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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)

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

Course Measurable Objectives (CMOs Effective through Summer 2024)

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

Course Measurable Objectives (CMOs Effective Beginning Fall 2024)

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