GRADE 12 MATHEMATICS | Calculus and Vectors
Course Code: MCV4U
Prerequisite: Grade 11 Functions, University Prep (MCR3U)
Corequisite: Grade 12 Advanced Functions, University Prep (MHF4U)
This course builds on your previous experience with functions and developing your understanding of rates of change. You will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden your 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. You will also refine your 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 OF STUDY AND APPROXIMATE TIME FOR COMPLETION:
- Functions and Limits ~ 20 hrs
- