Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: MATH 20
Full Course Title: College Algebra
Short Title: College Algebra
TOP Code: 1701.00 - Mathematics, General
Effective Term: Spring 2013

### 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

College level course in algebra for majors in science, technology, engineering, and mathematics. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions, systems of equations, theory of polynomial equations, and analytic geometry.

### Conditions of Enrollment

Satisfactory completion of: MATH 52 or MATH 52B or (Placement Exam Score)a satisfactory score on the mathematics placement test Student can placed in this class by taking the a satisfactory score on the placement test.

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

### Content

Course Lecture Content
1. Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic:their definitions, evaluation, domain and range
2. Inverses of functions
3. Algebra of functions
4. Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions and conic sections
5. Graphs of functions including asymptotic behavior, intercepts, vertices
6. Equations including rational, linear, polynomial, radical, exponential, absolute value, and logarithmic
7. Linear, nonlinear, and absolute value inequalities
8. Systems of equations and inequalities
9. Characterization of the zeros of polynomials
10. Properties and applications of complex numbers
11. Properties of conic sections
12. Sequences and series.

### Objectives

1. Analyze and investigate properties of functions; **Requires Critical Thinking**

2. Synthesize results from the graphs and/or equations of functions;

3. Apply transformations to the graphs of functions;

4. Recognize the relationship between functions and their inverses graphically and algebraically;

5. Solve and apply rational, linear, polynomial, radical, absolute value, exponential, and logarithmic equations and solve linear, nonlinear, and absolute value inequalities;

6. Solve systems of equations and inequalities;

7. Apply techniques for finding zeros of polynomials and roots of equations;

8. Apply functions and other algebraic techniques to model real world Science, Technology, Engineering, and Mathematics (STEM)applications; **Requires Critical Thinking**

9. Analyze conics algebraically and graphically; and **Requires Critical Thinking**

10. Use formulas to find sums of finite and infinite series.

### Student Learning Outcomes

1. Demonstrate the knowledge to solve and apply equations including quadratic, rational, radical, exponential and logarithmic expressions. (CRT/CMT)
2. Define, recognize, and solve sequence and series problems.(CRT/CMT)

### Methods of Instruction

• Lecture/Discussion

Delivery Methods

### Assignments

Writing Assignments

### Methods of Evaluation

• Exams
• Homework
• Portfolio
• Problem Solving Exercises
• Quizzes
• Other
Group or Individual projects

### Course Materials

Textbooks:
1. Larson. College Alegbra , 8th Ed ed. Brooks/Cole, 2011, ISBN: 978-1-4390-4869-6
Equivalent text is acceptable