MCV4U – Calculus and Vectors, Grade 12, University Preparation

Prerequisite:

Advanced Functions, Grade 12, University Preparation

Advanced Functions (MHF4U) must be taken prior to or concurrently with Calculus and Vectors (MCV4U)

Course Description

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 modeling 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.

Outline of Course Content

Units	Titles
Unit 1	Introduction to Limits
Unit 2	Derivatives
Unit 3	Derivatives and Curve Sketching
Unit 4	Derivatives and Its Applications
Unit 5	Inductions to Vectors and Its Application
Unit 6	Equations of Lines and Planes