Yuba Community College District

Yuba College Course Outline

Course Information

Course Number: MATH 58
Full Course Title: Quantitative Reasoning
Short Title: Quantitative Reason
Effective Term: Fall 2012

Course Standards

Lecture Hours: 54.000
Total Units: 3.000
Total Hours: 54.00
Repeatable: No
Grading Method: Letter Grade Only

Course Description

Interpretation of and reasoning with quantitative information. Coverage of logic; units analysis; uses and abuses of percentages, ratios, and indices; financial management; and statistics. This course satisfies the AA and AS degree requirement but does not satisfy the prerequisite for a transferable math course. (L,M)

Conditions of Enrollment

Completion with a C or better in: MATH 50



Course Lecture Content
  1. Logic and anlysis of arguments that use numbers
  2. Units analysis and unit conversions
  3. Problem solving strategies
  4. Uses and abuses of  percentages, ratios, indices, tables, and graphs
  5. Error analysis
  6. Financial mangement
  7. Statistical reasoning


  1. Identify an argument's premises and conclusions.

  2. Recognize fallacious arguments. **Requires Critical Thinking**

  3. Use Venn diagrams

  4. Evaluate arguments that use numbers.

  5. Identify and convert units.

  6. Use units to check answers. **Requires Critical Thinking**

  7. Apply strategies for problem solving.

  8. Solve problems that use percentages, ratios, indices, tables or graphs and identify abuses.

  9. Identify sources of error. **Requires Critical Thinking**

  10. Apply rounding rules.

  11. Identify contingency table errors.

  12. Use different interest formulas

  13. Use different types of investments.

  14. Explain bond yield

  15. Calculate loan payments.

  16. Use budget principles.

  17. Recognize different sampling methods.

  18. Interpret different statistical graphs.

  19. Distinguish between correlation and causality. **Requires Critical Thinking**

  20. Calculate measure of center and variation.

  21. Recognize conditions under which a normal distribution can be expected.

  22. Conduct a basic hypothesis test. **Requires Critical Thinking**

Student Learning Outcomes

  1. Critical Thinking – Differentiate fallacious and valid arguments.

Methods of Instruction


Hours per week on assignments outside of the class:

Reading Assignments
Writing Assignments
Other Assignments


Methods of Evaluation

Course Materials

  1. Bennett and Briggs. Using and Understanding Mathematics: A Quantitative Reasoning Approach, 4th ed. Addison Wesley, 2007, ISBN: 13: 978-0321458209