify binomial probability calculations.
   3. Use the Stat Plot feature of the graphing calculator to assist in generating statistical graphs. 
   4. Use the Stat menu of the graphing calculator to assist in calculating complicated statistics such as the standard deviation.
7. Demonstrate an understanding in specialized areas of mathematics.

Faculty members will choose at least 4 objectives from the following list A-K:

1. Apply the mathematics of economics.
   1. Use and apply growth models such as population growth, Ponzi schemes, and chain letters.
   2. Use and apply decay models such as population decline, radioactive decay, half-life and carbon-14 dating.
   3. Use and apply logistic models.
   4. Describe the mathematics behind the Consumer Price Index.
   5. Model biological populations with chaos theory.
2. Investigate and apply the elementary concepts of calculus. Define a derivative and provide several of examples of its use.
   1. Define an integral and provide several of examples of its use.
   2. Explain the relationship between a derivative and a rate of change.
   3. Explain the relationship between and integral and an area.
   4. Solve elementary problems in differential calculus.
   5. Solve elementary problems in integral calculus.
3. Use graph theory to solve problems. 
   1. Define, understand, and use Euler paths and circuits.
   2. Solve problems using Euler’s Theorem.
   3. Define, understand, and use Hamilton paths and circuits.
   4. Use directed graphs to model relationships and realistic situations.
   5. Define, understand, and use spanning trees for both connected and weighted graphs.
4. Demonstrate understanding of set properties.
   1. Identify the basic properties of sets and subsets.
   2. Define and use the complement of a set.
   3. Use Venn diagrams to visualize set relationships.
   4. Perform operations with sets (union and intersection).
   5. Use Venn diagrams to organize survey results.
5. Demonstrate understanding of the relationship between mathematics and various games.
   1. Explain the mathematics behind a variety of games.
   2. Use game theory to solve games.
6. Apply concepts in number theory.
   1. Apply mathematics to identification numbers.
   2. Apply the division algorithm and modular arithmetic to check-digit schemes.
   3. Explain the encoding of data involving a variety of codes including binary codes and UPC Bar codes.
   4. Explore and describe patterns and relationships in the Fibonacci numbers.
   5. Explore and describe patterns and relationships in Pascal’s triangle.
7. Apply the concepts of logic.
   1. Define, compare and contrast inductive and deductive reasoning.
   2. Construct and use truth tables.
   3. Use the definitions of negation, conjunction, and disjunction.
   4. Understand and use a variety of statements (conditional statement, equivalent statements, tautologies, conditional statements).
   5. Write the contra positive, converse, and negation of a conditional statement.
   6. Write equivalent statements using DeMorgan’s laws.
   7. Use forms of valid arguments to draw logical conclusions.
   8. Use Euler diagrams to determine validity.
   9. Apply Boolean logic to web searches.
   10. Use logic to solve puzzles.
8. Demonstrate understanding of the mathematics of apportionment.
   1. Understand the apportionment problem.
   2. Use a variety of apportionment methods.
9. Discuss the mathematics of voting.
   1. Use a variety of voting methods to determine an election’s winner.
   2. Use a variety of criteria to determine a voting system’s fairness.
10. Use the Fundamental Counting Principle to determine the number of outcomes in a sample space.
    1. Use the Fundamental Counting Principle to count permutations.
    2. Determine the number of permutation and combinations in a given scenario.
    3. Solve problems using permutation and combination formulas.
    4. Calculate probabilities using permutations and combinations.
11. Solve optimization problems using linear programming.
    1. Write an objective function describing a quantity that must be minimized or maximized.
    2. Define constraints mathematically with linear inequalities.
    3. Solve a linear programming problem graphically.
    4. Solve a linear programming problem with technology using the Simplex Method.

MTH 119AW - Intermediate Algebra Extended Hours

1. Demonstrate skill working with algebraic expressions.
   1. Add, subtract, multiply, and divide polynomial expressions.
   2. Factor a variety of polynomials. (Taking out a common factor, difference of squares, sum/difference of cubes, trinomials, and by grouping.)
   3. Reduce, add, subtract, multiply, and divide rational expressions.
   4. Convert between radical and exponential form.
   5. Simplify expressions using the rules of exponents (including negative and fractional exponents).
   6. Simplify expressions using the laws of logarithms.
   7. Convert between exponential and logarithmic form.
   8. Write complex numbers in a + bi form.
   9. Add, subtract, multiply, and divide complex numbers.
2. Solve a variety of equations, inequalities, and systems of equations.
   1. Solve a variety of polynomial, radical, rational, exponential, logarithmic, and absolute value equations.
   2. Solve equations symbolically, graphically, and numerically.
   3. Solve a variety of linear and absolute value inequalities.
   4. Solve inequalities symbolically and graphically.
   5. Use interval notation, relational symbols (< , >, , ), a 1-dimensional graph, or a verbal  description to describe a set of numbers.
   6. Solve systems of equations algebraically, graphically and using TI-83 software (rref).
3. Demonstrate understanding of concepts related to general functions.
   1. State and explain the definition of a function.
   2. Identify several characteristics of functions.
   3. Identify or describe relationships between the numerical, graphical, and algebraic representations of a function.
   4. Evaluate, compose, and compute with functions.
   5. Identify examples of functions in the real world.
   6. Describe the relationships between a function and its inverse function.
4. Demonstrate understanding of concepts related to linear functions.
   1. Calculate the slope of a line in a variety of contexts.
   2. Identify the slope of a line as positive, negative, zero, or undefined.
   3. Interpret the slope of a line in an applied context.
   4. Calculate the y-intercept of a line in a variety of contexts.
   5. Interpret the y-intercept of a line in an applied context.
   6. Calculate the x-intercept of a line in a variety of contexts.
   7. Interpret the x-intercept of a line in an applied context.
   8. Calculate the equation of a line in a variety of contexts.
   9. Recognize a linear function and its corresponding graph.
5. Demonstrate understanding of concepts related to quadratic functions.
   1. Complete the square for a variety of quadratic expressions.
   2. Recognize a quadratic function and its corresponding parabolic graph.
   3. Determine the x and y coordinates of the maximum or minimum point of a parabola.
6. Demonstrate understanding of concepts related to logarithmic or exponential functions.
   1. Recognize an exponential function and its corresponding graph.
   2. Recognize a logarithmic function and its corresponding graph.
   3. Describe the inverse relationships between the logarithmic and exponential functions.
   4. Describe the growth and decay properties of exponential and logarithmic functions.
7. Demonstrate skills with Cartesian graphs.
   1. Construct the graph of a polynomial, absolute value, logarithmic, exponential, or radical function if given the corresponding equation.
   2. Construct a graph representing a given scenario.
   3. Identify an appropriate scale for both axes when constructing a graph.
   4. Approximate a curve of best fit if given a set of data.
   5. Describe trends in a set of data.
   6. Identify the x and y coordinates of maximums and minimums of a graph.
   7. Identify where a graph is increasing, decreasing, and constant.
   8. Approximate one coordinate of a point on a graph if given the other.
   9. Identify graphs as linear, quadratic, exponential, or logarithmic.
8. Demonstrate problem-solving skills.
   1. Solve real world problems involving linear equations, quadratic equations, exponential equations, logarithmic equations, rational equations, and systems of equations.
   2. Use mathematical modeling to solve real world problems.
   3. Clarify and analyze the meanings of words, phrases and statements.
   4. Learn the meanings of relevant symbols used in the discipline and ways to use them.
   5. Transfer problem solving strategies for use in new contexts.
   6. Organize and present information or data in tables, charts, and graphs.
   7. Use symbol systems to raise questions about models and proposed answers to problems.
   8. Identify, state and clarify arguments or reasoning, including those codified by systems of symbols.
   9. Generate and assess solutions to problems.
9. Communicate effectively about mathematics.
   1. Orally describe solutions to problems using appropriate terminology.
   2. Provide complete written solutions to problems using appropriate terminology.
   3. Use appropriate vocabulary for the audience and purpose.
   4. Derive meaning from a reading.
   5. Articulate important ideas and conclusions in writing.
10. Use a graphing calculator to analyze functions.
    1. Graph and linear, quadratic, square root, exponential, or logarithmic function.
    2. Create a table of input/output pairs for any given function.
    3. Determine an appropriate window to obtain a complete graph of a linear, quadratic, square root, exponential, or logarithmic function.
    4. Find the intersection of any two functions.
    5. Evaluate any numerical expression involving linear, quadratic, rational, square root, exponential, or logarithmic functions.

MTH 119W - Intermediate Algebra

1. Students will develop their skills in recognizing, evaluating, and simplifying algebraic expressions.
   1. Add, subtract, multiply, and divide polynomial expressions.
   2. Factor a variety of polynomials. (Taking out a common factor, difference of squares, sum/difference of cubes, trinomials, and by grouping.)
   3. Reduce, add, subtract, multiply, and divide rational expressions.
   4. Convert between radical and exponential form.
   5. Simplify expressions using the rules of exponents (including negative and fractional exponents).
   6. Simplify expressions using the laws of logarithms.
   7. Convert between exponential and logarithmic form.
   8. Write complex numbers in a + bi form.
   9. Add, subtract, multiply, and divide complex numbers.
2. Students can solve a variety of equations, inequalities, and systems of equations.
   1. Solve a variety of polynomial, radical, rational, exponential, logarithmic, and absolute value equations.
   2. Solve equations symbolically, graphically, and numerically.
   3. Solve a variety of linear and absolute value inequalities.
   4. Solve inequalities symbolically and graphically.
   5. Use interval notation, relational symbols (< , >, , ), a 1-dimensional graph, or a verbal description to describe a set of numbers.
   6. Solve systems of equations algebraically, graphically and using TI-83 software (rref).
3. Students can define, recognize, and understand concepts related to functions.
   1. State and explain the definition of a function.
   2. Identify several characteristics of functions.
   3. Identify or describe relationships between the numerical, graphical, and algebraic representations of a function.
   4. Evaluate, compose, and compute with functions.
   5. Identify examples of functions in the real world.
   6. Describe the relationships between a function and its inverse function.
4. Students can recognize and understand concepts related to linear functions.    
   1. Calculate the slope of a line in a variety of contexts.
   2. Identify the slope of a line as positive, negative, zero, or undefined.
   3. Interpret the slope of a line in an applied context.
   4. Calculate the y-intercept of a line in a variety of contexts.
   5. Interpret the y-intercept of a line in an applied context.
   6. Calculate the x-intercept of a line in a variety of contexts.
   7. Interpret the x-intercept of a line in an applied context.
   8. Calculate the equation of a line in a variety of contexts.
   9. Recognize a linear function and its corresponding graph.
5. Students can recognize and understand concepts related to quadratic functions.
   1. Complete the square for a variety of quadratic expressions.
   2. Recognize a quadratic function and its corresponding parabolic graph.
   3. Determine the x and y coordinates of the maximum or minimum point of a parabola.
6. Students can recognize and understand concepts related to logarithmic and exponential functions.
   1. Recognize an exponential function and its corresponding graph.
   2. Recognize a logarithmic function and its corresponding graph.
   3. Describe the inverse relationships between the logarithmic and exponential functions.
   4. Describe the growth and decay properties of exponential and logarithmic functions.
7. Students will develop their skills in the construction and interpretation of Cartesian graphs.
   1. Construct the graph of a polynomial, absolute value, logarithmic, exponential, or radical function if given the corresponding equation.
   2. Construct a graph representing a given scenario.
   3. Identify an appropriate scale for both axes when constructing a graph.
   4. Approximate a curve of best fit if given a set of data.
   5. Describe trends in a set of data.
   6. Identify the x and y coordinates of maximums and minimums of a graph.
   7. Identify where a graph is increasing, decreasing, and constant.
   8. Approximate one coordinate of a point on a graph if given the other.
   9. Identify graphs as linear, quadratic, exponential, or logarithmic.
8. Students will develop their problem-solving and mathematical modeling skills.
   1. Solve real world problems involving linear equations, quadratic equations, exponential equations, logarithmic equations, rational equations, and systems of equations.
   2. Use mathematical modeling to solve real world problems.
   3. Clarify and analyze the meanings of words, phrases and statements.
   4. Learn the meanings of relevant symbols used in the discipline and ways to use them.
   5. Transfer problem solving strategies for use in new contexts.
   6. Organize and present information or data in tables, charts, and graphs.
   7. Use symbol systems to raise questions about models and proposed answers to problems.
   8. Identify, state and clarify arguments or reasoning, including those codified by systems of symbols.
   9. Generate and assess solutions to problems.
9. Students will communicate effectively about mathematics.
   1. Orally describe solutions to problems using appropriate terminology.
   2. Provide complete written solutions to problems using appropriate terminology.
   3. Use appropriate vocabulary for the audience and purpose.
   4. Derive meaning from a reading.
   5. Articulate important ideas and conclusions in writing.
10. Students will use a graphing calculator to evaluate and analyze linear, quadratic, square root, exponential, and logarithmic functions.
    1. Graph and linear, quadratic, square root, exponential, or logarithmic function.
    2. Create a table of input/output pairs for any given function.
    3. Determine an appropriate window to obtain a complete graph of a linear, quadratic, square
    4. Find the intersection of any two functions.
    5. Evaluate any numerical expression involving linear, quadratic, rational, square root, exponential, or logarithmic functions.

