Liberal Arts Mathematics


Lesson List

  1. Percentage, Taxes, and Inflation
  2. Interest
  3. Consumer Loans
  4. Annuities
  5. Mortgages
  6. Lines, Angles, and Circles
  7. Polygons
  8. Perimeter and Area
  9. Volume and Surface Area
  10. Apportionment
  11. Huntington-Hill Apportionment
  12. Voting Methods
  13. Introduction to Counting Methods
  14. The Fundamental Counting Principle
  15. Permutations and Combinations
  16. Probability Theory
  17. Complements and Unions of Events
  18. Conditional Probability and Intersections of Events
  19. Organizing and Visualizing Data
  20. Measures of Center
  21. Measures of Dispersion
  22. The Normal Distribution

Teaching Resources



OER Materials

Corequisite Materials

KCTCS Competencies

Upon completion of this course, the student can:

  1. Compare and contrast a variety of voting methods, including majority, plurality, runoff, Borda count, and pairwise methods.
  2. Determine the winner of an election from a preference schedule using the methods aforementioned.
  3. Solve real-world problems related to apportionment.
  4. Calculate interest on investments and loans and other financial tools, including amortization schedules.
  5. Calculate the probability of outcome of an event with and without replacement, combinations and permutations.
  6. Apply the Law of Large Numbers to critical thinking problems.
  7. Calculate and interpret basic descriptive statistical measures such as mean, median, mode, range, variance, standard deviation, and determine z-scores from a normal distribution.
  8. Solve problems using basic two- and three-dimensional geometry.
  9. Solve geometry problems using similarity, scalability, and Pythagorean Theorem.

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