MATH 137
College Algebra
Catalog Entry
MATH 137. College Algebra
Three hours lecture (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. 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, 138, 151, 152, 251, 252 or the equivalent transfer course. Students who have received credit for MATH 104 may not subsequently earn credit for MATH 137. This course has been approved for credit in the Mathematical Sciences Area of the Core Curriculum.
Detailed Description of Content of Course
I. Fundamental Concepts
A. Exponents
B. Radicals
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
V. Exponentials and Logarithms
- Exponential growth
- Properties of the Logarithm
- Solving exponential equations.
VI. Systems of Equations
A. Method of Elimination
B. 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
The student is expected to develop an understanding of, and skills in, fundamental algebraic techniques.
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
Revised 09/22/06
