Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: MATH 52
Full Course Title: Intermediate Algebra
Short Title: Interm Algebra
TOP Code: 1701.00 - Mathematics, General
Effective Term: Spring 2017

### Course Standards

Course Type: Credit - Degree Applicable
Units: 4.0
Total class hours: 216.0
Total contact hours in class: 72.0
Lecture hours: 72.0
Hours outside of class: 144.0
Repeatable: No

### Minimum Qualifications for Instructors

• Mathematics (Masters Required)

### Course Description

To prepare students to take transfer-level mathematics or statistics courses. Topics include: real and complex numbers; factoring of polynomials; rational and radical expressions and equations; functions (general); linear, quadratic, exponential, and logarithm functions and equations; graphs; distance, midpoint, and circles in the Cartesian plane; application problems.

### Conditions of Enrollment

Satisfactory completion of: MATH 101 or MATH 101B or (Placement Exam Score)Qualifying score on the mathematics placement test. To allow the student who is prepared for Math 52 not to take the prerequisite course.

• Language - recommended eligibility for English 1A
To be able to read and understand the textbook. To be able to read and understand word problems.

### Content

Course Lecture Content
1. Basic operations
2. Multiplication and division
3. Powers (rational exponents) and nth roots of real numbers
4. The order of operations
2. Introduction to complex numbers
2. Multiplication and division
3. Powers (nonnegative integer exponents)
3. Factor polynomials
4. Rational expressions
1. Simplify
3. Multiply and divide
4. Evaluate
1. Simplify
3. Multiply and divide
4. Rationalize numerator or denominator
6. Functions
1. Function notation
3. Multiply and divide
4. Compose
5. Invert
6. Evaluate
7. Graph
7. Quadratic functions and their graphs
8. Exponential and logarithm functions
1. Graphs
2. Properties
3. Relation between exponential and logarithm
4. Change of base of logarithm
9. Nonlinear equations in one variable
1. Solve by factoring
2. Solve by changing variables (including equations of quadratic type)
10. Quadratic equations in one variable
1. Solve by completing the square
2. Solve using the quadratic formula
11. Equations in one variable that contain rational or radical expressions
12. Equations in one variable that contain exponential or logarithm function
13. Distance and midpoint between two points in the Cartesian plane
14. Circles
1. Graph
2. Equation
15. Applications that require one equation or a system of two equations
1. Perimeter
2. Area
3. Proportion
4. Direct and inverse variation
5. Distance-rate-time
6. Mixture
7. Job-rate
8. Pythagorean theorem
16. OPTIONAL: Nonlinear inequalities in one variable.

### Objectives

1. Perform basic operations.

2. Factor polynomials.

3. Manipulate rational expressions.

5. Translate between rational exponent notation and radical notation.

6. Add, subtract, multiply, divide, compose, invert, evaluate, and graph functions; use function notation.

7. Graph quadratic, exponential, and logarithm functions.

8. Solve equations in one variable. **Requires Critical Thinking**

9. Solve quadratic equations and equations of quadratic type. **Requires Critical Thinking**

10. Find the distance and midpoint between two points in the Cartesian plane.

11. Analyze circles.

12. Solve applications that require one equation or a system of two equations. **Requires Critical Thinking**

### Student Learning Outcomes

1. Factor a polynomial expression.
2. Demonstrate understanding of logarithmic properties.
3. Perform operations on rational expressions.
4. Analyze and graph a quadratic function.
5. Solve a problem involving exponential equations.
6. Solve a problem involving quadratic equations.
7. Perform operations on radical expressions.

### Methods of Instruction

• Lecture/Discussion

Delivery Methods
• Online

### Assignments

Writing Assignments
Other Assignments

A selection of problems from the end of each section of the textbook.

### Methods of Evaluation

• Exams
• Homework
• Oral Tests/Class Performance
• Quizzes
• Other
Skills test

### Course Materials

Textbooks:
1. Martin-Gay, Elayn. Beginning & Intermediate Algebra – A Custom Edition for the Yuba Community College District, 1st custom ed ed. Pearson Learning Solutions, 2012, ISBN: 1256811173
Equivalent text is acceptable
Other:
1. Scientific calculator: Texas Instruments TI-30X IIS