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Dec 17, 2024
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MTH 120 - Finite MathematicsCredits: 3 Instructional Contact Hours: 3
Includes topics of mathematical modeling (polynomial and rational functions; their graphs and applications; and arithmetic and geometric progressions), systems of equations and inequalities, linear programming, and an introduction to probability (binomial distributions and graphing qualitative data). Covers computer applications of some topics. A GRAPHING CALCULATOR IS REQUIRED. (Those students planning to take MTH 161 should take MTH 151 rather than MTH 120.)
Prerequisite(s): High school GPA of 3.0 or higher within the last ten years OR completion of Guided Self-Placement (GSP) process. Corequisite(s): None Lecture Hours: 45 Lab Hours: 0 Meets MTA Requirement: Math Pass/NoCredit: Yes
Outcomes and Objectives - Students will demonstrate an understanding of functions and function notation.
- Define the terms function, domain and range.
- Determine if a relationship is a function.
- Graph functions.
- Evaluate functions at points in its domain.
- Determine the domain of a function.
- Distinguish between different types of functions.
- Manipulate the algebraic representation of a function.
- Use functions as mathematical models.
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- Use matrices as a tool to manipulate systems of equations.
- Solve systems of equations using appropriate methods.
- Formulate the parts of linear programming problem
- Solve a 2 variable linear programming problem graphically.
- Set up the linear programming problem for solution by Simplex Method.
- Determine if the Simplex Method has found the optimal solution.
- Write out the solution given by the Simplex Method.
- Students can demonstrate an understanding of basic probability and counting.
- Define classical and empirical probability, permutations and combinations.
- Use the definitions to determine the probabilities of events.
- Differentiate between permutations and combinations.
- Use the language of sets appropriately.
- Students will be able to demonstrate an understanding of the basic formulas of finance.
- Determine the appropriate financial formula to use for a given problem.
- Correctly compute values derive from these formulas.
- Define the terms compound interest, simple interest, annuity, future value and present value.
- Students can demonstrate an understanding of measures of central tendency and variation.
- Define and compute the mean, median, and mode.
- Define and compute the standard deviation, variance and range.
- Students will demonstrate an understanding of how to apply mathematics to solve real world problems.
- Use the concepts of functions and function notation to solve application problems.
- Use the concepts of systems of equations and inequalities to solve application problems.
- Use the concepts of probability and counting to solve application problems.
- Use financial formulas to solve application problems.
- Students will demonstrate an understanding of functions and function notation.
- Students will use technology (calculator/computer software) appropriately to do mathematics
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