MTH 120 - Finite Mathematics

1. Students will demonstrate an understanding of functions and function notation.
   1. Define the terms function, domain and range.
   2. Determine if a relationship is a function.
   3. Graph functions.
   4. Evaluate functions at points in its domain.
   5. Determine the domain of a function.
   6. Distinguish between different types of functions.
   7. Manipulate the algebraic representation of a function.
   8. Use functions as mathematical models.
2.  
   1. Use matrices as a tool to manipulate systems of equations.
   2. Solve systems of equations using appropriate methods.
   3. Formulate the parts of linear programming problem
   4. Solve a 2 variable linear programming problem graphically.
   5. Set up the linear programming problem for solution by Simplex Method.
   6. Determine if the Simplex Method has found the optimal solution.
   7. Write out the solution given by the Simplex Method.
3. Students can demonstrate an understanding of basic probability and counting.
   1. Define classical and empirical probability, permutations and combinations.
   2. Use the definitions to determine the probabilities of events.
   3. Differentiate between permutations and combinations.
   4. Use the language of sets appropriately.
4. Students will be able to demonstrate an understanding of the basic formulas of finance.
   1. Determine the appropriate financial formula to use for a given problem.
   2. Correctly compute values derive from these formulas.
   3. Define the terms compound interest, simple interest, annuity, future value and present value.
5. Students can demonstrate an understanding of measures of central tendency and variation.
   1. Define and compute the mean, median, and mode.
   2. Define and compute the standard deviation, variance and range.
6. Students will demonstrate an understanding of how to apply mathematics to solve real world problems.
   1. Use the concepts of functions and function notation to solve application problems.
   2. Use the concepts of systems of equations and inequalities to solve application problems.
   3. Use the concepts of probability and counting to solve application problems.
   4. Use financial formulas to solve application problems.
7. Students will demonstrate an understanding of functions and function notation.
8. Students will use technology (calculator/computer software) appropriately to do mathematics

MTH 121 - Plane Trigonometry

1. Define, identify the characteristics of, and solve problems related to angles.
   1. Define basic terminology of angles and triangles (initial side, terminal side, vertex, positive angle, negative angle, coterminal angles, right angle, straight angle, acute angle, obtuse angle, complementary angles, supplementary angles.)
   2. Differentiate between radian and degree measure.
   3. Convert between radian and degree measure.
   4. Solve problems involving similar triangles.
2. Student can define and apply the 6 trigonometric ratios.
   1. Express the relationship between the sides of a right triangle and the 6 trigonometric ratios.
   2. Evaluate the 6 trigonometric ratios and their inverses with a calculator.
   3. Use the sign properties of the six trigonometric functions.
   4. Use reference angles and triangles to determine the values for trigonometric functions whose terminal sides are not in the first quadrant.
   5. Apply the 6 trigonometric ratios to right triangle problems.
3. Student can construct and interpret graphs of trigonometric functions.
   1. Determine the domain and range of a trigonometric function.
   2. Sketch the graphs of the 6 basic trigonometric functions.
   3. Graph and interpret transformations of sine and cosine functions.
4. Student can use and apply inverse trigonometric functions.
   1. Identify the algebraic and geometric properties of inverse functions.
   2. Determine the domain and range of the three basic inverse trigonometric functions.
   3. Sketch the graphs of the 3 basic inverse trigonometric functions.
   4. Rewrite a composition of trigonometric and inverse trig functions as an algebraic expression.
5. Student can solve a variety of trigonometric equations.
   1. Solve trigonometric equations of the form f (x) = a, where f is a basic trigonometric function and a is a real number.
   2. Solve trigonometric equations of the form f (kx) = a, where f is a basic trigonometric function, k is a natural number, and a is a real number.
   3. Solve trigonometric equations which are quadratic in form.
6. Student can use identities to rewrite trigonometric expressions.
   1. Know and apply Pythagorean identities.
   2. Know and apply quotient identities.
   3. Know and apply reciprocal identities.
   4. Use basic identities (sum, difference, double angle, half angle) to rewrite expressions.
7. Student can demonstrate an understanding of polar coordinates, polar equations, and polar graphs.
   1. Plot points in a polar coordinate system.
   2. Convert between polar and rectangular coordinates.
   3. Convert equations between polar and rectangular form.
   4. Graph simple polar equations.
8. Student can define and use complex numbers in trigonometric form.
   1. Plot complex numbers in the complex plane.
   2. Convert complex numbers between rectangle and trigonometric form.
   3. Apply DeMoivre’s Theorem.
   4. Perform operations with complex numbers in trigonometric form.
9. Students can demonstrate an understanding of vectors.
   1. Add and subtract vectors graphically.
   2. Add and subtract vectors algebraically.
   3. Use trigonometry to solve problems involving vectors.
10. Student can solve a variety of oblique triangles.
    1. Use the Law of Sines to solve oblique triangles.
    2. Use the Law of Cosines to solve oblique triangles.
11. Student can communicate effectively about mathematics.
12. Student can use technology appropriately to do mathematics.
    1. Identify when technology is appropriate for problem solving.
    2. Evaluate the reasonableness of results.

MTH 122W - College Algebra

1. Students will  recognize and understand notation describing sets of real numbers.
   1. Understand set and interval notation .
   2. Apply the operations of intersection and union.
2. Students can perform operations on polynomial functions.
   1. Apply properties of positive integral exponents.
   2. Perform addition, subtraction, multiplication and division of polynomial functions.
   3. Perform synthetic division.
   4. Factor polynomials.
   5. Reduce rational expression to simplest form.
   6. Add, subtract, multiply and divide rational expressions (including complex fractions).
3. Students can perform operations on radical functions.
   1. Apply the properties of rational exponents.
   2. Add, subtract, multiply and divide radicals, expressing solutions in simplest form.
4. Students can recognize, graph and solve problems relating to linear functions.
   1. Graph ordered pairs of any relation and identify whether or not it is a function.
   2. Graph any linear function.
   3. Find the distance between any two points in the plane.
   4. Find the slope of a line.
   5. Find the equation of a line, given information.
   6. Solve and graph a linear inequality.
   7. Solve absolute value equations and inequalities.
5. Students will be able to graph any polynomial function
   1. Determine intercepts, axis of symmetry and maximum or minimum of a quadratic.
   2. Graph any quadratic function.
   3. Use synthetic division to identify zeros and graph any polynomial function.
6. Students can solve nonlinear equations and inequalities involving a function of one variable.
   1. Solve quadratic equations by factoring, the quadratic formula, and graphing.
   2. Solve equations involving radicals.
   3. Solve polynomial equations symbolically (using synthetic division).
   4. Solve polynomial equations of degree greater than 2 using tables and graphs.
   5. Solve quadratic inequalities.
   6. Set up and solve application problems .
7. Students can recognize and understand concepts related to logarithmic and exponential functions.
   1. Recognize an exponential or logarithmic function and its graph.
   2. Solve exponential or logarithmic equations.
8. Students can solve systems of equations and inequalities.
   1. Solve systems of  2 and 3 linear equations.
   2. Solve linear programming problems.
   3. Solve systems of inequalities graphically.
   4. Set up and solve application problems.
9. Students can work with matrices and determinants.
   1. Apply basic operations to matrices.
   2. Evaluate determinants.
   3. Solve systems of equations by matrix methods.
10. Students can work with complex numbers.
    1. Define numbers in the form a + bi.
    2. Add, subtract, multiply, and divide complex numbers.
    3. Solve quadratic equations with complex solutions.
11. Students can work with sequences and series.
    1. Find the terms of an arithmetic and geometric sequence.
    2. Find the sum of an arithmetic and geometric series.
    3. Apply the Binomial Theorem.
12. Students can communicate effectively about mathematics in writing.
    1. Provide complete written solutions to problems using appropriate terminology.
    2. Articulate important ideas and conclusions in writing.
13. Students will develop their problem-solving and mathematical modeling skills.
    1. Solve real world problems involving linear equations, quadratic equations, exponential equations, logarithmic equations, rational equations, and systems of equations.
    2. Use mathematical modeling to solve real world problems.
    3. Clarify and analyze the meanings of words, phrases and statements.
    4. Learn the meanings of relevant symbols used in the discipline and ways to use them.
    5. Transfer problem solving strategies for use in new contexts.
    6. Organize and present information or data in tables, charts, and graphs.
    7. Use symbol systems to raise questions about models and proposed answers to problems.
    8. Identify, state and clarify arguments or reasoning, including those codified by systems of symbols.
    9. Generate and assess solutions to problems.
14. Students will use graphing calculator technology to evaluate and analyze solutions to various functions.
    1. Graph linear, quadratic, radical, polynomial, exponential, or logarithmic function.
    2. Create a table of input/out pairs for any given function.
    3. Determine an appropriate window to obtain a complete graph of a linear, quadratic, square root, exponential, or logarithmic function.
    4. Find the intersection of any two functions
    5. Evaluate any numerical expression involving linear, quadratic, rational, square root, exponential, or logarithmic functions.

MTH 151 - Pre-Calculus Mathematics

1. Develop problem-solving and mathematical modeling skills.
   1. Solve application problems involving algebraic, trigonometric, exponential, and logarithmic functions.
   2. Use mathematical modeling to fit a curve of best fit to a set of real world data.
2. Demonstrate a conceptual understanding of a function.
   1. Recognize the multiple representations of a function.
   2. Translate between different representations of a function.
3. Understand functions and functional notation.
   1. Identify the domain and range of a function.
   2. Add, subtract, multiply, divide, and compose functions. Identify their resulting domains.
   3. Describe the effect a horizontal or vertical shift of a function has on its graph and equation.
   4. Describe the effect a reflection of a function about an axis has on its graph and equation.
   5. Evaluate functions exactly and approximately.
4. Demonstrate a conceptual understanding of an inverse function.
   1. Identify the algebraic and graphical relationship between a function and its inverse.
   2. Describe and compute the inverse of a one-to-one function.
5. Understand the algebraic and geometric properties of linear, quadratic, polynomial, piecewise, rational, trigonometric and inverse trigonometric, and logarithmic and exponential functions.
   1. Identify the extreme values of these functions and their locations.
   2. Identify intervals in which these functions are increasing or decreasing.
   3. Describe the end behavior of these functions.
   4. Identify the x- and y-intercepts of the graphs of these functions.
   5. Identify the linear asymptotes of these functions.
   6. Sketch the graphs of these functions.
6. Solve a variety of equations, inequalities, and systems of equations.
   1. Solve an n x n system of linear equations, n = 2, 3, or 4.
   2. Solve polynomial, trigonometric, logarithmic, and exponential equations.
   3. Solve polynomial and rational inequalities.
   4. Solve systems of nonlinear equations graphically and by substitution.
7. Demonstrate an understanding of conic sections.
   1. Sketch the graph of a conic section given its equation or characteristics.
   2. Write the equation of a conic section in standard form given its graph or characteristics.
   3. Determine the characteristics of a conic section given its equation or graph.
8. Demonstrate an understanding of parametric equations.
   1. Sketch graphs of parametric equations.
   2. Convert between parametric and rectangular equations.
9. Demonstrate an understanding of polar equations and their graphs.
   1. Sketch polar graphs.
   2. Convert points and equations between rectangular and polar form.
   3. Identify symmetries in polar graphs.
10. Demonstrate a basic understanding of sequences and series. Objectives
    1. Identify and evaluate basic sequences, including arithmetic and geometric sequences.
    2. Identify and evaluate arithmetic and geometric series.
    3. Express series in summation notation.
11. Communicate effectively about mathematics.

MTH 153 - Algebra for Calculus

1. Provide high school students the opportunity to use their algebra and to experience a college taught course in mathematics.
   1. To provide opportunities for students to use their algebra skills while being introduced to the topics in Calculus.
   2. To provide opportunities for students to identify their weaknesses in algebra.
   3. To provide opportunities for students to become more aware of the importance of algebra in learning other topics of mathematics.
   4. To provide opportunities for student to communicate in mathematics.
   5. To provide opportunities for students to experience a college taught mathematics course.
   6. To provide opportunities for students to prepare for a college course in Calculus.
   7. To provide opportunities for students to tutor algebra at Ricker Middle School.

MTH 160 - Calculus for the Social and Managerial Sciences

1. Demonstrate an understanding of the mathematical concepts of limit and continuity.
   1. Determine the existence of a limit algebraically or from a graph of the function.
   2. Determine one-sided and two-sided limits algebraically or from a graph of the function.
   3. Determine the continuity of a function at a point from the definition of continuity at a point or from the graph of the function.
2. Demonstrate an understanding of the mathematical concept of derivative.
   1. State the definition of a derivative.
   2. Use the different interpretations of a derivative appropriately.
   3. Approximate the value of a derivative of a function at a point from a graph of the function.
   4. Use the formulas to determine the derivatives (first derivative, second derivative, partial derivative) of polynomial, rational, exponential, logarithmic and radical functions.
   5. Determine, from the graph of the function, each point where the derivative of the function does not exist.
3. Demonstrate an understanding of the mathematical concept of integration.
   1. Evaluate indefinite integrals of elementary polynomial, rational, and exponential function.
   2. Define the definite integral using the concept of a limit.
   3. Appropriately use tables of integrals to determine the integral of a function.
   4. Determine the numerical value of a definite integral.
4. Demonstrate an understanding of the relationship between the concepts of limit, continuity, derivation, and integration.
   1. State the relationship between differentiation and integration.
   2. State the relationship between the existence of a limit, the continuity of a function, and the existence of a derivative of a function at a point.
5. Demonstrate an understanding of how derivatives and integrals can be used to solve problems.
   1. Determine the nature of a function (increasing or decreasing, concavity, inflection points, maximums or minimum) using derivatives.
   2. Use the derivative as a measure of rate of change in applied problems.
   3. Use integration to determine the total amount of change in a function in applied problems.
   4. Use an integral to determine area.
   5. Use numerical integration techniques to approximate definite integrals.
6. Communicate effectively about calculus.
   1. Use the specialized notation of derivatives and integrals appropriately.
   2. Describe solutions to problems, both verbally and in written form, using appropriate terminology.
7. Use technology appropriately to do mathematics.

MTH 161 - Analytic Geometry and Calculus I

1. Demonstrate understanding of limits.
   1. Evaluate limits symbolically, numerically and graphically with and without technology.
   2. Discuss the definition of the limit.
   3. Explain the relationship between limits and other concepts including continuity, derivatives, and integrals.
   4. Use L’Hopital’s Rule to evaluate limits.
2. Demonstrate understanding of derivatives.
   1. State the definition of the derivative.
   2. Determine where a function is differentiable and where it is not differentiable.
   3. Compute elementary derivatives using the limit definition.
   4. Compute derivatives symbolically, numerically and graphically without technology. Elementary derivatives include polynomials, powers, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions.
   5. Compute derivatives using the power rule, product rule, quotient rule, chain rule and implicit differentiation without technology.
   6. Explain the relationship between a function and its derivatives in a graphical setting.
   7. Use derivatives to solve applied problems including related rates, optimization, and differentials.
3. Demonstrate understanding of integrals.
   1. Define the definite integral using the concept of a limit.
   2. Determine the antiderivative of several elementary functions.
   3. Demonstrate an understanding of the Riemann Sum definition of integrals.
   4. Explain the Fundamental Theorem of Calculus and its importance.
   5. Evaluate definite and indefinite integrals using antiderivatives and substitution.
   6. Use appropriate approximation techniques to estimate integrals.
   7. Use integration techniques to solve applied problems.
4. Use technology appropriately to do mathematics.
   1. Evaluate limits.
   2. Numerically estimate the values of derivatives.
   3. Estimate definite integrals.
   4. Use tables.
   5. Graph a variety of functions.
5. Communicate effectively about mathematics.
   1. Verbally describe solutions to problems using appropriate terminology.
   2. Provide complete written explanations of concepts using appropriate terminology.
6. Demonstrate problem-solving or mathematical modeling skills.
   1. Clarify and analyze the meanings of words, phrases and statements.
   2. Learn the meanings of relevant symbols used in mathematics and use them appropriately.
   3. Organize and present information or data in tables, charts, and graphs.
   4. Use mathematics to model and solve problems.
   5. Identify, analyze and evaluate assumptions.
   6. Using mathematical symbolism, identify, state and clarify arguments or reasoning.
   7. Generate and assess solutions to problems.

