4/28/2024 1:21:18 PM	MATH 25 Course Outline as of Fall 2006	New Course (First Version)
CATALOG INFORMATION
Discipline and Nbr:  MATH 25	Title:  COLLEGE ALGEBRA
Full Title:  College Algebra
Last Reviewed:2/8/2021

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	3.00	Lecture Scheduled	3.00		17.5 max.	Lecture Scheduled	52.50
Minimum	3.00	Lab Scheduled	0		6 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	3.00			Contact Total	52.50
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  105.00

Total Student Learning Hours: 157.50

Title 5 Category:  AA Degree Applicable
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

Topics from college algebra, including analytic geometry, functions and their graphs, complex numbers, sequences and series.

Prerequisites/Corequisites:
Completion of MATH 155 or higher (V1)

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: (Grade Only)
Prerequisites:Completion of MATH 155 or higher (V1)
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:	Fall 1981	Inactive:
Area:	B MC	Communication and Analytical Thinking Math Competency
CSU GE:	Transfer Area			Effective:	Inactive:
	B4	Math/Quantitative Reasoning		Fall 2006
IGETC:	Transfer Area			Effective:	Inactive:
	2A	Mathematical Concepts & Quantitative Reasoning		Fall 2006
CSU Transfer:	Transferable	Effective:	Fall 2006	Inactive:
UC Transfer:	Transferable	Effective:	Fall 2006	Inactive:
C-ID:

Certificate/Major Applicable: Not Certificate/Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:

Upon successful completion of the course, students will be able to:

 1. Perform advanced operations with functions (using symbolic,

    graphical, and numerical representations) and apply knowledge to

    modeling problems.

 2. Define and graph inverse functions.

 3. Solve algebraic equations over the complex numbers.

 4. Define and apply characteristics of functions (including

    intercepts, turning points, intervals of positive/negative,

    increasing/decreasing value) in graphing polynomial, rational,

    algebraic, exponential, and logarithmic functions.

 5. Solve algebraic equations graphically and symbolically, including

    absolute value, polynomial, radical, rational, logarithmic, and

    exponential.

 6. Graph circles, functions, and parametric equations.

 7. Graph asymptotes and recognize a hole in the graph.

 8. Perform operations with complex numbers.

Topics and Scope

Instructional methodology may include, but is not limited to:  lecture,

demonstrations, oral recitation, discussion, supervised practice,

independent study, outside project or other assignments.

I.   Equations and Inequalities

    A. Graphical and algebraic solutions to radical and absolute

       value equations and inequalities

    B. Solutions to systems of equations and inequalities

II.  Complex Numbers

    A. Definition

    B. Operations with complex numbers

III. Analysis of Graphs of Functions

    A. Definition

    B. Notation

    C. Domain

    D. Range

    E. Operations and composition of functions

    F. Catalog of functions

    G. Symmetry

    H. Even and odd functions

    I. Shifts

    J. Scaling

    K. Reflections of graphs, along with modeling

IV.  Polynomial and Rational Functions

    A. Linear, quadratic, polynomial functions of higher degree and

       their graphs

    B. Graphs of rational functions

    C. Asymptotes

    D. Introduction to limit concepts and notation

    E. Solutions of polynomial and rational equations and

       inequalities

V.   Inverse, Exponential and Logarithmic Functions

    A. Definitions

    B. Properties

    C. Graphs

    D. Equations

    E. Applications

VI.  Sequences and Series

    A. Finite and infinite geometric sequences and series

    B. Summation of powers of integers

VII. Topics from Analytic Geometry

    A. Midpoint and distance formulas

    B. Circles

    C. Parabolas

    D. Parametric equations

Assignments:

1. Daily reading outside of class (approximately 0-50 pages per week),

2. Problem set assignments from required text(s),

3. Exams and quizzes,

4. Complete supplementary materials chosen by the instructor, OR

5. Projects.

Methods of Evaluation/Basis of Grade.

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.		Writing 0 - 0%
None
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 5 - 20%
Homework problems
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 0 - 0%
None
Exams: All forms of formal testing, other than skill performance exams.		Exams 70 - 95%
Multiple choice, Free response exams, quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 10%
Projects

Representative Textbooks and Materials:

College Algebra:  A Graphing Approach (4th ed.).  Larson, Ron; Hostetler,

Robert; Edwards, Bruce.  Houghton-Mifflin:  2005.

College Algebra (7th ed).  Sullivan, Michael.  Prentice Hall:  2005.

College Algebra:  A Graphing Approach (2nd ed.).  Williams, Gareth.

Brooks/Cole:  2005.

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