Calculus and Vectors – Grade 12 (University Preparation Level)

The Grade 12 university preparation course Calculus and Vectors is designed to prepare students for university programs, such as science, engineering, and economics, that include a calculus or linear algebra course in the first year. Calculus is introduced in the Rate of Change strand by extending the numeric and graphical representation of rates of change introduced in the Advanced Functions course to include more abstract algebraic representations. The Derivatives and Their Applications strand provides students with the opportunity to develop the algebraic and problem-solving skills needed to solve problems associated with rates of change. Prior knowledge of geometry and trigonometry is used in the Geometry and Algebra of Vectors strand to develop vector concepts that can be used to solve interesting problems, including those arising from real-world applications.

Course Outline

  • Chapter 1: The Limit of a Function
  • Chapter 2: Derivatives
  • Chapter 3: Applications of Derivatives
  • Chapter 4: Derivatives of Exponential and Logarithmic Functions
  • Chapter 5: Derivatives of Trigonometric Functions
  • Chapter 6: Curve Sketching
  • Chapter 7: Vectors
  • Chapter 8: Algebraic Vectors and Applications
  • Chapter 9: Lines in a Plane
  • Chapter 10: Equations of Planes

Course Calendar