MTH 162 - Analytic Geometry and Calculus II

1. The student will develop an understanding of hyperbolic functions.
   1. Evaluate derivatives of hyperbolic functions .
   2. Evaluate integrals related to hyperbolic functions.
2. The student will use integration to solve applied problems in a variety of settings.
   1. Find the area between two curves.
   2. Find volumes of solids of revolution.
   3. Find lengths of curves.
   4. Find the surface area of a solid of revolution.
   5. Solve applied problems which may include work, fluid pressure, and centers of mass.
3. The student will use a variety of integration techniques to solve problems in various settings.
   1. Determine which integration technique is appropriate to solve a given problem.
   2. Evaluate integrals using integration by parts.
   3. Evaluate integrals using the method of partial fraction decomposition.
   4. Evaluate integrals using trigonometric substitution.
   5. Evaluate integrals using trigonometric identities where appropriate.
   6. Evaluate integrals using integration tables.
   7. Evaluate improper integrals.
   8. Estimate definite integrals using the trapezoid rule and Simpson’s rule.
   9. Evaluate integrals using a computer algebra system (CAS).
4. The student will develop an understanding of sequences and series.
   1. Differentiate and integrate perform numerical estimates using power series.
   2. Determine whether a sequence converges or diverges.
   3. Determine the sum of a convergent geometric series.
   4. Use the following tests to determine the convergence, absolute convergence, or divergence of an infinite series: comparison test, integral test, and ratio test.
   5. Determine which test is appropriate to use on a given problem.
   6. Determine the radius and interval of convergence for power series.
   7. Determine the Taylor or Maclaurin series for a variety of functions.
5. The student will develop an understanding of the calculus of conic sections, parametric curves and polar equations.
   1. Determine parametric equations for a curve.
   2. Sketch graphs of parametric curves.
   3. Evaluate derivatives of curves defined parametrically.
   4. Find lengths of curves defined parametrically.
   5. Find the surface area of a solid of revolution for a parametric curve.
   6. Sketch graphs of polar equations.
   7. Determine the area enclosed by a polar curve or between 2 polar curves.
   8. Determine the length of a polar curve and the surface area of a solid of revolution for a polar curve.
6. The student will use technology appropriately to do mathematics.
7. The student will communicate effectively about mathematics.
   1. Verbally describe solutions to problems using appropriate terminology.
   2. Provide complete written solutions to problems using appropriate terminology.

MTH 208W - Elementary Statistics

1. Apply standard measures of descriptive statistics.
   1. Calculate and describe measures of center (mean, median, mode).
   2. Calculate and describe measures of variation (standard deviation, variance range).
   3. Percentiles.
   4. Graphs (frequency distributions, histograms, stem and leaf plots, box and whisker plots).
2. Demonstrate understanding of statistical inference.
   1. Identify different methods of data collection.
   2. Calculate and describe basic probability.
   3. Calculate probability using the binomial distribution, the normal distribution, and the central limit theorem.
   4. Use correlation and regression to describe relationships between numerical variables.
   5. Calculate confidence intervals to estimate population averages and proportions.
   6. Manually perform all of the steps of a hypothesis test for a claim about the population mean.
   7. Demonstrate understanding of the significant level of a test and the use of p-values in statistical software.
   8. Determine the appropriate test statistic and make inferences for a variety of models, including single sample mean (large and small sample), proportion and variance, two sample mean and proportion, Chi Square and ANOVA.
3. Communicate understanding of statistical concepts in writing.

MTH 209W - Statistics

1. Apply standard measures of descriptive statistics.
   1. Calculate, describe, and apply measures of center (mean, median, mode).
   2. Calculate, describe, and apply measures of variation (standard deviation, variance range).
   3. Calculate, describe, and apply percentiles.
   4. Calculate, describe, and apply graphs (frequency distributions, histograms, stem and leaf plots, box and whisker plots).
2. Demonstrate understanding of statistical inference.
   1. Identify different methods of data collection.
   2. Calculate and describe basic probability.
   3. Calculate probability using the binomial distribution, the normal distribution, and the central limit theorem.
   4. Use correlation and regression to describe relationships between numerical variables.
   5. Calculate confidence intervals to estimate population averages and proportions.
   6. Manually perform all of the steps of a hypothesis test for a claim about the population mean. Students will demonstrate their understanding of the significant level of a test and the use of p-values in statistical software.
   7. Determine the appropriate test statistic and make inferences for a variety of models, including single sample mean (large and small sample), proportion and variance, two sample mean and proportion, Chi Square and ANOVA.
   8. Determine the appropriate non-parametric test statistic and make inferences for a variety of models, including sign test, Wilcoxon Signed-Rank test for Matched pairs, Kruskal-Wallis Test and Rank Correlation.
3. Communicate an understanding of statistical concepts in writing.
4. Demonstrate knowledge of a statistical computer software package.

MTH 225 - Introduction to Data Science

1. Demonstrate relevant programming abilities.
   1. Code simple algorithms in a high-level programming language.
   2. Formulate simple algorithms to solve problems and code them in a high-level language appropriate for data science work (e.g., Python, SQL, R, Java).
   3. Create algorithms of moderate complexity and implement them in a data science programming language appropriate for data science work.
2. Demonstrate proficiency with statistical analysis of data.
   1. Perform standard data visualization and formal inference procedures and interpret the results.
   2. Choose appropriately from a wider range of descriptive and inferential methods for analyzing data and interpret the results contextually.
   3. Construct statistical models, assess the fit of such models to the data, and apply the models in real-world contexts.
3. Demonstrate the ability to build and assess data-based models.
   1. Demonstrate an understanding of what a model is and how to use a given model.
   2. Demonstrate use of more complex models and begin to construct models of their own.
   3. Recognize that different models fit and perform better than others and measure fit and performance appropriately.
4. Execute statistical analyses with professional statistical software.
   1. Generate simple statistical summaries using on-line tools or software not designed for statistical analyses (e.g., Excel).
   2. Create a wide range of visual and numerical data summaries and perform basic inferential procedures (confidence intervals and significance tests) using menu-driven statistical software.
   3. Apply complex models using dedicated statistical software (e.g., R, Minitab, SAS).
5. Demonstrate skill in data management
   1. Organize data after the data have been collected and cleaned and use data in the form in which the data are given.
   2. Perform basic data cleaning and transform variables to facilitate analysis.
   3. Acquire and clean data and move information in and out of relational databases.
   4. Demonstrate skills in acquisition of data, combining data from multiple sources, and data wrangling.
6. Describe the fundamental elements of relational database management systems.
   1. Explain the basic concepts of relational data model, entity-relationship (ER) model, relational database design, relational algebra, and SQL.
   2. Design ER models to represent simple database application scenarios.
   3. Convert the ER model to relational tables, populate relational database and formulate SQL queries on data.
   4. Improve the database design by normalization.
   5. Become familiar with basic database storage structures and access techniques: file and page organizations, indexing methods (e.g., B tree, hashing).
7. Apply data science concepts or methods to solve problems in real-world contexts.
   1. Choose appropriate data management strategies, perform relevant analyses, interpret and apply the results to inform understanding, and solve specific problems in context.
8. Communicate solutions to problem effectively.
   1. Communicate to a technical audience.

MTH 260 - Discrete Mathematics

1. The student will learn the fundamental terms and vocabulary of mathematical discourse.
   1. Use functions, sequences and summations.
   2. Use the fundamental properties of the integers.
   3. Use matrices in a variety of contexts.
   4. Use the basic principles of mathematical logic.
   5. Define, identify, and apply sets and set operations.
   6. Use the concepts of algorithm, recursion, and iteration.
   7. Use the concept of mathematical induction.
2. The student will learn the fundamental principles of counting.
   1. Set-up and solve problems related to permutations and combinations.
   2. Use generalized permutations and combinations.
   3. Apply the basic rules of probability in solving problems.
   4. Define, identify, and apply recurrence relations.
   5. Use the principle of inclusion-exclusion.
3. The student will learn about relations and their representations.
   1. Identify several fundamental properties of relations.
   2. Use tables, graphs, and matrices.
   3. Identify and define constructions of fundamental closures of relations.
   4. Define and identify equivalence relation and partition.
   5. Use various examples of partial orderings.
4. The student will learn the fundamental properties and applications of graphs and trees.
   1. Use fundamental graph and tree terminology.
   2. Identify several graphs.
   3. Define, identify, and apply Euler and Hamilton paths.
   4. Define, identify, and apply weighted graphs and shortest path problems.
   5. Define and solve problems related to homeomorphism and isomorphism of graphs.
   6. Define and solve problems related to tree traversal, spanning trees and minimal spanning trees.
5. The student will learn the fundamental properties and applications of Boolean algebra.
   1. Define and represent Boolean functions.
   2. Recognize various examples of Boolean algebras.
   3. Identify and define logic gates and combinatorial circuits.
   4. Apply algorithms for minimization of circuits.

MTH 261 - Analytic Geometry and Calculus III

1. Demonstrate an understanding of the concept of a vector and manipulate and represent vectors geometrically and algebraically.
   1. Perform basic calculations with vectors such as addition, subtraction, scalar multiplication, and finding the magnitude of a vector.
   2. Find the cross product and dot product of two vectors and use them in various applications.
   3. Describe some key differences between the dot product and the cross product.
   4. Find the angle between two given vectors.
   5. Use a dot product to calculate the work done by a constant force.
   6. Use a cross product to calculate torsion.
   7. Use dot products to find the projection of one vector onto another.
   8. Find the equation of a plane.
   9. Find the parametric equation of a line in space.
2. Develop an understanding of the relationships between numerical, graphical, and algebraic representations of curves and surfaces in space.
   1. Graph standard quadric surfaces and curves in space.
   2. Recognize the relationships between curves, surfaces and their equations.
   3. Graph using cylindrical and spherical coordinates.
   4. Convert among rectangular, cylindrical, and spherical coordinates.
3. Define, apply, and identify several properties of vector-valued functions.
   1. Identify differences between vector-valued functions and scalar-valued functions.
   2. Evaluate a limit of a vector-valued function.
   3. Evaluate a derivative of a vector-valued function.
   4. Use and understand the velocity and acceleration of vector-valued functions.
   5. Construct a TNB frame.
   6. Calculate and apply the curvature and the torsion of a curve in space.
4. Define, apply, calculate with, and identify properties of a multivariable real valued function.
   1. Determine the domain and range of a function.
   2. Construct level curves and level surfaces of a function
   3. Calculate the limit of functions when they exist.
   4. Use paths on a surface to show when a limit of a function does not exist at a point.
   5. Determine if a function is continuous at a point.
   6. Calculate partial derivatives of a function.
   7. Calculate the linear approximations to a function.
   8. Use partial derivatives to find absolute and local extrema and saddle points for two variable scalar functions.
   9. Use Lagrange multipliers to find extrema for constrained functions.
   10. Define, calculate and apply the gradient of a function.
   11. Use the gradient of a function to calculate directional derivatives.
5. Apply, evaluate, and understand integrals of multi-variable scalar-valued functions.
   1. Define double and triple integrals.
   2. Construct a region of integration.
   3. Represent areas and volumes with double and triple integrals.
   4. Evaluate double and triple integrals using rectangular coordinates.
   5. Calculate surface area.
   6. Evaluate surface integrals.
   7. Use cylindrical and spherical coordinates to evaluate triple integrals.
   8. Change the order or variables of integration when appropriate.
   9. Apply formulas that deal with mass, center of mass, and moments.
6. Develop an understanding of vector fields.
   1. Define a vector field.
   2. Give examples of vector fields in an abstract and physical setting.
   3. Evaluate line integrals in conservative and nonconservative fields.
   4. Explain the relationships between conservative fields, path independence, and potential functions.
   5. Calculate work in a variety of contexts.
   6. Explain and evaluate the curl and divergence of vector fields.
   7. Explain and apply Green’s Theorem.
   8. Apply Stokes’ and Gauss’ Theorems and explain their relationship to Green’s Theorem.
7. Communicate effectively about mathematics.
   1. Verbally describe solutions to problems using appropriate terminology.
   2. Provide complete written explanations of concepts using appropriate terminology.
8. Use technology appropriately to do mathematics.

MTH 263 - Introduction to Linear Algebra

1. The student will learn the fundamental properties of matrices.
   1. Add, subtract, multiply, and invert matrices on appropriate occasions and in an appropriate manner.
   2. Describe and solve systems of linear equations with matrices.
   3. Perform elementary row operations with and without elementary matrices.
   4. Define and apply symmetric and skew-symmetric matrices.
   5. Define and apply the determinant of a matrix, and the applications of determinants in a variety of contexts.
   6. Define and apply eigenvalues and eigenvectors.
   7. Recognize digonalizable matrices and transform such matrices into diagonal matrices.
   8. Use the specific properties of symmetric matrices.
   9. Perform orthogonal diagonalization on symmetric matrices.
2. The student will learn the fundamental language and processes of vector spaces and inner product spaces.
   1. Motivate and execute the definitions of vector space and inner-product space.
   2. Recognize vectors, vector spaces, inner-product spaces, and subspaces in a variety of contexts.
   3. Define and apply length and orthogonality in a variety of inner-product spaces.
   4. Define and apply linear dependence/independence and spanning.
   5. Define and apply basis, dimension, and coordinates relative to a basis.
   6. Define and apply an orthonormal basis.
   7. Define and apply the Gram-Schmidt process.
3. The student will learn about linear transformations.
   1. Motivate and execute the definition of linear transformation.
   2. Use the language of linear transformations correctly.
   3. Recognize the consequences of linear transformation on dimensions and bases of vector spaces.
   4. Identify matrices with linear transformations and to represent linear transformations with matrices.
   5. Define and apply the similarity of transformations/matrices.
   6. Employ transition matrices to effect a change of basis.

MTH 264 - Introduction to Ordinary Differential Equations

1. Develop the ability to recognize, classify, and solve different types of first-order differential equations.
   1. Identify and solve separable and linear first-order equations.
   2. Use slope fields and equilibrium solutions to understand the qualitative properties of first-order equations.
   3. Use the concept of bifurcation to understand the qualitative properties of a family of first-order equations.
   4. Apply numerical methods to generate approximations to solutions of first-order equations.
   5. Understand the conditions that guarantee the existence and uniqueness of solutions to first-order equations.
2. Solve first-order systems of differential equations and demonstrated knowledge of properties and applications.
   1. Use direction fields and equilibrium solutions to understand the qualitative properties of first-order systems.
   2. Solve decoupled and partially-decoupled systems.
   3. Apply numerical methods to generate approximations of solutions of first-order systems.
   4. Investigate the special properties of linear systems.
   5. Classify and solve first-order linear systems with constant coefficients.
   6. Use first-order linear systems to investigate the properties and solve equations arising from harmonic oscillation.
   7. Linearize nonlinear systems when appropriate.
   8. Apply appropriate quantitative, qualitative, and numerical techniques to study nonlinear systems.
3. Analyze and solve second-order differential equations and use them to various applications.
   1. . Identify homogeneous and nonhomogeneous linear differential equations.
   2. Construct particular and general solutions to homogeneous linear differential equations.
   3. Construct particular and general solutions to linear differential equations.
   4. Solve linear differential equations with constant coefficients.
   5. Use second-order linear differential equations to model damped/undamped forced/unforced oscillations.
   6. Apply power series to solve or approximate solutions of differential equations.
4. Use Laplace transforms to solve a variety of differential equations.
   1. Apply the definition and properties of the Laplace transform.
   2. Apply Laplace transforms to various fundamental functions.
   3. Apply the shifting theorems to a variety of functions and equations.
   4. Use Laplace transforms to solve a variety of initial value problems.
   5. Understand and use the Laplace transform in applications of discontinuous forcing functions.
   6. Use the convolution theorem on appropriate first- and second-order equations.
5. Use appropriate technology to investigate and solve differential equations.
   1. Generate and graph numerical solutions with a computer algebra system.
   2. Graph and recognize the relationships between forcing functions and solutions to harmonic oscillation.
   3. Recognize initial conditions in the graphs of solutions to first-order equations and systems.
   4. Generate and graph slope fields and direction fields for first-order equations and systems.
   5. Recognize and verify the correspondence between slope/direction fields and solutions of equations or systems.
   6. Graph multiple representations of solutions to first-order systems.
6. Communicate effectively about differential equations and their applications.
   1. Verbally describe solutions to problems using appropriate terminology.
   2. Provide complete written solutions to problems using appropriate terminology.
   3. Use appropriate vocabulary.

