# Math Analysis

**MATH ANALYSIS: dual enrollment MTH 167 (5 credits for the year-long course) **

Instructor: Dr. Melisa Shifflett (mshifflett@cvgs.k12.va.us)

Course Materials:

__Precalculus: Enhanced with Graphing Utilities, 5 ^{th} ed__, by Michael Sullivan & Michael Sullivan III.

Graphing Calculator

Course Description: Math Analysis is a pre-calculus course that includes an in-depth conceptual analysis of algebraic, polynomial, rational, logarithmic, exponential, and trigonometric functions. Topics include graphical behavior, domains and ranges, roots (real & complex), turning points using the first derivative, graphing (using transformations with and without a graphing calculator), application problem solving, and an introduction to integration. Parametric equations are presented with a focus on applications and conceptual analysis. Analysis includes required algebraic proofs and/or conceptual explanations in all written and oral presentations. Graphing calculators and spreadsheets are used extensively. The study of matrices and the study of limits are included and optional topics include an introduction to sequences and series.