# MATH 12 - Support Topics for Finite Mathematics

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 12. A Student Learning Outcome is a measurable outcome statement about what a student will think, know, or be able to do as a result of an educational experience. Course Measurable Objectives focus more on course content, and can be considered to be smaller pieces that build up to the SLOs.

## Student Learning Outcomes (SLOs)

- Students feel that Math 12 has improved their overall mathematical understanding and ability in Math 120. (Measured by survey provided by corequisite committee)
- Math 12 students will be able to solve linear equations using Gauss-Jordan method.
- Math 12 students will be able to solve applications involving linear functions.
- Math 12 students will be able to use critical thinking to interpret results and write conclusions.
- Math 12 students will be able to apply counting techniques to solve combinatorics problems.
- Math 12 students will be able to solve applications of expected value.

## Course Measurable Objectives (CMOs Effective through Summer 2024)

- Solve problems from business, economics, life and social sciences using mathematical modeling.
- Solve systems of linear equations using Gauss-Jordan method.
- Solve linear programming problems using geometric and simplex method.
- Use formulas to solve application problems involving simple interest, compound interest, present and future value annuities.
- Draw Venn diagrams to illustrate the relationship among sets.
- Use counting methods to solve combinatorics problems.
- Determine the probability of events using models involving permutations and combinations.
- Construct a binomial probability distribution.
- Compare measures of central tendency.
- Calculate the standard deviation of a data set.
- Compare and interpret z-scores.
- Construct models using Markov chain to determine long term trends.
- Communicate effectively in mathematical language.

**Course Measurable Objectives (CMOs Effective Beginning Fall 2024)**

- Apply techniques of mathematical modeling to problems from business, economics and social sciences using formulas, graphs, and systems of equations.
- Apply linear programming techniques for maximizing and minimizing linear functions.
- Apply and solve formulas for calculating interest, present value, future value, annuities, and sinking funds, as well as determine payments and lump sum deposits.
- Apply exponential graphs and functions.
- Translate large amounts of real life data into mathematical models involving matrices.
- Solve linear programming problems in at least three variables.
- Use matrix theory to manipulate data.
- Solve a system of linear equations using Gauss-Jordan elimination and interpret the result.
- Find the inverse of a square matrix and use the inverse to solve a system of linear equations.
- Propose appropriate counting models involving sets, permutations, and combinations for situations where straightforward counting is impractical.
- Formulate probabilistic models and calculate the probability of various events, including conditional probabilities.
- Find unions, intersections, and complements of sets and use Venn diagrams to solve problems.
- Develop models that use Markov chains to study patterns for the future and to make predictions.
- Analyze, organize, and interpret numerical data.