MTH 290-299 - Special Projects in Mathematics

MT 110 - Applied Geometry and Trigonometry

1. Solve problems related to plane figures (e.g.angles, parallel lines, or triangles).
   1. Define basic terminology of angles (acute, right, obtuse, straight, complementary and supplementary angles).
   2. Measure angles with a protractor.
   3. Define basic terminology of angles formed by parallel lines cut by a transversal (corresponding alternate interior and exterior angles.)
   4. Define the characteristics of triangles and their properties (altitude, medians, vertex, and sides).
   5. Express an understanding of and identify the characteristics of congruent and similar triangles.
   6. Relate to the work place operations.
2. Solve problems related to polygons (e.g. triangles, squares, rhombus, rectangles, parallelograms, trapezoids or multi-sided polygons).
   1. Use the proper formula for determining area of polygons (square measure).
   2. Determine the measure of interior angles by using diagonals.
   3. Relate to the work place operations.
3. Identify the characteristics of special triangles (e.g. isosceles, equilaterial, right, or 30-60-90 triangles).
   1. Know and apply the Pythagorean Formula in solving right triangle problems.
   2. Solve problems involving similar triangles (tapers).
4. Identify the characteristics of a circle (e.g. chords, central angles, inscribed, segments and sectors).
   1. Demonstrate the relationships between the diameter, radius, and circumference of a circle.
   2. Solve problems involving area of circles, sectors, and segments.
   3. Determine arc lengths by using proportions.
5. Identify the characteristics of an eclipse (e.g. center, major and minor axes).
   1. Solve problems involving area and circumference of an eclipse.
   2. Express uses of eclipses in everyday situations (orbits, racetracks, buildings, and cutting pipes).
6. Identify the characteristics of geometric solids (e.g. prisms, cylinders, pyramids, cones, frustrums, spheres, torus, prisimatoids).
   1. Use proper formulas to determine surface area of all geometric solids.
   2. Use proper formulas to determine volume of all geometric solids.
   3. Figure a cost factor with respect to volume and materials (surface area) of various geometric solids (cylinders, cones, spheres, cubicle containers).
   4. Relate to the work place operations.
7. Apply the six trigonometric ratios.
   1. Express the relationship between the sides of a right triangle and the six trigonometric ratios.
   2. Evaluate the six trigonometric ratios and their inverses with a calculator.
   3. Apply the six trigonometric ratios to right triangle problems.
   4. Relate to the work place operations.
8. Solve oblique triangles.
   1. Solve oblique triangles using the Law of Sines.
   2. Solve oblique triangles using the Law of Cosines.
   3. Relate to the work place operations.

MT 151 - Power Transmission

1. Understand the principal functions of all the various mechanical power transmission components used on industrial machinery. Components may be individual parts or assembled units.
   1. Understand the principles of power transmission systems; recognize, remove and refit taper-lock bushes, keyed shafts, belts, chains & couplings; install & align shafts and tension drive train components.
   2. Analyze the components or failures of the power transmission units or parts.
   3. Determine the causes related to the failure of proper machine performance.
   4. Visualize the procedures required to repair or replace assemblies or components that have failed.
   5. Recognize the “wear” patterns causing the machine failures.
   6. Assess failure mechanisms.
2. Use “tools of the trade” to remove all parts or assemblies associated with a machine failure.
   1. Use common hand tools to assemble mechanical components.
   2. Be familiar with the source of various machine failures and the parts needed to repair the failures.
   3. Measure and calculate sizes for replacement of parts using tables of dimensions found in manufactured parts catalogs or the textbook used in class.
   4. Be able to communicate with others involved in failures other than “normal wear” (i.e. design overload, shock or any abnormal conditions).
   5. Follow-up with periodic adjustments, vibration samples, lubrication schedules, etc. upon completion of repairs.
3. Understand the principal operations of mechanical power transmissions.
   1. Evaluate the general characteristics and terms of chain and belt drives.
   2. Evaluate the general characteristics and terms of clutches and brakes.
   3. Explain proper machinery lubrication procedures.
   4. Explain proper maintenance procedures for bearings.
   5. Align coupling using the following methods: straight edge with feeler gauge and dial indicator.
   6. Interpret gear terms and mathematical relationships and compute spur gear ratios.
   7. Evaluate the general characteristics and terms of shaft couplings.
   8. Explain the operation of brakes and clutches.
   9. Use various methods to perform shaft alignment.
   10. Evaluate the general characteristics and terms of closed gear and variable speed drives.
   11. Evaluate the general characteristics and terms of compound gear trains.
   12. Evaluate the general characteristics and terms of worm and wheel gear trains.
   13. Evaluate the general characteristics and terms of helical and bevel gears.
   14. Explain the operation of planetary gear system.
   15. Evaluate the general characteristics and terms of lever classes and compound levers.
4. Demonstrate proper safety techniques and proper use of personal protective equipment.
   1. Demonstrate safety rules, regulations, test procedures, installation, removal, and operation of mechanical drive equipment.
5. Perform appropriate mechanical drive calculations.
   1. Convert between metric and U.S. standard.
   2. Perform calculations related to gears and gearboxes, chain drives, and belt drives.
   3. Calculate rpm, gear ratios, and torques.
6. Identify types and specifications of fasteners and lubricants.
   1. Identify types and specifications of fasteners used in wind turbines.
   2. Demonstrate use of torque wrenches.
   3. List effects of torque, lubricants, hydraulic bolt stretchers, tensioners, and high torque on fasteners.
   4. Identify type, application, and compatibility of lubricants.
   5. List effects of lubricants and tensioners on fasteners.

MT 161 - Industrial Rigging and Safety

1. Understand what is required for safe operations in rigging procedures.
   1. Practice and demonstrate proper rigging hand signals.
   2. Identify unsafe loads, equipment, and work practices.
   3. Inspect rigging equipment and determine proper solutions.
   4. Tie proper knots in accordance with load applications and proper safety procedures.
   5. Store rigging equipment in a safe environment.
2. Discuss proper use of rigging tools in industrial applications.
   1. Identify the tools used in rigging and explain the purpose of each.
   2. Give examples of three methods of calculating the weight of a load.
   3. Explain center of gravity and its importance in rigging a load.
   4. Describe four common sling arrangements and the relation between sling angle and horizontal force.
   5. Name five types of hooks frequently used in rigging and explain the purpose of each.
   6. Discuss proper hook use and cite four reasons for removing a hook from service.
3. Understand components of wire rope construction, classification, strength, and signs of damage.
   1. Identify the component parts of wire rope and describe its construction and classification.
   2. Identify and discuss the factors that affect wire rope strength.
   3. Describe the basic single-leg and multiple-leg slings and the calculation of their allowable loads.
   4. Enumerate the signs of damage that would probably cause a wire rope to be removed from service.
4. Understand welded-link chain, chain grades and strength, chain slings, inspecting slings, metal mesh slings, sling materials, and proper applications.
   1. Identify the different grades of chain and name some of their applications.
   2. Define the terms working load limit, proof test, and minimum breaking force.
   3. List and discuss four factors that affect the strength of chain slings.
   4. Describe three types of damage you might see in a daily inspection of chain slings that would lead you to set the sling aside for more thorough examination.
   5. Describe the two standard types of end fittings for metal mesh slings and the hitches for which each can be used.
   6. Name several advantages of, and applications for, metal mesh slings.
   7. List the visible signs of damage that would cause you to recommend a sling’s removal from service.
5. Understand ropes, fiber and synthetic fiber slings, and proper application of materials.
   1. Identify the grades of manila rope that can be used for overhead lifting.
   2. Name the three commonly used synthetic-fiber ropes and list three of their advantages over manila.
   3. Discuss the factors that affect the strength of fiber rope.
   4. Name the signs of wear or damage that would warrant setting a fiber-rope sling aside for more detailed inspection.
   5. Describe an encased polyester fiber sling.
   6. Explain the construction of synthetic-web slings and name four of the basic types.
   7. List examples of visible damage that should cause a synthetic-web sling to be removed from service.
6. Understand concepts of overhead manual chain, power, and wire-rope hoists, side pulls, overload limit devices, underhung and top-running cranes, jib cranes, and inspection.
   1. Describe the characteristics of the various kinds of overhead hoists.
   2. Explain the differences between single and double reeving.
   3. Explain the proper function and operation of an upper limit switch and an overload limit device.
   4. Describe and contrast the construction of top-running and under-hung cranes.
   5. Identify the three basic types of jib cranes.
   6. Describe what the rigger’s daily visual inspection should include.
   7. List examples of conditions that should warrant removal of wire rope or hoist load chain from service.
7. Understand safe practices as they apply to hoist and crane operation, special heavy lifts, and all tools of rigging.
   1. Enumerate the general operating practices that apply to all tools of rigging.
   2. Explain the 11 operating practices that apply to slings.
   3. Discuss nine operating practices that should be observed when using a hoist or crane.
   4. Detail the special circumstances under which a hoist or crane may be used to pull a load or lift a load heavier than the equipment’s rated capacity.
   5. Describe three methods of turning a load.
   6. Discuss the eight questions that a rigger must answer in the thought process that should precede any lift.
8. Explain types of scaffolds, lift platforms, ladders, guy lines, lift belts and how to safely use them.
   1. Explain the construction of pole and suspension scaffolds and lift platforms, and the safety measures that apply to them.
   2. Name several scaffolding accessories and explain their use.
   3. Discuss recommended usage and inspection of the three common types of ladders.

MT 215 - Introduction to Composite Materials

1. Identify the materials and construction methods of composite structures.
   1. Identify and explain the basic principles of the design, construction, maintenance, and repair of composite structures.
   2. Identify the resin materials that are common to the composite industry.
   3. Identify the reinforcement fabrics that are common to the composite industry.
   4. Describe the core materials used in sandwich laminates.
   5. Explain the advantages and disadvantages and properties of the four classes of composites.
   6. Describe finishing materials and processes including gel coats, UV protection, etc.
2. Demonstrate the proper techniques to repair composite structures.
   1. Demonstrate the skills required to return a composite structure back to service life.
   2. Compare different repair methods.
   3. Inspect, select, and demonstrate proper composite repair techniques.
   4. Identify the various composite structures manufacturing methods as they relate to various industries including wind energy, marine, aerospace, automotive, etc.
3. Identify composite failures and modes of failure.
   1. Explain mechanical behavior, fatigue behavior, and construction of composite structures.
   2. Identify damage that can affect structural integrity.
   3. Explain composites failures and identify techniques for failure identification which may include noise problems and visual identification.
   4. Explain the industry standards that impact composite performances, operation, and maintenance characteristics.
   5. Explain nondestructive and destructive composite evaluation techniques.
4. Demonstrate thorough understanding of knowledge related to safety and personal protection when performing maintenance actions on composite structures.
   1. Demonstrate knowledge and understanding to read MSDS for required safety information associated with composites materials used in this course.
   2. Demonstrate proper safety techniques.
   3. Demonstrate proper use of personal protection equipment.

MT 220 - Hydraulics and Pneumatics I

Credits: 3
Instructional Contact Hours: 4

 

Prerequisite(s): MATH LEVEL 3
Corequisite(s): None
Lecture Hours: 30 Lab Hours: 30
Meets MTA Requirement: None
Pass/NoCredit: No

Outcomes and Objectives  

1. Solve fluid power problems using basic algebra
   1.  Calculate pressure given force and cross-sectional area, or diameter.
   2. Calculate pressure given the head of the liquid above the point desired.
   3. Calculate area of a circle given its diameter.
   4. Calculate velocity of a cylinder given its diameter and flow rate.
   5. Calculate torque on the shaft of a hydraulic motor given the pressure drop and volumetric displacement.
   6. Calculate rpm of a hydraulic motor given its volumetric displacement and flow rate.
   7. Calculate horsepower given pressure and flow rate.
   8. Calculate output force and motion of a hydraulic jack, given input conditions.
   9. Calculate efficiency, given input and output horsepower.
2. Demonstrate advanced principles of fluid power
   1. Describe flow velocity and pressure conditions in a venturi tube.
   2. Calculate flow velocity at an orifice in a tank given the head of liquid above it.
   3. Describe pressure drop in a hydraulic circuit.
3. Demonstrate the importance of the fluid in a fluid power circuit
   1. List at least 5 functions of the fluid.
   2. Differentiate between compressibility and incompressibility of the fluid and how that affects performance.
   3. Differentiate between viscosity and viscosity index of an oil.
   4. Explain the symptoms of a hydraulic circuit with oil viscosity too high.
   5. Explain the symptoms of a hydraulic circuit with oil viscosity too low.
   6. List the factors that enhance oxidation, and explain its effect on performance.
   7. Differentiate between the several fire-resistant fluids.
4. Explain the operation of hydraulic pumps    
   1. Explain how centrifugal pumps work.
   2. Explain how gear pumps work.
   3. Explain how vane pumps work.
   4. Explain how piston pumps work.
   5. Explain how screw and lobe pumps work.
   6. Compare the pros and cons of each pump type.
   7. Identify at least 2 industrial/commercial applications for each pump type.
5. Explain the operation of fluid power actuators
   1. Explain how a single-acting cylinder works.
   2. Explain how a double-acting cylinder works.
   3. Explain how a gear motor works.
   4. Explain how a vane motor works.
   5. Explain how a piston motor works.
   6. Explain how a gerotor motor works.
   7. Explain how a vane rotary actuator works.
   8. Explain how a rack/pinion rotary actuator works.
   9. Identify at least 2 industrial/commercial applications for each actuator type.
6. Explain the operation of control valves
   1. Explain the operation and differentiate between the 5 pressure control valves:
      1. relief valve
      2. unloading valve
      3. sequence valve
      4. counterbalance valve
      5. pressure reducing valve
   2. Identify where in a circuit each pressure control valve is normally placed.  May be used in conjunction with the automation equipment.
   3. Explain the operation and differentiate between the 4 directional control
      1. one way
      2. two way
      3. three way
      4. four way
   4. Identify at least 5 different operators for directional control valves.
   5. Compare 4-port and 5-port operation in directional control valves.
   6. Compare sliding spool, shear seal, and poppet designs for directional control valves.
   7. Explain the operations of simple flow control valves and pressure-compensated flow control valves.
   8. Differentiate between a restrictor-inlet flow control and a bypass type.
   9. Compare the 3 types of flow control circuits.
   10. Explain the operation of a flapper-nozzle electrohydraulic servo valve.
   11. Compare the operation and applications of electrohydraulic servo valves with proportional valves.
   12. Explain the operation of a cartridge valve.
7. Explain the operation and application of several components typically found in a hydraulic circuit.
   1. Explain the operation and use of an accumulator.
   2. Explain the operation and use of an intensifier.
   3. Explain the operation and use of a filter or strainer.
   4. Explain the operation and use of a pressure gage and flow meter.
   5. Explain the operation and use of a reservoir.
   6. Explain the operation and use of a heat exchanger.
8. Explain the sequence of operations of a fluid power circuit.
   1. Identify all graphic symbols in a fluid power circuit drawing.
   2. Explain the sequence of operations, with different positions of the directional control valve, of the following types of circuits:
      1. linear
      2. regenerative
      3. pressure reducing
      4. sequence
      5. hydrostatic transmission
      6. meter-in and meter-out
      7. accumulator
      8. intensifier
9. Design a 3-cylinder/one-motor hydraulic sequence circuit commonly found in industrial applications.
   1. Size all conductors in the circuit.
   2. Recommend settings for all flow control valves.
   3. Size all cylinders and the motor for proper force/torque and speed/rpm outputs.
   4. Select proper directional control valves for the sequence.
   5. Calculate the cycle time for each actuator in the sequence.
   6. Recommend pump type and size.
   7. Size the reservoir.

