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): 2.5 ≤ HS GPA ≤ 2.99 or SAT-M ≥ 530 or ACCUPLACER (QRAS) ≥ 255 or ACCUPLACER (AAF) ≥ 243 or HS Math Course = Precalculus with a B or better taken within 5 years or AP Calculus (AB) Score: 1-5 or AP Calculus (BC) Score: 1-5 or Completion of Math GSP Process

 
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 the Change of base property to evaluate a log.
   2. Convert a log equation to an exponential equation.
   3. Convert an exponential equation to a log equation.
   4. Use function notation in equations and graphs.
   5. Define the terms function, domain, and range.
   6. Determine if a relationship is a function.
   7. Identify graphs of basic functions.
   8. Graph functions.
   9. Evaluate functions at points in its domain.
   10. Determine the domain of a function.
   11. Distinguish between different types of functions.
   12. Manipulate the algebraic representation of a function.
   13. Use functions as mathematical models.
2. Demonstrate an understanding of systems of equations.
   1. Solve basic linear equations.
   2. Solve a multi-variable 1st degree equation for one of the variables.
   3. Write inequalities in interval form.
   4. Graph inequalities on a number line.
   5. Solve basic linear inequalities in one variable.
   6. Identify if a line has positive, negative, zero, or undefined slope.
   7. Graph a line written in slope-intercept form.
   8. Graph vertical and horizontal lines.
   9. Identify the slope and y-intercept from the equation of a line in any form.
   10. Write an equation of a line when given a graph of the line.
   11. Interpret slope of a line as a rate of change.
   12. Sketch a scatter plot by hand.
   13. Find the intersection point of two lines that cross using algebraic methods.
   14. Determine from the equations of two lines if the two lines are parallel.
   15. Determine from the equations of two lines if the two lines are the same line.
   16. Use matrices as a tool to manipulate systems of equations.
   17. Solve systems of equations using appropriate methods.
   18. Formulate the parts of a linear programming problem.
   19. Solve a 2 variable linear programming problem graphically.
   20. Set up the linear programming problem for solution by Simplex Method.
   21. Determine if the Simplex Method has found the optimal solution.
   22. Write out the solution given by the Simplex Method.
3. Demonstrate an understanding of basic probability.
   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. Demonstrate an understanding of the basic formulas of finance.
   1. Write a profit function when given a revenue and cost function.
   2. Find a break-even point given a revenue and cost function.
   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.
5. 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. 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. Use technology (calculator/computer software) appropriately to do mathematics.
   1. Use a calculator to raise a numerical base to a real number power.
   2. Use a calculator to evaluate a log.
   3. Sketch a scatter plot with a calculator.
   4. Enter a matrix into a calculator.
   5. Graph a function on a calculator.
   6. Solve linear systems, including use of “rref” function.
   7. Solve linear regression problems.
   8. Graph a system of inequalities and find the corner points.
   9. Use MATRIX operations (add, subtract, multiply).
   10. Use the Simplex program.
   11. Find intersection points of curves (revenue and cost functions to find break-even point).
   12. Calculate combinations and permutations.
   13. Use graphs and tables to solve financial problems (optional).
   14. Use the TVM solver for financial problems (optional).