# SRJC Course Outlines

 9/28/2023 5:13:25 AM MATH 25 Course Outline as of Fall 2021 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 25 Title:  PRECALCULUS ALGEBRA Full Title:  Precalculus Algebra Last Reviewed:2/8/2021

 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 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
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:

Catalog Description:
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College algebra topics, including equations, expressions, functions, inverse functions, graphs, applications, complex numbers, sequences and series.

Prerequisites/Corequisites:
Completion of MATH 156 or MATH 154 or MATH 155 or AB705 placement into Math Tier 3 or higher

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
College algebra topics, including equations, expressions, functions, inverse functions, graphs, applications, complex numbers, sequences and series.

Prerequisites:Completion of MATH 156 or MATH 154 or MATH 155 or AB705 placement into Math Tier 3 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 1981 Inactive: Area: BMC Communication and Analytical ThinkingMath 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

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.

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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
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 outside of class (0-60 pages per week)
2. Problem sets (1-8 per week)
3. Quiz(zes) (0-4 per week)
4. Project(s) (0-10)
5. Exams (2-6)
6. Final exam