MHF4U: Advanced Functions

Grade: 12

Level: University

Prerequisite: MCR3U

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.

Curriculum | Course Expectations

We will be using the workbook Advanced Functions 12 by McGraw-Hill Ryerson. Treat your textbook well — a replacement costs $100.

Exam Review

Topics Covered

  1. Polynomial Functions
  2. Polynomial Equations and Inequalities
  3. Rational Functions
  4. Trigonometric Functions
  5. Trigonometric Identities
  6. Exponential and Logarithmic Functions
  7. Combinations of Functions