## Course Offerings

## Functions 3U

This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

**Prerequisite:**Principles of Mathematics, Grade 10, Academic## Advanced Functions 4U

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.

**Prerequisite:**Functions 3U, Grade 11## Calculus and Vectors 4U - Offered 2nd Semester

This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.

**Prerequisite:**60% final grade in Advanced Functions, Grade 12, University preparation, or currently taking Advanced Functions with 75% in Functions 3U.Beaverbrook Math Academy Students are expected to complete their non-math related coursework at another educational institution. Students enrolled in Advanced Functions must ensure that it does not conflict with their regular school schedule (a spare period is recommended)

## Tentative Daily Schedule for September 2016 - January 2017

__Advanced Functions 4U: (3 sections)__

__Period 1__

- 8:30–9:45AM (odd numbered dates)
- 10:10–11:25 AM (even numbered dates)

__Period 3__

- 12:00–1:15 PM (odd numbered dates)
- 1:35–2:50 PM (even numbered dates)

__Period 4____12:00–1:15 PM (even numbered dates)____1:35–2:50 PM (odd numbered dates)__

__Functions 3U:__

- Three 2 hour classes after school per week, days and times to be determined

## Office Hours

A teacher will be available from 2:50-3:30PM Monday to Friday for individual students to drop in and get help with homework or have questions answered.