MT 221W - Introduction to Engineering Materials

1. List the materials related criteria of engineering design.
   1. List the decisions that need to be addressed when selecting materials for design.
   2. Give the names of the 5 groups of engineering materials.
   3. List the 4 levels of structure for materials.
   4. Distinguish between mechanical, chemical and physical properties.
2. Describe the mechanical tests typical used to characterize materials.
   1. Explain what is measured by a hardness test.
   2. Explain which properties of a material are measured by a tensile test machine.
   3. Distinguish between elastic and plastic behavior of materials.
   4. Explain what is measured by an impact test.
   5. Describe what material property is measured by a fatigue test.
   6. Explain the conducting of a creep test and describe the material properties measured.
3. Describe the characteristics of atomic arrangement for materials.
   1. List the atomic structure for all materials.
   2. Describe the mechanisms of atomic bonding in various materials.
   3. List the characteristic properties of metals, polymers, ceramics and composites.
   4. Distinguish between amorphous and crystalline materials.
   5. List the common unit cells for materials.
   6. Give the relationship between atomic packing factor and coordination number.
   7. Describe the interstitial space of lattice systems.
   8. Distinguish between allotropic and polymorph materials.
   9. Explain isotropic behavior of materials.
4. Characterize the imperfections of atomic arrangements in materials.
   1. List the reasons for the intentional control of imperfections of atomic arrangement of materials.
   2. Name the various kinds of imperfections found in the atomic arrangement of materials.
   3. Explain “critical resolved shear stress” and its importance in accounting for the plastic deformation of materials.
   4. Use the concept of atomic imperfections to describe point defects and grain boundary crystalline defects.
   5. Use the concept of atomic diffusion to name and describe industrial processes where materials properties are determined.
   6. Name the two mechanisms of diffusion and two types of diffusion.
   7. Use microscopes to view various grain structures and imperfections.
5. Describe what the polymeric materials are, and the general properties for plastics.
   1. Specify advantages and disadvantages of plastics when compared with other materials.
   2. Define mer, polymer, and degree of polymerization.
   3. Cite the differences in behavior for thermosets and thermoplastic materials.
   4. Name the three types of stereoisomers.
   5. Distinguish between homopolymer and copolymer, and list the four types of copolymers.
   6. Explain why plastics have low strength compared to engineering alloys.
6. Explain the mechanism of solid solution alloys.
   1. List the possible levels of solubility for any two crystalline materials.
   2. Read diagrams of phase equilibrium to determine freeze and melt temperatures and phase compositions.
   3. Calculate the freeze range for specific alloy compositions.
   4. Calculate phase compositions and fractional amounts for alloys with partial solubility.
7. Explain the mechanism of solid solution and dispersion strengthening by solidification.
   1. Distinguish between the effects on mechanical properties of the size, shape, amount, and  distribution of precipitate particles.
   2. Distinguish between solid solutions, compounds, and pure metals.
   3. Distinguish between an ordered and normal (disordered) crystal lattice.
   4. Describe the eutectic reaction.
   5. Distinguish between the precipitate and matrix micro constituents.
8. Explain dispersion strengthening by precipitation hardening and alloying.
   1. List and explain the steps of precipitation hardening.
   2. Give the conditions for an alloy in order for age hardening to be effective.
   3. Distinguish between eutectic and eutectoid reactions.
   4. Sketch the iron-iron carbide diagram.
   5. List all the names and nominal properties of the phases within the iron-iron carbide equilibrium alloy system.
9. Explain dispersion strengthening by phase transformation, alloying, and heat treatment.
   1. Read isothermal transformation diagrams to predict structures and mechanical properties in a specific alloy.
   2. Explain the purpose of tempering.
   3. Distinguish between hardness and hardenability of steels.
   4. Explain: carburizing, nitriding, induction hardening, and carbonitriding.
10. Describe a ceramic material, and cite typical mechanical, physical, thermal, and electrical properties of ceramics.
    1. Distinguish between traditional ceramics and engineering ceramics.
    2. Explain why ceramics are used in capacitors.
    3. Cite some applications of ceramics as refractory materials.
    4. Explain why ceramics have both high compressive strength and low tensile strength.
    5. Briefly describe the three types of oxides used to fabricate glass.
11. Describe a composite material based on its basic constituents.
    1. Compare mechanical properties of composites with metallic materials and plastics.
    2. Cite the three most common used fibers for reinforcement of composite materials.
12. Characterize the forms of material degradation, metallic corrosion and corrosive environments.
    1. List the forms of corrosion cells.
    2. Explain each of the corrosion mechanisms:
       1. Liquid metal
       2. Selective leaching
       3. Chemical attack
       4. Electrochemical: composition cell, stress cell, and concentration cell
       5. Graphitic
    3. Explain how the galvanic series in seawater may be used to predict and minimize corrosion.
    4. Explain how inhibitors, cathodic protection, and passivation are useful to minimize corrosion.
13. Characterize the forms, mechanisms, and environments of material failure.
    1. Name and describe the common fracture mechanisms.
    2. Describe the evidence to indicate a ductile failure.
    3. Describe the evidence to indicate a brittle failure.
    4. What is the effect of temperature and rate of load application on failure.
    5. List the conditions which are frequently implicated as causes for the start of a fatigue fracture.
    6. List service conditions, which can contribute to material failure.
14. Demonstrate the ability to think critically
    1. Integrate the concepts of material systems with their properties and applications.
    2. Solve materials problems.
    3. Draw logical conclusions from the results of research and lab exercises.
    4. Make predictions based on evidence.
    5. Identify trends and patterns.
15. Communicate effectively about materials.
    1. Read various forms of written communication to gather information about materials.
    2. Organize and integrate materials information into patterns and hierarchies.
    3. Analyze various forms of communication.
    4. Write effectively for a specific audience and purpose.
    5. Use writing tasks to promote the learning of materials and material systems.
    6. Demonstrate the learning of materials and material systems through writing.

MT 222 - Hydraulics and Pneumatics II

1. Discuss objectives learned in Hydraulics/Pneumatics I.
   1. Remember the schematic symbols used in Hydraulic or Pneumatic drawings.
   2. Find and locate these symbols in both textbooks.
   3. Identify and locate these symbols on drawings.
   4. Locate components in circuits and identify where these components should be located within a circuit.
   5. Use a drawing to state that the specific circuit does “……etc……”.
   6. State the basic laws of Hydraulics and Pneumatics such as “Pascal’s Law” and the “Pressure-Force-Area triangle”.
2. Explain basic components of a circuit.
   1. Cartridge valves:
      1. Identify the differences between “screw-in” type and “slip-in” type.
      2. Understand “screw-in” type always needs a pilot, “slip-in” type does not.
      3. List advantages and disadvantages of each.
      4. Identify examples of each of their respective uses. Examples: pressure control, directional control, and flow control.
   2. Proportioning valves:
      1. Understand they may be used in conjunction with or replace regular directional, flow, and pressure control valves.
      2. Understand they are strictly an electric operation.
      3. Understand they are very precise in their movements.
      4. Understand dirty factory environments can cause friction between the moving parts and disrupt precise movements. To counteract this, we superimpose a low amplitude AC signal referred to as “Dither”.
   3. Servo valves:
      1. Understand they are essentially infinite positioning directional valves.
      2. Understand they can be either electrical or mechanical operated.
      3. Understand they can be either single stage or “pilot and slave”.
      4. Understand they are much closer to the desired optimum performance than proportioning valves.
3. Build circuits on trainers from drawings.
   1. Hydrostatic transmissions.
   2. Regenerative circuits.
   3. Intensifier circuits.
   4. Accumulator circuits.
4. Recognize that normal conditions in any system will cause pressure drops.
   1. Apply the materials presented in class, working on the trainers, and using a chart in the Pease textbook (page 185) to determine potential pressure drops in a system using the following information:
      1. Piping diameter.
      2. Distance of travel of fluid.
      3. Number of turns and bends in the lines.
      4. Velocity of the fluid (usually in feet-per-second).
      5. Displacement of fluid (example: gallons-per-minute).
5. Recognize the hydraulic circuitry in an automotive automatic transmission.
   1. Explain how a torque converter works.
   2. Locate the hydraulic pump, explain how it is driven, and state what type of pump it is (usually a gear type).
   3. Locate the hydraulically operated brakes and clutches.
   4. Locate the planetary gear systems operated by the hydraulic brakes and clutches and explain how they are operated by the hydraulic brakes and clutches and that each gear speed of the transmission has its own planetary gear set.
   5. Understand directional valves route hydraulic pressure to the respective brake and clutch of the specific planetary gear set.
   6. Recognize that the shifting of the directional valves is controlled by vacuum, tachometer, and electronics, with electronics more so today.
6. Work with and maintain fluid power equipment in a safe manner.
   1. Recognize the proper way to lockout or disable fluid power equipment in order to work on it in a safe manner.
   2. Recognize the sequence of operations of fluid power machinery in order to determine what should or should not happen in order for it to be operated in a safe manner.
   3. Describe how to locate the proper replacement parts to be used to properly perform a repair job.
   4. Use the proper tools when performing maintenance or repairs on fluid power equipment.
7. Use fluid power with vacuum and pneumatics as the median.
   1. Compare vacuum with pneumatics.
   2. State some uses of a vacuum: a) lifting, b) molding, c) suction
   3. Explain that a vacuum is the difference

MT 250 - Statics and Strength of Materials

1. Analyze forces used in mechanical systems.
   1. Demonstrate the concepts of vectors and be able to calculate resultants of collinear, concurrent, and coplanar forces.
   2. Demonstrate the concepts of and calculate the summation of moments and forces, and free body diagrams to analyze the loading of machine components and structures.
2. Calculate the shape functions of mechanical components.
   1. Demonstrate and apply the concepts of and calculate centroid to analyze and design machine components and structures.
   2. Demonstrate and apply the concepts of and calculate moment of inertia, to analyze and design machine components and structures.
   3. Demonstrate and apply the concepts of and calculate section modulus to analyze and design machine components and structures.
3. Determine the geometry and material of mechanical components to withstand an applied load using stress or deflection design systems.
   1. Demonstrate the concepts of axial stress and strain to the design of machine members and structures. Use the tensile tst machine to compare actual stress and strain to theoretical values.
   2. Demonstrate the concepts of design factors, torsion, shear and bending moment diagrams, and deflection to the analysis and selection of uniform section beams, machine members, shafting, and structures.
   3. Demonstrate the concepts of axially loaded, uniform section, column formula design methods to the analysis and selection of columns for machine components and structures, including Euler, J. B. Johnson and AISC methods.
   4. Practice problems may include robotics, automation, and machinery.

MT 256 - Machine Design

1. Explain the steps and features of the design process.
   1. Describe the attributes of a good designer.
   2. Differentiate between the steps in the design process.
   3. Apply a class brainstorm session to a product design.
   4. List the tools used by a designer
2. Review engineering properties of materials as they apply to design.
   1. Discuss load-stress relations of products and machine elements under static loading:
      1. Tension/compression
      2. Torsion
      3. Bending
   2. Discuss load-deflection relations of products and machine elements under static loading:
      1. Uniaxial deformation / Poissons Effect
      2. Thermal expansion
      3. Angle of twist
      4. Beam deflection
   3. Demonstrations will include the use of tensile test machine, torsion machine, and bending testing.
3. Determine the factor of safety given the loading on a machine element of all dimensions and materials.
4. Use the appropriate mathematical formulas and design factors to produce an acceptable paper design given the loading, either static or time-varying, on a machine element.
   1. Specify dimensions for a brittle element.
   2. Specify dimensions and material for a ductile link in tension/compression/bending
   3. Specify dimensions and material for a ductile pin in shear.
   4. Specify dimensions and material for a shaft in a power transmission with shoulders, keyways, and bearing locations.
   5. Specify dimensions and material of a screw fastener, both diameter and thread engagement.
   6. Specify dimensions and material of the key in a keyed coupling, or the bolts and flange of a flanged coupling.
   7. Specify the wire diameter, OD, pitch, and length of a helical coil compression spring using appropriate software, and check buckling stability and natural frequency when appropriate.
5. Use the appropriate mathematical formulas, design factors, and charts to produce an acceptable paper design of a transmission given the torque-speed requirements between two shafts of a transmission.
   1. Specify the belt cross-section, length, sheave diameters, and center-to-center distance for a belt drive.
   2. Specify the chain size, length, sprocket sizes, center-to center distance and lubrication for a roller chain drive.
   3. Specify number of teeth, diametral pitch, pitch diameter, and other dimensions for a gear drive.
   4. Create a layout drawing of a gear transmission using CAD software.
6. Demonstrate General Education Concepts.
   1. Demonstrate Critical Thinking in Design.
      1. Obtain 80% accuracy in calculations, based on testing.
      2. Obtain 75% in problem setup such as Free Body Diagram, theory application, and assumptions, based on testing.
      3. Obtain 75% in inferential reasoning, whereby experience in a related problem solution carries over to the new problem, based on testing.
   2. Demonstrate skill to work on your own.
      1. Demonstrate reading skills and problem identification from the text.
      2. Demonstrate resourcefulness using the text, Internet, co-workers, other books or magazines, fellow students.
      3. Demonstrate self-motivation by surviving the online course, through weekly homework assignments.

