Liberal Arts Mathematics

Lessons

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

Schedules

• Course Schedule - 16-Week Online
• Course Schedule - 12-Week Online

Projects

• Project 1 - PDF - Word
• Project 2 - PDF - Word
• Project 3 - PDF - Word

OER Materials

• OpenStax - Contemporary Mathematics
• David Lippman - Math in Society

Corequisite Materials

• Blackboard Assignments - Google Docs

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.