SRJC Course Outlines

9/28/2020 9:28:57 PMMATH 25 Course Outline as of Fall 2021

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 25Title:  PRECALCULUS ALGEBRA  
Full Title:  Precalculus Algebra
Last Reviewed:1/27/2020

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum3.00Lecture Scheduled3.0017.5 max.Lecture Scheduled52.50
Minimum3.00Lab Scheduled06 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total3.00 Contact Total52.50
 
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  105.00Total 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:
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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 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, graphs, applications, complex numbers, sequences and series.
(Grade Only)

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:B
MC
Communication and Analytical Thinking
Math Competency
 
CSU GE:Transfer Area Effective:Inactive:
 B4Math/Quantitative ReasoningFall 2006
 
IGETC:Transfer Area Effective:Inactive:
 2AMathematical Concepts & Quantitative ReasoningFall 2006
 
CSU Transfer:TransferableEffective:Fall 2006Inactive:
 
UC Transfer:TransferableEffective:Fall 2006Inactive:
 
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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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: Untitled document
Students will 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 outside of class (0-60 pages per week)
2. Problem sets (1-8 per week)
3. Quizzes (0-4 per week)
4. Project(s) (0-10)
5. Exams (2-6)
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
5 - 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 - 95%
Quizzes, exams and final exam
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 10%
Projects


Representative Textbooks and Materials:
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College Algebra. 11th ed. Sullivan, Michael. Pearson. 2020
 
College Algebra. 7th ed. Stewart, James and Redlin, Lothar and Watson, Saleem. Cengage L. 2016 (classic)
 
Precalculus. 3rd corrected ed. Stitz, Carl and Zeager, Jeffrey. Open Source Text. 2013 (classic)

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