# SRJC Course Outlines

 5/24/2022 11:33:26 PM MATH 25 Course Outline as of Summer 2019 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 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
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, and graphs. Also includes parametric equations, complex numbers, sequences and series.

Prerequisites/Corequisites:
Completion of MATH 156 or MATH 154 or MATH 155 or appropriate placement based on AB 705 mandates

Recommended Preparation:

Limits on Enrollment:

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

Prerequisites:Completion of MATH 156 or MATH 154 or MATH 155 or appropriate placement based on AB 705 mandates
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:
Upon completion of the course, students will be able to:
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exponential, and logarithmic), understand the characteristics and graphs of these functions,
and apply knowledge to modeling problems.
2.  Define and graph inverse functions and parametric equations.
3.  Solve selected algebraic equations symbolically over the complex numbers, and solve
polynomial, rational, absolute value, radical, exponential, and logarithmic equations
graphically and symbolically over the real numbers.

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During this course, students will:
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 (including 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 (involving polynomial, rational, absolute value,
radical, exponential, and logarithmic functions) over the real numbers; and, as appropriate,
the complex numbers.
6. Graph piecewise-defined functions and parametric equations.
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
C. Parametric equations
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. Quizzes (0-4 per week)
4. Projects (0-10)
5. Exams (2-6)
6. Final exam