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
Lecture hours: 72.0
Repeatable:
No
Grading Method:
Letter Grade Only
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.
Advisories

Language  recommended eligibility for English 1A

Mathematics  recommended eligibility for Math 52
Content
Course Lecture Content
 Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic:their definitions, evaluation, domain and range
 Inverses of functions
 Algebra of functions
 Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions and conic sections
 Graphs of functions including asymptotic behavior, intercepts, vertices
 Equations including rational, linear, polynomial, radical, exponential, absolute value, and logarithmic
 Linear, nonlinear, and absolute value inequalities
 Systems of equations and inequalities
 Characterization of the zeros of polynomials
 Properties and applications of complex numbers
 Properties of conic sections
 Sequences and series.
Objectives

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

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

Apply transformations to the graphs of functions;

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

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

Solve systems of equations and inequalities;

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

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

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

Use formulas to find sums of finite and infinite series.
Student Learning Outcomes
 Demonstrate the knowledge to solve and apply equations including quadratic, rational, radical, exponential and logarithmic expressions. (CRT/CMT)
 Define, recognize, and solve sequence and series problems.(CRT/CMT)
Methods of Instruction

Lecture/Discussion
Distance Education
Delivery Methods
 Broadcast Education
Assignments
Reading Assignments
Writing Assignments
Methods of Evaluation
 Exams
 Homework
 Portfolio
 Problem Solving Exercises
 Quizzes

OtherGroup or Individual projects
Course Materials
Textbooks:

Larson. College Alegbra , 8th Ed ed. Brooks/Cole, 2011, ISBN: 9781439048696Equivalent text is acceptable