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Mathematics 138

MATH 138: Precalculus

Prerequisites: A minimum of two years of high school algebra (or equivalent)

Credit Hours: (3)

Basic concepts of functions and related real number algebra and graphing, especially polynomial, exponential and logarithmic functions; elements of trigonometry. Will not satisfy requirements for a major in mathematics. This course has been approved for Core Curriculum credit in Mathematical Sciences.

 

Detailed Description of Content of the Course

The following topics in mathematics will be covered:

1. Short review of basic algebra of real numbers

2. Functions, domains and ranges, inverse functions

3. Linear, quadratic, polynomial and rational functions.

4.  Exponentials and logarithms

5.  Trigonometry

    (a) the six trigonometric functions

    (b) basic trigonometric identities

    (c) graphs of trigonometric functions

 

Detailed Description of Conduct of Course

The course follows a traditional lecture format. In all sections students will be asked to work problems assigned as homework. Class discussions centers around these problems. Work with scientific or graphing calculators will be included. Mathematical software may be required.

 

Goals and Objectives of the Course

Students are expected to develop skills and a knowledge base which will prepare them for study in calculus.

Students will be able to use the tools of mathematics and quantitative reasoning to conceptualize and solve problems.

Students will be able to:

a. identify and interpret relationships among numeric, symbolic, and graphical information

b. generate mathematical models using numeric, symbolic, and graphical information for use in real-world applications

c. solve problems using numeric, symbolic, and graphical information

 

Assessment Measures

Grades are based on performance on in-class tests, possible homework assignments and competence as displayed on a final exam.

 

Other Course Information

The course is intended for majors in mathematics or statistics or any of the sciences.

 

Review and Approval

Sept. 2001 Review Stephen Corwin, Chair

Revised: March 21, 2012