# Course Information

## Advanced Functions - MHF4U

ILC Course Code: MHF4U-C

Grade 12, University Preparation, 1.0 credit

**Prerequisites**

Functions (MCR3U-C) or

Mathematics for College Technology (MCT4C-B)

**Course Description**

This course extends your experience with functions. You will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden your understanding of rates of change; and develop facility in applying these concepts and skills. You will also refine your 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.

**Online Submission**

Online submission of course work is required for this course using *Microsoft Word* © or *OpenOffice Writer*.

**Unit 1: Exponential and logarithmic functions, Part A**

Lesson 1 - Exponential functions

Lesson 2 - Introduction to logarithms

**Unit 2: Exponential and logarithmic functions, Part B**

Lesson 3 - Graphs of logarithmic functions

Lesson 4 - Transformations of logarithmic functions

Lesson 5 - Exponential and logarithmic equations

**Unit 3: Polynomial and rational functions, Part A**

Lesson 6 - Polynomial functions

Lesson 7 - Polynomial equations and graphs

Lesson 8 - Transformations and applications of polynomial functions

**Unit 4: Polynomial and rational functions, Part B**

Lesson 9 - Rational functions

Lesson 10 - Applications of rational functions

**Unit 5: Trigonometric functions**

Lesson 11 - Review of trigonometry

Lesson 12 - Radian measures

Lesson 13 - Graphs of trigonometric functions

Lesson 14 - Applications of periodic functions

Lesson 15 - Trigonometric identities and equations

**Unit 6: Characteristics of Functions, Part A**

Lesson 16 - Average rate of change

Lesson 17 - Instantaneous rate of change

**Unit 7: Characteristics of Functions, Part B**

Lesson 18 - Operations on functions

Lesson 19 - Composite functions

Lesson 20 - Mathematical modelling

#### This is the English version of the course.

Click here to view the French version of the course.