Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: MATH 52B
Full Course Title: Intermediate Algebra Second Half
Short Title: Interm Algebra II
TOP Code: 1701.00 - Mathematics, General
Effective Term: Fall 2009

### Course Standards

Course Type: Credit - Degree Applicable
Units: 3.0
Lecture hours: 54.0
Repeatable: No

### Course Description

Intermediate algebra. Topics include: quadratic equations and functions, exponential and logarithmic functions, conic sections, linear systems in three variables, nonlinear systems, and variation. Designed for a variety of students, including those who have been unsuccessful in Math 52, are math anxious, or desire a slower paced, year-long version of Math 52. Intended to provide students with additional exposure to algebraic concepts and additional time to practice them. This course is the second half of lntermediate Algebra. Math 52A and Math 52B must both be taken to be equivalent to Math 52 for courses that require Math 52 as a prerequisite, or to meet a degree requirement.

### Conditions of Enrollment

Satisfactory completion of: MATH 52A or EQUIVALENT -

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

### Content

Course Lecture Content
1. Introduction
1. Function notation and inverses.
2. Exponential expressions
3. Logarithmic expressions
2. Solving Equations
1. Solve quadratic equations by methods other than factoring
2. Solve exponential and logarithmic equations
3. Solve linear systems in three variables
4. Solve nonlinear system
3. Applications
1. Conic sections
2. Variation
3. Exponential growth and decay

### Objectives

1. Solve quadratic equations which do not factor. **Requires Critical Thinking**

2. Solve nonlinear inequalities in one variable. **Requires Critical Thinking**

3. Generate graphs of quadratic functions. **Requires Critical Thinking**

4. Manipulate and simplify exponential and logarithmic functions. **Requires Critical Thinking**

5. Solve exponential and logarithmic equations.

6. Generate graphs of parabolas, circles, ellipses and hyperbolas.

7. Solve linear systems in three variables.

8. Solve nonlinear systems.

9. Solve variation applications

None

### Methods of Instruction

• Lecture/Discussion

### Assignments

Writing Assignments
Other Assignments

• Exams
• Homework
• Quizzes

### Course Materials

Textbooks:
1. Martin-Gay. Beginning and Intermediate Algebra, 4th ed. Pearson/Prentice Hall, 0, ISBN: -
Equivalent text is acceptable