MTH 120A - Finite Mathematics - Extended Hours

Credits: 3
Instructional Contact Hours: 5

This course is designed for students who need practice in foundational skills while engaging in college-level study of mathematics and problem-solving skills. Class sessions and assignments will reinforce prerequisite skills and topics through embedded support and just-in-time remediation.

 

Prerequisite(s): High school GPA of 2.5 or higher within the last ten years or completion of the Guided Self-Placement (GSP) process - Must be completed prior to taking this course.

 
Corequisite(s): None
Lecture Hours: 75 Lab Hours: 0
Meets MTA Requirement: Math
Pass/NoCredit: Yes

Outcomes and Objectives  

1. Demonstrate an understanding of functions.
   1. Use function notation in equations and graphs of linear functions.
   2. Define the terms function, domain, and range.
   3. Evaluate linear functions at points in its domain.
   4. Use linear functions as mathematical models.
   5. Solve basic linear equations.
   6. Solve a multi-variable 1st degree equation for one of the variables.
   7. Identify if a line has positive, negative, zero, or undefined slope.
   8. Graph a line written in slope-intercept form.
   9. Graph vertical and horizontal lines.
   10. Identify the slope and y-intercept from the equation of a line in any form.
   11. Write an equation of a line in a variety of settings.
   12. Interpret slope of a line as a rate of change.
   13. Sketch a scatter plot by hand.
   14. Find the line of best fit for a given bivariate data set.
2. Demonstrate an understanding of systems of equations.
   1. Find the intersection point of two lines that cross using algebraic methods.
   2. Determine from the equations of two lines if the two lines are parallel.
   3. Determine from the equations of two lines if the two lines are the same line.
   4. Use matrices as a tool to manipulate systems of equations.
   5. Solve systems of equations using appropriate methods.
3. Demonstrate an understanding of systems of inequalities. 
   1. Write one dimensional inequalities in interval form.
   2. Graph one dimensional inequalities on a number line.
   3. Solve basic linear inequalities in one variable.
   4. Graph inequalities in two variables. 
   5. Solve systems of inequalities in two variables graphically. 
4. Demonstrate an understanding of Linear Programming. 
   1. Formulate the parts of a linear programming problem.
   2. Solve a two-variable linear programming problem graphically.
   3. Use the Simplex Method to set up the linear programming problem.
   4. Determine whether the Simplex Method has found the optimal solution.
   5. Write out the solution given by the Simplex Method.
5. Demonstrate an understanding of basic probability or 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.
6. Demonstrate an understanding of the mathematics of finance.
   1. Write a profit function when given information about revenue and cost functions.
   2. Determine a break-even point between revenue and cost.
   3. Determine the appropriate financial formula to use for a given problem.
   4. Correctly compute values derived from these formulas.
   5. Define the terms compound interest, simple interest, annuity, future value and present value.
7. Demonstrate an understanding of measures of central tendency or variation.
   1. Define and compute the mean, median, and mode.
   2. Define and compute the standard deviation, variance, and range.
8. Demonstrate an understanding of how to apply mathematics to solve real world problems.
   1. Use the concepts of functions 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. Solve application problems in the math of finance.
9. Use technology (calculator/computer software) appropriately to do mathematics.
   1. Sketch a scatter plot.
   2. Graph a function.
   3. Solve linear systems.
   4. Solve linear regression problems.
   5. Graph a system of inequalities.
   6. Perform matrix operations (add, subtract, multiply, rref).
   7. Use the Simplex program.
   8. Find intersection points of lines.
   9. Calculate combinations and permutations.
   10. Use graphs and tables to solve financial problems (optional).
   11. Use the TVM solver for financial problems (optional).