Course No: MTH 128
Course Title: Analysis of Functions
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.
- Upon completion of this course, students will be able to:
- Understand the real number line, interval notation and operation properties.
- Know how to operate, factor and simplify polynomial and rational expressions.
- Know how to work with exponents and radicals.
- Know how to solve linear, and quadratic equations.
- Be able to solve applied problems by setting up their equation and solve it.
- Understand the concept of function, evaluate functions and interpret their graphs.
- Determine if a function is one-to-one and find its inverse.
- Understand in depth the main algebraic and transcendental functions.
- 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.