# SRJC Course Outlines

5/10/2021 8:30:58 PM | MATH 25 Course Outline as of Fall 2008
| Changed Course |

CATALOG INFORMATION |
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Discipline and Nbr: MATH 25 | Title: COLLEGE ALGEBRA | |

Full Title: College 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 |

Grading: Grade Only

Repeatability: 00 - Two Repeats if Grade was D, F, NC, or NP

Also Listed As:

Formerly:

**Catalog Description:**

Topics from college algebra, including analytic geometry, functions and their graphs, complex numbers, sequences and series.

**Prerequisites/Corequisites:**

Completion of MATH 155 or higher (V1)

**Recommended Preparation:**

**Limits on Enrollment:**

**Schedule of Classes Information**

Description:

Topics from college algebra, including analytic geometry, functions and their graphs, complex numbers, sequences and series.

(Grade Only)

Prerequisites:Completion of MATH 155 or higher (V1)

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 |
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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:**

Upon completion of the course, students will be able to:

Upon completion of the course, students will be able to:

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. Define and apply characteristics of functions (including

intercepts, turning points, intervals of positive/negative,

increasing/decreasing value, transformations, symmetry) in graphing

polynomial, rational, absolute value, radical, exponential, and logarithmic

functions.

4. Solve selected algebraic equations over the complex numbers.

5. Solve algebraic equations graphically and symbolically, including

absolute value, polynomial, radical, rational, logarithmic, and

exponential.

6. Graph circles, functions, and parametric equations.

7. Graph asymptotes and recognize a hole in the graph.

8. Perform operations with complex numbers.

**Topics and Scope**

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 with complex numbers

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 of graphs, along with modeling

IV. Polynomial and Rational Functions

A. Linear, quadratic, polynomial functions of higher degree and

their graphs

B. Graphs of rational functions

C. Asymptotes and holes

D. Introduction to limit concepts and notation

E. 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:**

1. Daily reading outside of class (approximately 20-50 pages per week).

2. Problem set assignments from required text(s) or supplementary

materials chosen by the instructor (approximately 1-6 per week).

3. Quizzes (approximately 0-4 per week).

4. Exams (approximately 3-8 per term).

5. Projects (for example, computer explorations or modeling activities,

approximately 0-10 per term).

**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% |
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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% |
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Homework problems | |||

Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations 0 - 0% |
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None | |||

Exams: All forms of formal testing, other than skill performance exams. | Exams 70 - 95% |
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Multiple choice and free response exams; quizzes | |||

Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category 0 - 10% |
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Projects |

**Representative Textbooks and Materials:**

College Algebra Enhanced with Graphing Utilities (5th ed.). Sullivan, Michael and

Sullivan III, Michael. Prentice Hall: 2009.