MHF4U – Advanced Functions, Grade 12, University Preparation

Prerequisite:

Functions, Grade 11, University Preparation

Course Description

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.

Outline of Course Content

UnitsTitles
Unit 1Functions and Polynomial Functions
Unit 2Polynomial inequalities and Rational Functions
Unit 3Trigonometric Functions
Unit 4Logarithmic and Exponential Functions
Unit 5Characteristics of Functions