Course Title: Calculus and Vectors, Grade 12, University Preparation (MCV4U)
Course Name: Calculus and Vectors
Course Code: MCV4U
Grade: 12
Course Type: University Preparation
Credit Value: 1.0
Prerequisite: MHF4U, Advanced Functions, Grade 12, University Preparation
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.
Units: Title and Times
Unit 1 Introduction to Calculus 12 hours
Unit 2 Derivatives 10 hours
Unit 3 Derivatives and their Applications 18 hours
Unit 4 Derivatives of Exponential and Trigonometric Functions 10 hours
Unit 5 An Introduction to Vectors 16 hours
Unit 6 Applications of Vectors 14 hours
Unit 7 Equations of Lines and Planes 12 hours
Unit 8 Relationships between Points, Lines and Planes 12 hours
Exam review 4 hours
Final exam 2 hours
Total: 110 hours
Teacher