MT 290-299 - Special Projects in Mechanical Technology

MUS 100 - Music Elements I

1. Identify musical elements.
   1. Listen and identify basic music elements.
   2. Describe and discuss various basic music elements.
2. Demonstrate learned musical concepts effectively.
   1. Show comprehension by demonstrating various basic music concepts such as rhythm, meter, form, melody, and harmony effectively.
   2. Provide examples of various music elements through personal demonstration and/or recordings.

MUS 103 - Music Composition

1. Manipulate pitch and rhythm as they relate to the construction of melodic content.
   1. Construct basic melodic motives utilizing varying pitch degrees (scaler and intervallic).
   2. Construct intermediate melodic sentences by combining motivic ideas.
2. Read, write, and perform basic melodic ideas.
   1. Show comprehension by demonstrating various basic melodies in their construction and content.
   2. Compare and contrast melodic ideas with respect to meters, modes, and melodic contour.
3. Develop a comprehensive analysis of functional melody and harmony.
   1. Explore various compositions and provide a brief harmonic and melodic analysis.
   2. Employ analytical techniques to create a musical composition.

MUS 110 - Music Elements II

1. Identify musical elements.
   1. Listen and identify basic music elements.
   2. Describe and discuss various basic music elements.
2. Demonstrate learned musical concepts effectively.
   1. Show comprehension by demonstrating various basic music concepts such as rhythm, meter, form, melody and harmony effectively.
   2. Provide examples of various music elements through personal demonstration and/or recordings.
3. Develop a session for communicating musical elements.
   1. Explore various ways of demonstrating and communicating music elements.
   2. Prepare a short lesson explaining one of the musical elements.

MUS 111 - Music Appreciation I

1. Demonstrate an understanding of the elements of listening to music analytically.
   1. Define music/purposes of music.
   2. Define Melody, Harmony, Form, Color, and Rhythm.
   3. Characterize 3 major style sources (Folk, Art, Pop).
   4. Understand fundamental principles of acoustics:
      1. Four properties of sound (pitch, intensity, timbre, duration);
      2. How the harmonic series affects harmony and color;
      3. Source, Medium, and receiver.
2. Demonstrate an awareness of the elements of music as applied to the composer.
   1. Understand how the composer works.
   2. Understand the Inspired, the Struggler, and the Craftsman approaches.
   3. Compare approaches among major composers.
   4. Compare among composer, arranger, and improviser.
   5. Understand major forms composers use: song, part forms, contrapuntal forms, developmental forms, variations, and multi-movement forms.
   6. Understand the instruments and mediums of musical expression.
3. Demonstrate an awareness of elements of music as applied to the performer.
   1. Understand how the conductor works.
   2. Develop talent and self-discipline.
   3. Understand dramatic effects of music.
   4. Understand how the performance affects listeners.
4. Demonstrate an awareness of the elements of music as applied to the listener.
   1. Differentiate between live and recorded music.
   2. Understand levels of listening; passive, sensory, emotional, perceptive, active.
   3. Understand music as a language.
   4. Identify major time periods of Western music.
   5. Identify recorded and live examples of music.

MUS 112 - Music Appreciation II

1. Demonstrate an understanding of the creative principles of music.
   1. Review the elements of music (Melody, Harmony, Form, Color, and Rhythm)
   2. Describe and define creativity
   3. Understand:
      1. Principle of 3 tenses of music
      2. Principle of balance in creativity
      3. Principles of process in the arts
      4. Principles of mood
      5. Principle of focus of musical ideas
      6. Principle of the many purposes of music
      7. Principle of humor in music
      8. Principle of “Art for the Heart”
      9. Principles of creative listening
      10. Principles of hearing and singing mechanisms
2. Identify the major composers and stylistic features of Western music.
   1. Identify textures, and cultural background of:
      1. The Middle Ages
      2. The Renaissance
      3. The Baroque Period
      4. The Viennese Classical Period
      5. The Romantic Period
      6. The Twentieth Century
   2. Know the major composers from each of the above periods
   3. Analyze, outline, and discuss major compositions for their design and their social impacts.

MUS 118 - Jazz History: Origins to the Present

1. Identify different styles of jazz and the era they came from.
   1. Identify different song structures and instrumentations through an understanding of the origins of Jazz including New Orleans, African and non-African influences.
   2. Investigate Caribbean brass bands, New Orleans brass marching bands as well as African music.
   3. Analyze ensemble playing, collected improvising, the birth of Dixieland Jazz, the role of Jazz on society, and development of swing.
   4. Review the impact of records, popular music of the time, big bands, origins of Be-bop, development of small bands, and the radical departure of Be-bop.
   5. Identify some of the important figures of Jazz and their contributions to the Jazz movement. These would include King Oliver, Louis Armstrong, Jelly Roll Morton, Sidney Bechet, Duke Ellington, Benny Goodman, Count Basie, Dizzy Gillespie, Miles Davis, Sun Ra and Charles Mingus.
   6. Develop a respect and appreciation for the Jazz movement from its origins through the Swing era, Be-Bop, Hard bop and Cool Jazz, the Free Jazz Avant-Garde, and Fusion Jazz.

MUS 119W - The History of Rock and Roll: From Its Origins to 1980

1. Identify rock music from different decades and regions, and the relationship of the musical and cultural forces that shaped it.
   1. Understand fundamental approaches and influences used in the development of rock music, and be able to identify song structures and instrumentation.
   2. Analyze ensemble playing and musical influences from different styles and recognize the similarities and differences.
   3. Review the cultural and political influences and the effect on the development of rock music.
2. Research, access, and apply knowledge gained from this course.
   1. Access and apply readings from the text, Internet and magazine articles to the listening of the music in the form of written papers and classroom discussions.
   2. Analyze the music and develop an appreciation and respect for innovators of the music and their musical influences.
   3. Research background information on different artists and relevant cultural influences that will help put the music into a historical context.
3. Demonstrate the ability to listen effectively by reading and responding through writing and analysis of the music.
   1. Compose written critiques on each musical section, which include a discussion of song context, instrumentation and cultural backdrop.
   2. Identify some of the important individuals and groups, and their contributions to rock and roll. Some of the primary figures will include Bill Haley, Elvis Presley, Beatles, Rolling Stones, Bob Dylan, Byrds, Pink Floyd and Can.
   3. Develop an understanding and appreciation of the differences between live and recorded music.
   4. Speak, write and formulate informed conclusions on musical pieces based on in class listening, discussion and evaluation.
   5. Compare and contrast the musical forms of different eras and regions.
4. Tie the history and the evolution of rock and roll to the technological advancements in the music industry.
   1. Review the influences that media and technology has brought to the different phases of development of rock music.
   2. Analyze ensemble playing and the impact of amplification of the instruments to the music’s growth and its popularity.
   3. Review musical developments that have been the result of the development of radio, television and recording studio production.
   4. Discuss the concept of music as a carrier of social messages.

MUS 120W - World Music: Survey

1. Identify the music of different cultures of the world and the countries or regions of its origin.
   1. Understand fundamental approaches and theories used by different cultures in their music, and identify the different song structures and instrumentation.
   2. Analyze ensemble playing and cross-cultural musical influences; and recognize the similarities and differences.
   3. Review the influences that language has on the basic rhythmic structure of a culture’s traditional music.
2. Research, access, and apply knowledge gained in this course.
   1. Apply knowledge gained through reading the text to the listening of music, in the form of written papers, and class discussion.
   2. Research information that will help associate the music to culture of its origin and bring into context.
   3. Develop an appreciation and respect for the histories and traditions of the featured cultures through music by analyzing and comparing these to Western and European music forms.
3. Listen effectively, read and respond through written and oral critique of the music.
   1. Compose written critiques on each type of music that ties an artist to a cultural form and time frame.
   2. Identify some of the important musical figures of each culture and identify their contributions to the music of their respective cultures. These will include some of the following artists: Olatunji, Fela Kuti, Hamza El Din, Ravi Shankar, Ali Akbar Kahn, Hozan Yamahoto, Toru Takemitsu, Mercedes Sosa, and Carlos Nakai.
   3. Speak, write and formulate informal conclusions of musical pieces based on listening and in class discussion.
   4. Compare and contrast specific tunes from different cultures in the context of musical forms.
4. Explore the concept of music as a universal language and how the media uses that language.
   1. Compare and contrast specific tunes from different cultures.
   2. Review the impact that recording technology has had on world music.
   3. Form knowledge of music as a vital part of every culture and its specific cultural uses.
   4. Explore the concept of sound as a form of communication and how technology uses sound to convey meaning.
5. Participate through discussion, preparation and involvement in the classroom.
   1. Develop an interest in current events, local musical concepts and lectures, and Internet information.
   2. Demonstrate effort, grasp and quality of understanding.
   3. Demonstrate commitment by completing the assigned work on time.

MUS 126 - Music Theory I

1. Identify basic musical patterns.
   1. Analyze tonal melodies.
   2. Identify tonal harmonies.
   3. Understand basic formal structures of music.
   4. Identify musical intervals.
   5. Identify tonal scales and triads.
2. Compose examples of music using basic musical elements.
   1. Compose melodies using appropriate intervals.
   2. Compose tonal harmonies.
   3. Compose basic harmonic progressions with voice leading.
3. Analyze basic written musical scores.
   1. Provide harmonic analysis for a basic tonal composition.
   2. Identify formal structural elements of a composition.

MUS 127 - Music Theory II

1. Identify advanced musical patterns.
   1. Analyze tonal melodies.
   2. Identify tonal harmonies.
   3. Understand advanced formal structures of music.
   4. Identify musical intervals.
   5. Identify tonal scales and triads.
2. Compose music using advanced musical elements.
   1. Compose melodies using appropriate intervals.
   2. Compose tonal harmonies.
   3. Compose advanced harmonic progressions with voice leading.
3. Analyze advanced written musical scores.
   1. Provide harmonic analysis for an advanced tonal composition.
   2. Identify formal structural elements of a composition.

MUS 128 - Musicianship Skills I

1. Sing basic musical patterns.
   1. Sing all intervals within an octave.
   2. Sing tonal scales.
   3. Sing melodies from a score.
   4. Sing rhythm patterns.
2. Identify basic musical elements by ear using music notation.
   1. Identify intervals by ear from an auditory source.
   2. Identify scales by ear from an auditory source.
   3. Identify melodies by ear from an auditory source.
   4. Identify rhythms by ear from an auditory source.
   5. Identify harmonic progressions by ear from an auditory source.

MUS 129 - Musicianship Skills II

1. Sing advanced musical patterns.
   1. Sing all intervals within an octave.
   2. Sing tonal scales.
   3. Sing melodies from a score.
   4. Sing rhythm patterns.
2. Identify advanced musical elements by ear using music notation.
   1. Identify intervals by ear from an auditory source.
   2. Identify scales by ear from an auditory source.
   3. Identify melodies by ear from an auditory source.
   4. Identify rhythms by ear from an auditory source.
   5. Identify harmonic progressions by ear from an auditory source.

MUS 131 - Piano I

1. Associate notes on the grand staff with the correct location on the keyboard.
   1. Demonstrate knowledge of the letter names of notes on grand staff and ledger lines.
   2. Apply letter names to black and white keys on piano.
   3. Demonstrate ability to read notation and play on piano.
   4. Demonstrate ability to read by interval from note to note.
2. Read and perform rhythm patterns.
   1. Identify time value names for notes.
   2. Demonstrate understanding of relative note value.
   3. Determine meter indicated by meter signature.
   4. Demonstrate ability to tap/play and count rhythms in simple and compound meter using eighth, quarter, dotted quarter, half, dotted half, and whole notes.
3. Perform piano pieces in major and minor keys.
   1. Perform short pieces in 5-finger positions, alternating left and right hand.
   2. Perform short pieces in 5-finger positions, hands together, parallel or contrary motion.
   3. Perform short pieces in 5-finger positions, melody with accord.
   4. Perform short pieces including more than one hand position.
   5. Demonstrate understanding of tempo indications, style, and dynamics in performance.
4. Develop technical skills for piano playing.
   1. Demonstrate proper sitting posture.
   2. Demonstrate correct arm, hand, and finger position.
   3. Develop coordination between the hands.
   4. Demonstrate ability to distribute notes on grand staff to left and right hands.
   5. Develop eye-hand coordination for reading and playing by direction and interval.
   6. Apply different touches-legato phrasing, staccato, accents, and varying dynamic levels f to p.
5. Transpose melodies and harmonize a given melody.
   1. Use whole and half step patterns to build major and minor 5-finger patterns and triads.
   2. Play major scales in tetra chord patterns.
   3. Transpose a 5-finger melody or simple piece from the key it is written in to other keys.
   4. Use tonic and dominant tones or chords to harmonize a melody.

MUS 132 - Piano II

1. Continue development of sight reading skills begun in piano I.
   1. Read pieces in major and minor keys.
   2. Identify key signatures for major and minor keys.
   3. Read pieces hands together in same 5-finger pattern.
   4. Read pieces with melody in one hand, accompaniment in other.
   5. Read pieces with some hand position changes.
2. Read and perform rhythm patterns.
   1. Determine meter indicated by simple and compound meter signatures.
   2. Demonstrate ability to count rhythms in simple and compound meter.
   3. Develop ability to read and play more complicated rhythm patterns including 16th notes, dotted-note patterns, and triplets.
3. Perform piano pieces in major and minor keys.
   1. Perform pieces with hand position extending over the octave.
   2. Perform pieces in minor keys, or combining relative major and minor keys.
   3. Perform ensemble music with two ore more parts.
   4. Develop confidence in playing for the group.
   5. Demonstrate understanding of tempo indications, style, phrasing, and dynamics in performance.
4. Continue to develop technical skills for playing.
   1. Demonstrate correct arm, hand, and finger position.
   2. Develop finger dexterity for scales and melodic passages.
   3. Play triads with good tone, proper use of hand and arm.
   4. Continue developing eye-hand coordination for reading and playing by direction and interval.
   5. Apply different touches-legato, staccato, accents, and varying dynamic levels ff to pp.
   6. Develop arm-hand-finger technique for phrase shaping.
5. Transpose melodies and harmonize a given melody with I, IV and V7 chords.
   1. Use whole and half step patterns to build major and minor scales and triads.
   2. Play major and minor scales, first in tetra chord patterns and then in 2 octaves with thumb crossings, hands separately.
   3. Play major and minor triads and inversions.
   4. Play I, IV, and V chords in root position for major and minor keys.
   5. Play I, IV, and V cadence chords in close position.
   6. Play arpeggios in four octaves; hand over hand (RH LH RH LH).
   7. Transpose a 5-finger melody or simple piece from the key it is written in to other major or minor.
   8. Harmonize a major or minor melody with I, IV, and V chords.

MUS 135 - Fundamentals of Guitar

1. Read and perform guitar music.
   1. Read and play treble clef notes from E to g2.
   2. Read simple chord voicing.
   3. Read and play simple chord charts.
2. Perform simple chords.
   1. Execute all open position major and minor chords.
   2. Execute select dominant seventh chords.
   3. Execute 2 and 3-string barre chords.
3. Play songs with right hand finger-style and strumming methods.
   1. Execute simple upstroke and down stroke strumming with a plectrum.
   2. Execute right hand index, middle, ring, and thumb strokes in a variety of simple patterns.
4. Perform several folk and traditional songs.
   1. Execute appropriate strumming or finger-style patterns for the rhythm of individual songs.
   2. Execute chords for songs from a simple chord chart.
   3. Understand and execute proper rhythm and tempo of given songs through strumming or finger-style.
   4. Accompany oneself and others singing of standard songs.

