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Grade 12

Calculus and Vectors

The Learning Begins

Course Code: MCV4U

Credit Value: 1 credit

Courses Type: University

Teacher: J.F. Michaud

Prerequisites: MHF4U

Course Delivery: Face to Face/Online

What will students learn?

  • Unit 1. Representing Vectors in R 2

  • Unit 2. Representing Vectors in R 3

  • Unit 3. Representing Lines and Planes

  • Unit 4. Investigating Instantaneous Rates of Change as the Derivative

  • Unit 5. Further Derivative Rules and Applications

  • Unit 6. Optimization

  • Unit 7. Derivatives of Common Functions

  • Unit 8. Curve Sketching

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.

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