| 5/9/2025 3:45:46 PM |
| 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
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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Topics from college algebra, including analytic geometry, functions and their graphs, complex numbers, sequences and series.
Prerequisites/Corequisites:
Completion of MATH 154 or MATH 155 or higher; or Qualifying Placement from Math Assessment.
See Student Success & Assessment Services (assessment.santarosa.edu) for more information about the assessment process.
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Topics from college algebra, including analytic geometry, functions and their graphs, complex numbers, sequences and series.
(Grade Only)
Prerequisites:Completion of MATH 154 or MATH 155 or higher; or Qualifying Placement from Math Assessment.
See Student Success & Assessment Services (assessment.santarosa.edu) for more information about the assessment process.
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:
Both Certificate and Major Applicable
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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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 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, 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, logarithmic functions) over the real numbers; and, as appropriate, the
complex numbers.
6. Graph circles, piecewise-defined functions, and parametric equations.
7. Perform operations with complex numbers.
Topics and Scope
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I. Equations and Inequalities
A. Graphical and algebraic solutions to radical and quadratic form equations, and to absolute
value equations and inequalities
B. Solutions to systems of nonlinear 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
H. Even and odd functions
I. Shifts
J. Scaling
K. Reflections
L. 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. 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. Parametric equations
Assignments:
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1. Daily reading outside of class (20-50 pages per week)
2. Homework assignments (1-4 per week)
3. Quizzes (0-4 per week)
4. Exams (3-8)
5. Projects (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
5 - 20% |
| Homework assignments | |
| 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 Enhanced with Graphing Utilities. 7th ed. Sullivan, Michael and Sullivan III, Michael. Prentice Hall. 2016
College Algebra. 7th ed. Stewart, James and Redlin, Lothar and Watson, Saleem. Cengage L. 2015
Precalculus. 3rd corrected ed. Stitz, Carl and Zeager, Jeffrey. Open Source Text. 2013 (classic)
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