Course Abstract Details

XMATH-128, College Algebra

Credits: 4

This is a General Education Course

Course Description

MATH-128, College Algebra, provides the foundation needed to be successful in chemistry, physics, and trigonometry. The calculus sequence is intended for future mathematics/science majors. Topics include the real number system; algebraic expressions; equations and inequalities in one variable; systems of linear equations and inequalities; relations and functions; analysis of polynomial, power, rational, exponential, and logarithmic functions and their graphs. Problems will be solved through analytic, numerical, and graphical approaches with an emphasis on setting up and solving relevant application problems. Students who need to take MATH-135, Calculus of a Single Variable 1, will need to complete both MATH-128 and MATH-129 in a year long sequence or the rigorous one semester MATH-130 course. Prerequisites: exemption/completion of READ-099 with a "C" grade or better and a satisfactory score on the placement exam, or MAT-099 with a "C" grade or better. Credit by exam available. Graphing calculator required. See Mathematics Department web site for details. Four hours lecture each week. Four credits. Four billable hours. GENERAL EDUCATION

Course Objectives and Grading Information

MAJOR COURSE OBJECTIVES: Upon completion of this course, the student should be able to:

1. Solve linear, quadratic, rational, exponential, and logarithmic equations both graphically and analytically. (GE3, PG1, PG4)

2. Sketch, analyze, and determine the domains and ranges of the graphs of polynomial, power, rational, exponential, and logarithmic functions. (GE3, PG1)

3. Identify and graph shifts, reflections and transformations of functions. (GE3, PG1)

4. Find the inverses of functions algebraically as well as graphically. (GE3, PG1)

5. Determine the zeros of polynomial functions, both algebraically and graphically. (GE3, PG1, PG4)

6. Perform operations with complex numbers. (GE3, PG1)

7. Use properties of logarithms and exponents to rewrite and evaluate logarithmic and exponential expressions. (GE3, PG1)

8. Evaluate a composition of functions. (GE3, PG1)

9. Use function models and systems of linear equations and inequalities to set up and solve application problems. (GE2, GE3, PG1, PG3, PG4)

10. Solve systems of equations by substitution, by elimination, and using matrices. (GE3, PG1, PG4)

Learning Goals

The abbreviations in parentheses represent Learning Goals which have been identified for this course and program of study:

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