MCV4U: Calculus and Vectors

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 threedimensional 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.

Department Title Grade  Type Course Code  Credit Value Co/Prerequisite Duration  Curriculum
Mathematics Calculus and Vectors 12 University Prep  CMCV4U 1.0  MHF4U  110 Hours Link

This course has the following units of study:

  • Introduction to Calculus (12 Hours)
  • Derivatives (12 Hours)
  • Derivatives and Their Application (12 Hours)
  • Curve Sketching (12 Hours)
  • Derivatives of Exponential and Trigonometric Functions (12 Hours)
  • Introduction to Vectors (12 Hours)
  • Application of Vectors (12 Hours)
  • Equations of Lines and Planes (12 Hours)
  • Relationship Between Points, Lines, and Planes (12 Hours)
  • Final Exam Review (3 Hours)

MCV4U has a final exam worth 30% of the final grade calculation.