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.

Prerequisites: The new Advanced Functions course (MHF4U) must be taken prior to or concurrently with Calculus and Vectors (MCV4U).

Ministry Course Title: Calculus and Vectors, Grade 12, University Preparation.
Common Course Name: Calculus and Vectors
Course Code: MVC4U
Grade: 12
Course Pathway Type: University Preparation
Credit Value: 1.0
Prerequisite: MHF4U, Advanced Functions, Grade 12, University Preparation
Curriculum Policy Document: The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007 (Revised) 
Course Developer: Ontario Online School Course Development Team
Department: Mathematics
Initial Development Date: February 2020
Most Recent Revision Date: Ongoing – course direction is determined through collaboration between teachers and students