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
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
As time permits, instructors may elect to include any of the following:
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
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
September 22, 2006
June 20, 2015