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. GRAPHING TECHNOLOGY 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
1. Demonstrate an understanding of functions.
A. Define the terms function, domain and range.
B. Graph linear functions.
C. Evaluate linear functions at points in its domain.
D. Use linear functions as mathematical models.
2. Demonstrate an understanding of systems of equations.
A. Use matrices as a tool to manipulate systems of equations.
B. Solve systems of equations using appropriate methods.
3. Demonstrate an understanding of systems of inequalities.
A. Solve systems of inequalities in two variables graphically.
4. Demonstrate an understanding of Linear Programming.
A. Formulate the parts of linear programming problem.
B. Solve a two-variable linear programming problem graphically.
C. Use the Simplex Method to set up the linear programming problem.
D. Determine whether the Simplex Method has found the optimal solution.
E. Write out the solution given by the Simplex Method.
5. Demonstrate an understanding of basic probability or counting.
A. Define classical and empirical probability, permutations, and combinations.
B. Use the definitions to determine the probabilities of events.
C. Differentiate between permutations and combinations.
D. Use the language of sets appropriately.
6. Demonstrate an understanding of the mathematics of finance.
A. Determine the appropriate financial formula to use for a given problem.
B. Correctly compute values derived from these formulas.
C. Define the terms compound interest, simple interest, annuity, future value, and present value.
7. Demonstrate an understanding of measures of central tendency or variation.
A. Define and compute the mean, median, and mode.
B. Define and compute the standard deviation, variance, and range.
8. Demonstrate an understanding of how to apply mathematics to solve real-world problems.
A. Use the concepts of functions to solve application problems.
B. Use the concepts of systems of equations and inequalities to solve application problems.
C. Use the concepts of probability and counting to solve application problems.
D. Solve application problems in the math of finance.
9. Use technology (calculator/computer software) appropriately to do mathematics.
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