This course is designed to prepare a student for calculus. It is the culmination of the study of functions prior to calculus. The successful student will complete an algebra review, a detailed study of functions and models, and study of specific functions including powers, exponentials, logarithms, rational functions, and trigonometric functions; and demonstrate understanding of each. This study includes solving equations involving the relevant functions. In addition, a successful student will be able to model functions and apply the models to concrete settings. Topics covered will include:
-
Functions and their Graphs
-
Polynomial and rational functions
-
Exponential functions
-
Trigonometry – including:trigonometric functions, graphs of trigonometric functions,trigonometric identities, solving trigonometric equations
-
Systems of equations and inequalities
-
Matrices and determinants