COURSE SYLLABUS

 

Ohio Northern University

College of Arts and Sciences

Department of Mathematics

 

 

                                                                                    Date: Fall, Winter, Spring 2005-06

 

Course  MATH - 120              Name:  College Algebra

 

Credit hours:   4                      Lecture hours/week: 4             Lab hours/week:  0

 

Instructor:     Staff

 

Usual student level:     Freshman

 

Course required of students in:

 

Course frequency per year:     Offered fall, winter, spring

 

Average enrollment per year:     160-180

 

This course has a prerequisite:     two years of high school algebra

 

This course is a prerequisite for:          MATH 122 College Trigonometry,

                                                            MATH 154 Calculus for Life Science 1

                                                            MATH 156 Biostatistics 1

 

Catalogue Description:

 

The real number system, equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions.  Not open for credit to students who have received a grade of C or higher in any calculus course.

 

Course Objectives:

 

To provide students with additional preparation in algebra prior to their enrollment in calculus or another required mathematics course.

 

Textbook:  College Algebra with Trigonomtery Graphs and Models, 1/e, by Barnett, Ziegler, and Byleen, McGraw-Hill, 2005

 

Outline of content follows:

        (see attached)

Course Outline

MATH - 120

Title:  College Algebra

 

Chapter 1        Functions, Graphs, and Models

            Using Graphing Utilities

            Functions

            Functions, Graphs, and Properties

            Functions, Graphs, and Transformations

            Operations on Functions; Composition

            Inverse Functions

Chapter 2        Modeling with Linear and Quadratic Functions

            Linear Functions

            Linear Equations and Models

            Quadratic Functions

            Complex Numbers

            Quadratic Equations and Models

            Additional Equation Solving Techniques

            Solving Inequalities

Chapter 3        Polynomial and Rational Functions

            Polynomial Functions and Models

            Real Zeros and Polynomial Inequalities

            Complex Zeros and Rational Zeros of Polynomials

            Rational Functions and Inequalities

Chapter 4        Exponential and Logarithmic Functions

            Exponential Functions

            Exponential Models (optional)

            Logarithmic Functions

            Logarithmic Models (optional)

            Exponential and Logarithmic Equations

Testing and Review                                                                                       

TOTAL                                                                                                           39 classes

 

Comments:

1.         A steady pace must be maintained if all of the material in this syllabus is to be covered in one four credit course.

2.         Appendix A of the text contains a review of elementary algebra.  Although this material is prerequisite to the course, most of the students will need to review some of these topics.  This review should be integrated into the course as needed.  Be sure to avoid getting bogged down in review material.

3.         Appropriate use of graphing calculators is encouraged.  The textbook does a good job of integrating this technology.  At a minimum the students should learn how to graph functions and equations and to approximate zeros of functions and solutions of equations with a graphing calculator.