# Mathematics 137

MATH 137: College Algebra

Credit Hours: (3)

A systematic approach to the concepts of algebra. Topics include basic properties of numbers systems, equations and inequalities, systems of equations, functions and graphs, polynomials and rational functions, exponentials and logarithms.

Note(s): Will not satisfy requirements for a major or a minor in mathematics. Credit for MATH 137 will not be granted after a student has received credit for any of the following: MATH 126, MATH 138, MATH 151, MATH 152, MATH 251, MATH 252 or the equivalent transfer course. Students who have earned credit for MATH 104 may not subsequently earn credit for MATH 137. This course has been approved for Core Curriculum credit in Mathematical Sciences.

Detailed Description of Content of Course

I. Fundamental Concepts
A. Exponents
C. Fractions
D. Factoring
II. Equations and Inequalities
A. Basic linear equations with applications.
B. Equations of degree greater than one, with applications such as maximum-minimum problems.
C. Elementary inequalities.
III. Functions and Graphs
A. A study of functions and relations
B. Curve sketching for linear functions and polynomials and the reading of graphs.
IV. Polynomial and Rational Functions
A. Finding roots and factors
B. Asymptotes

As time permits, instructors may elect to include any of the following:
Complex Numbers**
Exponentials and Logarithms*
1. Exponential growth
2. Properties of the logarithm
3. Solving exponential equations
Systems of Equations*
1. Method of elimination
2. Matrix methods

Detailed Description of Conduct of Course

Most instructors will use the lecture method. Some may require students to work together in small groups. Calculators and/or computational software will be used appropriately. In all sections students will be asked to work problems assigned as homework.

Goals and Objectives of the Course

Students will be able to use the tools of mathematics and quantitative reasoning to conceptualize and solve problems. Students will be able to:
1) Interpret relationships among numeric, symbolic, and graphical information as applied to the real world
2) Solve problems using numeric, symbolic, and graphical information

Assessment Measures

Graded tasks may include tests, quizzes, homework exercises, class participation, and attendance.

Other Course Information

May be taken to fulfill general education requirements in mathematics.

Review and Approval

2013

September 22, 2006

June 20, 2015