Chris Sears

Liberal Arts Mathematics

Lesson List

  1. Percentage and Taxes
  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. Other Paradoxes and Apportionment Methods
  13. Voting Methods
  14. Defects in Voting Methods
  15. Introduction to Counting Methods
  16. The Fundamental Counting Principle
  17. Permutations and Combinations
  18. Probability Theory
  19. Complements and Unions of Events
  20. Conditional Probability and Intersections of Events
  21. Organizing and Visualizing Data
  22. Measures of the Center
  23. Measures of Dispersion
  24. The Normal Distribution

Textbook Sections and Homework Problems

EKCC Notes

Textbook Sections
Weekly Schedule
Weekly Schedule for Supplemental Lab

Schedules

Projects

This section is currently under revision.

Official Textbook for My Classes

Mathematics All Around 6e - Tomas Pirnot (ISBN: 9780134434681)

In-the-Works Textbook

OpenStax Contemporary Mathematics - Donna Kirk (ISBN: 9781951693688)

Open Educational Resources for Liberal Arts Mathematics

The following links are to OER Commons.

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.