• Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
• Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
• Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.

Unit Value: 5  

Lecture Hours Per Week: 5  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.

Prerequisite:
A minimum grade of 'C' in MATH 115 or eligibility determined through the math placement process

Corequisite:
None

Prerequisite: Completion of, or concurrent enrollment in
None

Recommended Preparation:
None

Limitation on Enrollment:
None

1. Analyze the behavior of a function given a numerical, graphic, or analytic representation.
2. Conceptualize and apply the notion of average rate of change for functions.
3. Analyze, solve, and interpret solutions to trigonometric equations.
4. Analyze, solve, and interpret solutions to problems involving systems of equations in several variables.
5. Identify and apply principles of algebraic manipulations necessary to simplify algebraic expressions and to solve problems that are represented algebraically.
6. Use knowledge of different functions and strategies to develop solutions for a variety of realistic application problems.
7. Use trigonometric functions to develop solutions to realistic application problems and interpret the results in the context of the problem.
8. Select and employ appropriate graphic, numerical, or analytic methods to solve equations and inequalities, including those involving absolute value, polynomial expressions, expressions with rational and negative exponents, and rational expressions.
9. Apply critical thinking and quantitative reasoning skills to mathematical problem solving.

1. Lecture

At least the following topics will be covered:

1. Function analysis from graphic, numerical, and analytic perspectives to include the following:
   1. Domain
   2. Range
   3. Increasing, decreasing, constant intervals
   4. Extreme behavior
   5. Real and Complex zeros
   6. Asymptotes
   7. Inverses
   8. Discontinuities
   9. Difference quotients
2. Analyze and interpret the effects of transformations on functions and relations, including conic sections
3. Average rate of change
4. Trigonometry
   1. Circular definition
   2. Radian Measure
   3. Applications
   4. Identities
   5. Trigonometric equations
   6. Trigonometric form of complex numbers (Optional)
   7. Polar coordinates (optional)
   8. DeMoivre's Theorem and nth roots of complex numbers (optional)
5. Graphing
1. Algebraic Functions and Relations
2. Trigonometric Functions
3. Exponential and Logarithmic Functions
6. Analyze sequences and series as discrete functions including discussion of arithmetic and geometric sequences and series, partial sums, and the Binomial Theorem
7. Rewrite polynomial, rational, absolute value, negative and/or rational exponents, exponential and logarithmic expressions in order to solve equations and inequalities and to analyze the behavior of functions.
8. Solve and interpret solutions of linear systems of equations of several variables using matrices, including discussion of augmented matrices and row operations, inverse matrices, and determinants.
9. Mathematical induction (optional)
10. Parametric equations (optional)
11. Additional topics may be included at instructor's discretion

1. Cohen, David. Precalculus with Unit-circle Trigonometry. Pacific Grove : Brooks/Cole, 1998.
2. Larson, Hostetler. Precalculus. Boston: Houghton Mifflin, 2001.
3. Aufmann, Richard, Vernon, Barker, and Richard Nation, Precalculus. Boston: Houghton Mifflin, Ed.
4. Larson, Roland E., Robert P. Hostetler, and Bruce H. Edwards. Precalculus Functions and Graphs: A Graphing Approach. Lexington: D.C. Heath and Company, 2nd Ed.

• Exams/Tests
• Homework