This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.
Course Code: MHF4U
Course Type: University
Prerequisite: Functions, Grade 11, University Preparation, or Mathematics for College Technology, Grade 12, College Preparation
Credit Value: 1
Unit 1: Exponential and Logarithmic Functions
Students will evaluating exponential and logarithmic expressions and solving problems related to those functions.
Unit 2: Trigonometric Functions
Students will study radian measures and graphs of different Trigonometric functions to solve related functions either graphically or algebraically.
Unit 3: Polynomial and Rational Functions
Students will learn to graph different polynomial and rational functions and solve problems with related functions or inequalities.
Unit 4: Characteristics of Functions
Students will learn understand rate change of functions and use the related function model to solve problems.