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

### 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

• Language - recommended eligibility for English 1A
• Mathematics - recommended eligibility for Math 52

### Content

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

### Objectives

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

• Lecture/Discussion

### Assignments

Hours per week on assignments outside of the class:

Writing Assignments
Other Assignments

Homework

### Methods of Evaluation

• Exams
• Homework
• Quizzes
• Research Project

### Course Materials

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