MUS 136 - Contemporary Guitar Styles

1. Read tablature.
   1. Read 6-line guitar tablature.
   2. Relate numbers and symbols to positions on the guitar.
2. Read chord and scale charts.
   1. Read, understand, and execute basic major minor, and 7th chords.
   2. Read, understand, and execute single position major, minor, and pentatonic scales from scale grids.
3. Improvise over a simple chords progression in different styles.
   1. Play major, minor, and pentatonic scales fluently over a I-IV-V-I chord progression.
   2. Play blues, rock, and jazz style “riffs” over I-IV-V-I chord progressions.
4. Perform several songs from each style: blues, rock, and jazz.
   1. Execute a 12 bar blues song using appropriate chords, scales, and riffs.
   2. Execute a rock song from tablature using chords, scales, rhythms, and riffs.
   3. Execute a jazz song reading from chord charts, using appropriate scales, chords, and riffs.

MUS 137 - Classical Guitar

1. Read and perform guitar music.
   1. Read and play treble clef notes from E to g2.
   2. Relate written notes to positions on guitar.
   3. Read music in two parts on a single staff.
   4. Read simple chord voicing.
   5. Play single note melodies from classical repertoire.
   6. Play 2-part pieces.
2. Manipulate the right hand in plucking the guitar strings.
   1. Execute proper right hand thumb motion and movement.
   2. Execute proper right hand index, middle, and ring finger movement in rest and free s strokes.
3. Demonstrate basic playing technique.
   1. Demonstrate correct posture and playing position.
   2. Demonstrate correct left hand movements.
   3. Coordinate right and left hand movements simultaneously.
4. Understand basic musicianship.
   1. Identify phrases.
   2. Identify and execute changes of timbre.
   3. Identify and execute dynamics.

MUS 138 - Music Voice Class

1. Know the parts of the vocal instrument, how sound is produced, how to use it properly, and how to maintain good vocal health.
   1. Know the 4 parts of the voice and their functions in vocal production.
   2. Coordinate physical balance through physical exercises with relaxed natural whole body breathing.
   3. Practice vocal warm-ups to expand range, tonal accuracy and good articulation for diction.
   4. Work with differences in placement for vowels and consonants and their application to sustaining tone.
   5. Develop good vocal health habits, including what to do in case of a sore throat or laryngitis, and how to choose a good otolaryngologist.
2. Learn how to apply vocal techniques.
   1. Know the proper sequence of steps to learning a song.
   2. Participate in both solo and ensemble performances.
   3. Sing songs in different styles and languages.
3. Apply vocal skills in a performance.
   1. Sing music in different styles in performance.
   2. Rehearse to develop strength in vocal interpretation, artistry and presence.
   3. Exhibit the proper costume attire and stage presentation differences between classical and musical theater or popular.
   4. Practice good rehearsal performance techniques for both classical and popular vocal music.
4. Learn practical musical terms, symbols, and concepts and how to apply them.
   1. Recognize basic music symbols and how to follow the vocal line in a musical score.
   2. Listen to a live vocal performance and learn how to critique vocal artistry, interpretation, presentation and style.
   3. Study differences in vocal performances between classical, musical theater and popular.
   4. Learn basic theater terms, costuming, choreography and use of props and staging.

MUS 146 - Chorale I

1. Identify basic music symbols involved in choral reading and how to follow them.
   1. Understand basic music symbols and terms.
   2. Read music in several parts, i.e. 2-part, 3-part, 4-part.
   3. Sing in parts while maintaining independent musical line.
2. Develop the voice and its relationship to tonal production.
   1. Work with the voice developing range, tonal flexibility, strength and independence.
   2. Read music in different clefs, observing direction of notes in relation to voice.
   3. Work with piano to develop listening and tonal matching skill.
3. Apply vocal skills developed in a performance.
   1. Work with choral music in different styles and technical levels.
   2. Rehearse in sectionals to develop strength in individual vocal parts.
   3. Practice good rehearsal and performance techniques.

MUS 147 - Chorale II

1. Identify basic music symbols involved in choral reading and how to follow them.
   1. Understand basic music symbols and terms.
   2. Read music in several parts, i.e. 2-part, 3-part, 4-part. 1C. Sing in parts while maintaining independent musical line.
2. Develop the voice and its relationship to tonal production.
   1. Work with the voice developing range, tonal flexibility, strength and independence.
   2. Read music in different clefs, observing direction of notes in relation to voice.
   3. Work with piano to develop listening and tonal matching skill.
3. Apply vocal skills developed in a performance.
   1. Work with choral music in different styles and technical levels.
   2. Rehearse in sectionals to develop strength in individual vocal parts.
   3. Practice good rehearsal and performance techniques.

MUS 148 - Chorale III

1. Identify basic music symbols involved in choral reading and how to follow them.
   1. Understand basic music symbols and terms.
   2. Read music in several parts, i.e. 2-part, 3-part, 4-part.
   3. Sing in parts while maintaining independent musical line.
2. Develop the voice and its relationship to tonal production.
   1. Work with the voice developing range, tonal flexibility, strength and independence.
   2. Read music in different clefs, observing direction of notes in relation to voice.
   3. Work with piano to develop listening and tonal matching skill.
3. Apply vocal skills developed in a performance.
   1. Work with choral music in different styles and technical levels.
   2. Rehearse in sectionals to develop strength in individual vocal parts.
   3. Practice good rehearsal and performance techniques.

MUS 149 - Chorale IV

1. Identify basic music symbols involved in choral reading and how to follow them.
   1. Understand basic music symbols and terms.
   2. Read music in several parts, i.e. 2-part, 3-part, 4-part.
   3. Sing in parts while maintaining independent musical line.
2. Develop the voice and its relationship to tonal production.
   1. Work with the voice developing range, tonal flexibility, strength and independence.
   2. Read music in different clefs, observing direction of notes in relation to voice.
   3. Work with piano to develop listening and tonal matching skill.
3. Apply vocal skills developed in a performance.
   1. Work with choral music in different styles and technical levels.
   2. Rehearse in sectionals to develop strength in individual vocal parts.
   3. Practice good rehearsal and performance techniques.

MUS 155 - Choir II

1. Identify advanced music symbols involved in choral reading and how to follow them.
   1. Understand more advanced musical symbols and terms.
   2. Read music in several parts, i.e., 2-part, 3-part, 4-part.
   3. Sing in parts while maintaining independent musical line.
   4. Recognize ascending and descending intervals both visually and aurally.
2. Develop further the voice and its relationship to tonal production.
   1. Work with the voice further developing range, tonal flexibility, strength and independence.
   2. Read music in different clefs, observing intervallic steps and skips and repeated phrase patterns both in melody and harmony.
   3. Work with piano to not only hear and match tones, but also begin hearing intervals to facilitate sight reading skills using solfege.
   4. Develop ensemble sound through working with blending and balancing vocal parts.
3. Apply vocal skills in a performance.
   1. Work with choral music in different styles at a more technical level.
   2. Rehearse in sectionals to continue developing strength in individual vocal parts.
   3. Practice good rehearsal and performance techniques for both formal choral singing and stage movement.

MUS 171 - Applied Music Piano Minor–Freshman

1. Develop technical skills.
   1. Play all major scales , 2 octaves, HS/ HT, as 8th notes with the quarter at 60-80.
   2. Play all major triads and inversions.
   3. Play cadence chords in all major keys.
   4. Play white key major arpeggios, 2 octaves, standard fingerings.
2. Study classical piano repertoire and prepare for performance in jury.
   1. Prepare 3 pieces, memorized, in contrasting styles and from 3 historical periods. Suggested minimum level repertoire:
      1. Bach Minuets, Marches, Polonaises;
      2. Classical Sonatinas by Clementi, Kuhlau, Haydn, Beethoven; 19th or 20th century pieces by Schumann, Chopin, Mendelssohn, Bartok, Kabelevsky, or similar.
3. Perform for piano jury evaluation at end of semester.
   1. Play scales, chords, and arpeggios in 2-3 keys.
   2. Play 2 pieces, at least 1 memorized.

MUS 172 - Applied Music Piano Minor–Freshman

1. Develop technical skills.
   1. Play all major and white key minor scales, 2 octaves, as 8th notes with quarter at 60-80, HT.
   2. Play minor triads and inversions, HS/HT.
   3. Play I-IV-I-V-V7-I cadences for all major keys.
   4. Play all major and white key minor arpeggios, 2 octaves, HS/HT.
2. Study classical piano repertoire and prepare for performance in jury.
   1. Prepare 3 pieces, memorized, in contrasting styles and from 3 historical periods.
   2. Know the Repertoire: same as MUS 171 for minimum; also suggested, Classics to Modern #17 or 27, Bastien Literature 1 & 2, or similar.
   3. Prepare 1 or more technical etudes.
3. 3. Perform for piano jury evaluation at end of semester.
   1. Play scales, chords, and arpeggios in 2-3 keys.
   2. Play 2 pieces, both memorized.

MUS 173 - Applied Music Instrumental Minor–Freshman

1. Produce an idiomatic tone and technique at the foundational level.
   1. Woodwinds, Brass, and Strings;
      1. Study at least one Baroque selection.
      2. Study at least one Classical or Romantic selection.
      3. Study at least one Romantic or 20th Century piece.
2. Demonstrate musical expression at the foundational level.
   1. Percussion
      1. Demonstrate foundational snare rudiments
      2. Demonstrate bass drum
   2. Organ
      1. Introduce pedal and manual exercises
      2. Introduce at least 2 manual pieces
      3. Introduce at least 1 piece with pedals

MUS 174 - Applied Music Instrumental Minor–Freshman

1. Produce an idiomatic tone and technique at the basic level.
   1. Woodwinds, Brass, and Strings;
      1. Study tones at various dynamic levels
      2. Memorize chromatic scale in a variety of articulations (or bowings)
      3. Identify major arpeggios- C, F, Bb, Eb, G, D, A connected and separated with 8th notes at 100 for full range.
2. Demonstrate musical expression at the basic level.
   1.  
      1. Demonstrate at least one Baroque selection studied
      2. Demonstrate at lest one Classical or Romantic
      3. Demonstrate at least one Romantic or 20th Century
   2. Percussion
      1. Demonstrate intermediate sticking
      2. Demonstrate Timpani
   3. Organ
      1. Demonstrate manual and pedal exercises
      2. Demonstrate at least 2 manual pieces
      3. Demonstrate at least 2 pieces with pedal

MUS 175 - Applied Music Voice Minor–Freshman

1. Identify music symbols involved in vocal reading and how to follow them.
   1. Understand musical symbols and terms.
   2. Sing while maintaining an independent vocal line from the musical accompaniment.
   3. Recognize ascending and descending intervals both visually and aurally.
2. Develop the voice and its relationship to tonal production.
   1. Work with the voice developing range, tonal flexibility, strength and independence.
   2. Read music observing intervallic steps and skips and repeated melodic phrase patterns.
   3. Work with piano to not only hear and match tones, but also begin hearing intervals to facilitate sight reading skills using solfege.
   4. Work on artistry and musicianship through use of dynamics, ritardando, accelerando, rubato, tacets, etc.
3. Apply vocal skills in a performance.
   1. Work with music in different styles.
   2. Rehearse to develop strength in vocal interpretation and presence.
   3. Practice good rehearsal and performance techniques for both classical and popular vocal music.

MUS 176 - Applied Music Voice Minor–Freshman

MUS 181 - Applied Music Piano Major–Freshman

1. Develop technical skills.
   1. Play all major scales, 2 octaves, HS/HT, as 8th notes with the quarter at 80-100.
   2. Play all major and minor triads and inversions.
   3. Play I-IV-I-V-V7-I cadences for all major keys.
   4. Play all major arpeggios, 2 octaves, standard fingerings.
2. Study classical piano repertoire and prepare for performance in jury.
   1. Prepare 3 pieces, memorized , in contrasting styles and from 3 different historical periods.
   2. Prepare 1-2 technical etudes.
   3. Know Repertoire minimum level: Bach Minuets, Marches, Polonaises; Classical Sonatinas by Clementi, Kuhlau, Haydn, Beethoven; 19th or 20th Century pieces by Schumann, Chopin, Mendelssohn, Bartok, abalevsky, and similar.
3. Perform for piano jury evaluation at end of semester.
   1. Play scales, chords, and arpeggios in 3-4 keys.
   2. Play 3 memorized pieces, 1 may be an etude.

MUS 182 - Applied Music Piano Major–Freshman

1. Develop technical skills.
   1. Play all major and minor scales, 2 octaves, HT, as 8th notes with the quarter at 88-112.
   2. Play I-IV-I-V-V7-I cadences for all minor keys.
   3. Play cadence chords in all major keys-root in bass, rh. 3-voice close position in three positions (I in root position, I in 1st inversion, I in 2nd inversion.)
   4. Play all major and minor arpeggios, 3 octaves, as 8th note triplets with the quarter at 66-84.
2. Study classical piano repertoire and prepare for performance in jury.
   1. Prepare 1-2 technical etudes.
   2. Prepare 3 pieces, memorized, in contrasting styles and from 3 historical periods.
   3. Know repertoire: (minimum level same as MUS 181) Bach Little Preludes & Fugues or 2-Part Inventions or similar by other Baroque composer; Mozart or Haydn Sonata movement; Intermediate to Late intermediate Romantic and 20th Century literature (e.g., Chopin Waltzes, Khatchaturian Sonatina, Schubert Waltzes, Mendelssohn songs without words, Classics to Modern #37)

MUS 183 - Applied Music Instrumental Major–Freshman

1. Demonstrate foundational tonal and technical performance skills (Woodwinds, Brass, and Strings).
   1. Demonstrate basic vibrato
   2. Demonstrate wide dynamic control on chromatic scale throughout range of instrument
   3. Memorize chromatic scale full range of instrument
   4. Memorize all major scales in various articulations, full range of instrument. Work toward 16th notes at quarter note=100.
2. Demonstrate a foundational level of stylistic interpretation.
   1. Woodwinds, Brass, and Strings:
      1. Demonstrate 1-2 selections from the Baroque or Classical
      2. Demonstrate 1-2 selections from the Classical or Romantic
      3. Demonstrate 1-2 selections from the Romantic or 20th Century
      4. Demonstrate 1 extensive unaccompanied etude
   2. Percussion:
      1. Identify basic snare rudiments
      2. Introduce bass drum/cymbal technique
   3. Organ:
      1. Learn manual and pedal exercises
      2. Know at least 2 manual selections
      3. Know at least 2 selections with pedals

MUS 184 - Applied Music Instrumental Major–Freshman

1. Demonstrate basic tonal and technical performance skills. (Woodwinds, Brass, Strings)
   1. Demonstrate tonal studies at various dynamics, intonation, breath control lip slurs (brass), positions (strings).
   2. Attempt (depending upon available instrumentation) to play chamber music.
   3. Know all major arpeggios, memorized, full range of instrument, in several articulations, working toward 8th notes with quarter note=120.
2. Demonstrate a basic level of stylistic interpretation.
   1. Demonstrate at least 5 pieces studied from the following choices (Woodwinds, Brass, and Strings):
      1. 1-2 from Baroque or Classical
      2. 1-2 from Classical or Romantic
      3. 1-2 from Romantic or 20th Century
      4. Continuing study of etudes
   2. (Percussion):
      1. Demonstrate advanced sticking
      2. Demonstrate Timpani
      3. Demonstrate bass drum and cymbals techniques
   3. (Organ):
      1. Demonstrate continued manual and pedal exercises
      2. Demonstrate at least 1 manual selection
      3. Demonstrate at least 3 selections with pedal.
      4. Demonstrate at l east 2 hymns/service selections with pedal

MUS 185 - Applied Music Voice Major–Freshman

MUS 186 - Applied Music Voice Major–Freshman

MUS 190 - Chamber Choir I

1. Demonstrate ability to adjust to diverse demands in vocal technique.
   1. Improve vocal intonation and tuning.
   2. Enhance vocal performance through quick response to musical signs and symbols.
   3. Increase awareness of different singing styles and interpretations, particularly acappella (unaccompanied) ensemble singing.
2. Demonstrates development of vocal range and flexibility through study and performance of advanced choral literature.
   1. Improve ability to sustain notes through breath control and vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility.
   3. Improve sight reading abilities within specific clefs relating to voice type.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ healthy singing habits to performance and practice.
3. Demonstrates development of and improvement of learned vocal skills through increasingly varied and advanced performance practices.
   1. Employ appropriate vocal technique by understanding the concept of ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more performances of the choral works learned.
   4. Perform increasingly diverse styles of music from various music periods and genres.

