| 10/17/2026 3:53:16 PM |
| Changed Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 25 | Title:
PRECALCULUS ALGEBRA |
|
| Full Title:
Precalculus Algebra |
| Last Reviewed:10/20/2025 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 4.00 | Lecture Scheduled | 4.00 | 17.5 max. | Lecture Scheduled | 70.00 |
| Minimum | 4.00 | Lab Scheduled | 0 | 6.5 min. | Lab Scheduled | 0 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 4.00 | | Contact Total | 70.00 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 140.00 | Total Student Learning Hours: 210.00 | |
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:
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Students will learn college algebra topics, including equations, expressions, functions, inverse functions, graphs, applications, complex numbers, sequences and series.
Prerequisites/Corequisites:
Concurrent Enrollment in or Completion of MATH 225 OR Course Completion of MATH 154 OR Course Completion of MATH 156 OR appropriate AB705 Math Tier 1 or higher
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Students will learn college algebra topics, including equations, expressions, functions, inverse functions, graphs, applications, complex numbers, sequences and series.
(Grade Only)
Prerequisites:Concurrent Enrollment in or Completion of MATH 225 OR Course Completion of MATH 154 OR Course Completion of MATH 156 OR appropriate AB705 Math Tier 1 or higher
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 2025
| Inactive: | |
| Area: | B
L2
MC
| Communication and Analytical Thinking
Mathematical Concepts & Quantitative Reasoning
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:
Both Certificate and Major Applicable
Approval and Dates
| Version: | 08 | Course Created/Approved: | 10/10/2005 |
| Version Created: | 4/7/2022 | Course Last Modified: | 10/21/2025 |
| Submitter: | Tim Melvin | Course Last Full Review: | 10/20/2025 |
| Version Status: | Approved Changed Course | Prereq Created/Approved: | 10/20/2025 |
| Version Status Date: | 10/20/2025 | Semester Last Taught: | |
| Version Term Effective: | Fall 2026 | Term Inactive: | |
COURSE CONTENT
Student Learning Outcomes:
At the conclusion of this course, the student should be able to:
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1. Perform advanced operations with polynomial, rational, absolute value, radical, exponential, and logarithmic functions. Understand the characteristics and graphs of these functions and apply knowledge to modeling problems.
2. Define and graph inverse functions.
3. Solve selected algebraic equations analytically over the complex numbers, and solve polynomial, rational, absolute value, radical, exponential, and logarithmic equations graphically and analytically over the real numbers.
Objectives:
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At the conclusion of this course, the student should be able to:
1. Perform advanced operations with functions (using symbolic, graphical, and numerical representations) and apply knowledge to application and modeling problems.
2. Define and graph inverse functions.
3. Identify and interpret characteristics of functions (intercepts, turning points, extreme values, intervals of positive/negative, increasing/decreasing value, transformations, symmetry, asymptotes, and holes).
4. Graph polynomial, rational, absolute value, radical, exponential, and logarithmic functions.
5. Solve equations symbolically and graphically (polynomial, rational, absolute value, radical, exponential, and logarithmic functions) over the real numbers; and, as appropriate, the complex numbers.
6. Graph piecewise-defined functions.
7. Perform operations with complex numbers in rectangular form.
Topics and Scope
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I. Equations and Inequalities
A. Graphical and algebraic solutions to radical and quadratic form equations
B. Graphical and algebraic solutions to absolute value equations and inequalities
II. Complex Numbers
A. Definition
B. Operations
III. Analysis of Functions and Their Graphs
A. Definition
B. Notation
C. Domain
D. Range
E. Operations, including difference quotients and composition of functions
F. Catalog of functions
G. Symmetry (even and odd functions)
H. Transformations of graphs (shifts, scaling, reflections)
I. Modeling
IV. Polynomial and Rational Functions
A. Linear, quadratic, polynomial functions of higher degree and their graphs
B. Long division of polynomials
C. Graphs of rational functions
D. Asymptotes and holes
E. Introduction to limit concepts and notation
F. Solutions of polynomial and rational equations and inequalities, using real numbers and complex numbers as appropriate
V. Inverse, Exponential and Logarithmic Functions
A. Definitions
B. Properties
C. Graphs
D. Equations
E. Applications
VI. Sequences and Series
A. Introduction to finite and infinite sequence and series (sigma) notation
B. Finite and infinite geometric sequences and series
C. Summation of powers of integers
D. Binomial expansion
1. Factorial notation
2. Pascal's triangle and/or binomial coefficients
Assignments:
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1. Reading assignments (0-60 pages per week)
2. Problem set(s) (1-8 per week)
3. Quiz(zes) (0-4 per week)
4. Exams (2-6)
5. Project(s) (0-10)
6. Final exam
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
10 - 20% |
| Problem sets | |
| 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 - 90% |
| Quiz(zes); exams; final exam | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 10% |
| Project(s) | |
Representative Textbooks and Materials:
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College Algebra. 11th ed. Sullivan, Michael. Pearson. 2020.
College Algebra. 8th ed. Stewart, James and Redlin, Lothar and Watson, Saleem. Cengage L. 2024.
OTHER REQUIRED ELEMENTS
| Student Preparation |
| Matric Assessment Required: | M | Requires Math Assessment |
| Prerequisites-generate description: | U | User Generated Text |
| Advisories-generate description: | NA | No Advisory |
| Prereq-provisional: | Y | YES |
| Prereq/coreq-registration check: | Y | Prerequisite Rules Exist |
| Requires instructor signature: | N | Instructor's Signature Not Required |
| | | |
| BASIC INFORMATION, HOURS/UNITS & REPEATABILITY |
| Method of instruction: | 02 | Lecture |
| Area department: | MATH | Mathematics |
| Division: | 73 | Science, Technology, Engineering & Mathematics |
| Special topic course: | N | Not a Special Topic Course |
| Program Status: | 1 | Both Certificate and Major Applicable |
| Repeatability: | 00 | Two Repeats if Grade was D, F, NC, or NP |
| Repeat group id: | | |
| | | |
| SCHEDULING |
| Audit allowed: | N | Not Auditable |
| Open entry/exit: | N | Not Open Entry/Open Exit |
| Credit by Exam: | N | Credit by examination not allowed |
| Budget code: Program: | 0000 | Unrestricted |
| Budget code: Activity: | 1701 | Mathematics-General |
| | | |
| OTHER CODES |
| Disciplines: | Mathematics |
| Basic Skills: | N | Not a Basic Skills Course |
| Level below transfer: | Y | Not Applicable |
| CVU/CVC status: | N | Not Distance Ed |
| Distance Ed Approved: | N | |
| Emergency Distance Ed Approved: | Y | Fully Online
Partially Online
Online with flexible in-person activities
|
| Credit for Prior Learning: | N | Agency Exam |
| N | CBE |
| N | Industry Credentials |
| N | Portfolio |
| Non-credit category: | Y | Not Applicable, Credit Course |
| Classification: | Y | Liberal Arts and Sciences Courses |
| SAM classification: | E | Non-Occupational |
| TOP code: | 1701.00 | Mathematics, General |
| Work-based learning: | N | Does Not Include Work-Based Learning |
| DSPS course: | N | NO |
| In-service: | N | Not an In-Service Course |
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