# Analysis of Functions

Course No: MTH 128

Course Title: Analysis of Functions

Credits: Three

Catalog Description:

As preparation for the study of calculus, topics will include a detailed analysis and applications of algebraic and transcendental functions. Emphasis will be on linear and quadratic equations; polynomial and rational functions and their graphs; rates of change, optimization, exponential, logarithmic, and trigonometric functions; combinations, composition, inverses of functions, and graphical analysis. Satisfies the Quantitative Reasoning General Education requirement.

Prerequisites & Notes:

High School Algebra II or Pre Calculus. A TI-82 STATS , TI 83 or TI 84 calculator is required. Cannot be taken by students who have taken MTH 135.

Learning Outcomes:

1. Upon completion of this course, students will be able to:
2. Understand the real number line, interval notation and operation properties.
3. Know how to operate, factor and simplify polynomial and rational expressions.
4. Know how to work with exponents and radicals.
5. Know how to solve linear, and quadratic equations.
6. Be able to solve applied problems by setting up their equation and solve it.
7. Understand the concept of function, evaluate functions and interpret their graphs.
8. Determine if a function is one-to-one and find its inverse.
9. Understand in depth the main algebraic and transcendental functions.
10. To construct and understand mathematical models for business and the physical and social sciences based on functions.

Required Textbooks and Supplies:

• Geoffrey Akst, Sadie Bragg. Intermediate Algebra through Applications. Pearson, 3th edition. Larson, Edwards. Calculus, an Applied Approach. Houghton Mifflin, 6th edition.
• A graphic calculator is required: TI-82 STATS or TI-83 or higher. The textbook and calculator must be brought to every class meeting.