MUS 191 - Chamber Choir II

1. Demonstrate ability to adjust to diverse demands in vocal technique objectives.
   1. Improve vocal intonation and tuning.
   2. Enhance vocal performance through quick response to musical signs and symbols.
   3. Increase awareness of different singing styles and interpretations, particularly acappella (unaccompanied) ensemble singing.
2. Demonstrate development of vocal range and flexibility through study and performance of advanced choral literature.
   1. Improve ability to sustain notes through breath control and vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility.
   3. Improve sight reading abilities within specific clefs relating to voice type.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ healthy singing habits to performance and practice.
3. Demonstrate development and improvement of learned vocal skills through increasingly varied and advanced performance practices
   1. Employ appropriate vocal technique by understanding the concept of ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more performances of the choral works learned.
   4. Perform increasingly diverse styles of music from various music periods and genres.

MUS 192 - Chamber Choir III

1. Demonstrate ability to adjust to diverse demands in vocal technique objectives.
   1. Improve vocal intonation and tuning.
   2. Enhance vocal performance through quick response to musical signs and symbols.
   3. Increase awareness of different singing styles and interpretations, particularly acappella (unaccompanied) ensemble singing.
2. Demonstrate development of vocal range and flexibility through study and performance of advanced choral literature.
   1. Improve ability to sustain notes through breath control and vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility.
   3. Improve sight reading abilities within specific clefs relating to voice type.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ healthy singing habits to performance and practice.
3. Demonstrate development of and improvement of learned vocal skills through increasingly varied and advanced performance practices.
   1. Employ appropriate vocal technique by understanding the concept of ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more performances of the choral works learned.
   4. Perform increasingly diverse styles of music from various music periods and genres.

MUS 193 - Chamber Choir IV

1. Demonstrate ability to adjust to diverse demands in vocal technique objectives.
   1. Improve vocal intonation and tuning.
   2. Enhance vocal performance through quick response to musical signs and symbols.
   3. Increase awareness of different singing styles and interpretations, particularly acappella (unaccompanied) ensemble singing.
2. Demonstrate development of vocal range and flexibility through study and performance of advanced choral literature.
   1. Improve ability to sustain notes through breath control and vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility.
   3. Improve sight reading abilities within specific clefs relating to voice type.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ healthy singing habits to performance and practice.
3. Demonstrate development of and improvement of learned vocal skills through increasingly varied and advanced performance practices.
   1. Employ appropriate vocal technique by understanding the concept of ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more. Performances of the choral works learned.
   4. Perform increasingly diverse styles of music from various music periods and genres.

MUS 194 - Jazz Singers I

1. Demonstrates development of vocal technique as it relates specifically to vocal jazz/pop choral singing.
   1. Develop listening skills as they relate to harmonization within a small jazz vocal group.
   2. Enhance vocal performance through quick response to musical signs and symbols as they relate to jazz/pop/rock/blues ensemble singing.
   3. Increase awareness of different singing styles and interpretations across the pop music spectrum.
2. Demonstrates development of vocal range and flexibility through study and performance of jazz/pop choral literature.
   1. Improve ability to sustain notes through breath control and jazz vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility in jazz and related genre.
   3. Improve sight reading abilities within specific clefs relating to voice type in jazz and related genre.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ choreography in jazz/pop choral performance.
   6. Employ healthy singing habits to performance and practice as it relates to jazz/pop styles.
3. Demonstrates development of and improvement of learned vocal skills through increasingly varied and advanced performance practices of jazz and popular literature.
   1. Employ appropriate vocal technique by understanding the concept of jazz/pop ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette as it relates to jazz/pop choral singing.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more performances of the jazz/pop choral works learned.
   4. Perform increasingly diverse styles of jazz/pop music from contemporary composers.

MUS 195 - Jazz Singers II

1. Demonstrate development of vocal technique as it relates specifically to vocal jazz/pop choral singing.
   1. Develop listening skills as they relate to harmonization within a small jazz vocal group.
   2. Enhance vocal performance through quick response to musical signs and symbols as they relate to jazz/pop/rock/blues ensemble singing.
   3. Increase awareness of different singing styles and interpretations across the pop music spectrum.
2. Demonstrate development of vocal range and flexibility through study and performance of jazz/pop choral literature.
   1. Improve ability to sustain notes through breath control and jazz vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility in jazz and related genre.
   3. Improve sight reading abilities within specific clefs relating to voice type in jazz and related genre.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ choreography in jazz/pop choral performance.
   6. Employ healthy singing habits to performance and practice as it relates to jazz/pop styles.
3. Demonstrate development of and improvement of learned vocal skills through increasingly varied and advanced performance practices of jazz and popular literature.
   1. Employ appropriate vocal technique by understanding the concept of jazz/pop ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette as it relates to jazz/pop choral singing.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more performances of the jazz/pop choral works learned.
   4. Perform increasingly diverse styles of jazz/pop music from contemporary composers.

MUS 196 - Jazz Singers III

1. Demonstrate development of vocal technique as it relates specifically to vocal jazz/pop choral singing.
   1. Develop listening skills as they relate to harmonization within a small jazz vocal group.
   2. Enhance vocal performance through quick response to musical signs and symbols as they relate to jazz/pop/rock/blues ensemble singing.
   3. Increase awareness of different singing styles and interpretations across the pop music spectrum.
2. Develop vocal range and flexibility through study and performance of jazz/pop choral literature
   1. Improve ability to sustain notes through breath control and jazz vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility in jazz and related genre.
   3. Improve sight reading abilities within specific clefs relating to voice type in jazz and related genre.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ choreography in jazz/pop choral performance.
   6. Employ healthy singing habits to performance and practice as it relates to jazz/pop styles.
3. Demonstrate development of and improvement of learned vocal skills through increasingly varied and advanced performance practices of jazz and popular literature.
   1. Employ appropriate vocal technique by understanding the concept of jazz/pop ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette as it relates to jazz/pop choral singing.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more performances of the jazz/pop choral works learned.
   4. Perform increasingly diverse styles of jazz/pop music from contemporary composers.

MUS 197 - Jazz Singers IV

1. Demonstrate development of vocal technique as it relates specifically to vocal jazz/pop choral singing.
   1. Develop listening skills as they relate to harmonization within a small jazz vocal group.
   2. Enhance vocal performance through quick response to musical signs and symbols as they relate to jazz/pop/rock/blues ensemble singing.
   3. Increase awareness of different singing styles and interpretations across the pop music spectrum.
2. Demonstrate development of vocal range and flexibility through study and performance of jazz/pop choral literature.
   1. Improve ability to sustain notes through breath control and jazz vocal technique.
   2. Strengthen the voice with increased range and tonal flexibility in jazz and related genre.
   3. Improve sight reading abilities within specific clefs relating to voice type in jazz and related genre.
   4. Improve performance through use of posture and breathing techniques.
   5. Employ choreography in jazz/pop choral performance.
   6. Employ healthy singing habits to performance and practice as it relates to jazz/pop styles
3. Demonstrate development of and improvement of learned vocal skills through increasingly varied and advanced performance practices of jazz and popular literature.
   1. Employ appropriate vocal technique by understanding the concept of jazz/pop ensemble singing.
   2. Demonstrate both rehearsal and concert etiquette as it relates to jazz/pop choral singing.
   3. Attend assigned rehearsals (including dress rehearsal) culminating in one or more performances of the jazz/pop choral works learned.
   4. Perform increasingly diverse styles of jazz/pop music from contemporary composers

MUS 240 - Guitar Ensemble

1. Demonstrate proper classical guitar tone and technique.
   1. Demonstrate various basic guitar techniques such as scales, arpeggios, and slurs effectively.
   2. Perform basic guitar compositions utilizing a variety of timbres on guitar.
2. Demonstrate effective reading of guitar music.
   1. Perform several short pieces of polyphonic guitar music.
   2. Complete a basic guitar notation assignment.
3. Perform as a member of a musical ensemble.
   1. Listen to and communicate with others in ensemble via musical sounds.
   2. Keep rhythmic time and perform the proper notes of a composition.
   3. Perform with proper dynamics and expressive devices.

MUS 271 - Applied Music Piano Minor–Sophomore

1. Develop technical skills.
   1. Play all major scales, 4 octaves, HT, as 8th notes with the quarter at 80-100.
   2. Play all minor scales, 2 octaves, HS/HT, as 8th notes with the quarter at 60-80.
   3. Play all major and minor triads and inversions.
   4. Play I-IV-I-V-V7-I cadences in minor keys.
   5. Play arpeggios in all major and minor keys, 3 octaves as triplet 8ths, with the quarter at 52056.
2. Study classical piano repertoire and prepare for performance in jury.
   1. Prepare 1 or more technical etudes.
   2. Prepare 3 pieces (at least 2 memorized), in contrasting styles, from 3 different periods.
   3. Know the repertoire suggest level: Classics to Modern #37, Bastien Literature II or III, or similar.
3. Perform for piano jury evaluation at end of semester.
   1. Play scales, chords, and arpeggios in 2 major and 2 minor keys.
   2. Play 3 pieces (2 memorized), one may be an etude.

MUS 272 - Applied Music Piano Minor–Sophomore

1. Develop technical skills.
   1. Play all major and minor scales, 4 octaves, HT, as 16th notes with the quarter at 66-80.
   2. Play cadence chords in all major keys-root in bass, rh. 3-voice close position in three positions (I in root position, I in 1st inversion , I in 2nd inversion).
   3. Play arpeggios in all major and minor keys, 3 octaves as triplet 8ths, with the quarter at 52-66.
2. Study classical piano repertoire and prepare for performance in jury.
   1. Prepare 1 or more technical etudes.
   2. Prepare 3 pieces (at least 2 memorized), in contrasting styles, from 3 different periods.
   3. Repertoire suggested level-Classics to Modern #37, Bastien Literature II or III, or similar.
3. Perform for piano jury evaluation at end of semester.
   1. Play two minor scales, 2 cadences as indicated, and 2 arpeggios.
   2. Play 3 pieces (2 memorized), one may be an etude.

MUS 273 - Applied Music Instrumental Minor Sophomore

1. Produce an idiomatic tone and technique at the intermediate level (Woodwinds, Brass, and String).
   1. Identify tone studies in diatonic thirds in C, F, Bb, Eb, G, D, A
   2. Know all harmonic minor scales at moderate speed
2. Demonstrate musical expression at the intermediate level.
   1. Woodwinds, Brass, and Strings:
      1. Know at least 2 selections from the Renaissance through the Romantic periods.
      2. Know at least 1 selection from the Romantic or 20th century.
   2. Percussion:
      1. Introduced to mallet percussion
      2. Learn variety of traps
   3. Organ:
      1. Continue manual and pedal exercises
      2. Demonstrate at least 2 pieces with pedal
      3. Demonstrate at least 2 hymns/service selections with pedal

MUS 274 - Applied Music Instrumental Minor–Sophomore

1. Produce idiomatic tone and technique at the advanced level (Woodwinds, Brass, and Strings).
   1. Know tone studies
   2. Attempt chamber group selections as instrumentation is available
   3. Study listening examples
2. Demonstrate musical expression at the advanced level.
   1. Woodwinds, Brass, and Strings:
      1. Demonstrate 1-2 selections from the Renaissance through the Classical
      2. Demonstrate 1-2 selections from the Romantic or 20th Century
      3. Demonstrate 1-2 extensive etudes for expression, technique, articulation (or bowing)
      4. Make an effort to memorize at least one selection or etude
   2. Percussion:
      1. Study intermediate mallet keyboard
   3. Organ:
      1. Demonstrate pedal scales; manual scales as needed
      2. Demonstrate at least 3 selections with pedal
      3. Demonstrate at least 2 hymns/service selections with pedal
      4. Demonstrate at least 2 service selections
      5. Prepare a short paper on organ registration

MUS 275 - Applied Music Voice Minor–Sophomore

MUS 276 - Applied Music Voice Minor–Sophomore

MUS 281 - Applied Music Piano Major–Sophomore

1. Develop technical skills.
   1. Play all major scales, 4 octaves, HT, as 16th notes with the quarter at 80-100.
   2. Play all minor scales, 4 octaves, HT, as 16th notes with the quarter at 72-88.
   3. Play all major octave chords and inversions.
   4. Play cadence chords in all major keys-root in bass, rh. in 3-voice close position in three positions (I in root position, I in 1st inversion, I in 2nd inversion).
   5. Play all major and minor arpeggios, 4 octaves, as 16th notes with the quarter at 60-80.
2. Study classical piano repertoire and prepare for performance in jury.
   1. Prepare 1-2 technical etudes.
   2. Prepare 3 pieces, memorized, in contrasting styles and from 3 different historical periods.
   3. Know the repertoire recommended level: Bach Inventions, Sinfonias, Little Preludes and Fugues, WTC Preludes and Fugues; Sonata movements by Haydn, Mozart, Beethoven; Advanced Romantic and 20th Century literature.
3. Perform for piano jury evaluation at end of semester.
   1. Play scales, chords and arpeggios in 2 major and 2 minor keys.
   2. Play 3 memorized pieces from repertoire list.