MCV4U Calculus and Vectors
University Prep.
Ministry of Education Course Title: Calculus and Vectors, University Preparation Preparation
Course Code: MCV4U
Grade Level: 12
Prerequisite: MHF4U
Department: Mathematics
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 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.
Overall Curriculum Expectation - all units are interrelated
Unit 1 Rate of Change
Investigating Instantaneous Rate of Change at a Point
Investigating the Properties of Derivatives
Unit 2 Derivatives and their Applications
Connecting Graphs and Equations of Functions and Their Derivatives
Solving Problems Using Mathematical Models and Derivatives
Unit 3 Geometry and Algebra of Vectors
- Operating With Vectors
- Describing Lines and Planes Using Scalar, Vector, and Parametric Equations Calculus and Vectors, Grade 12 University Preparation MCV4U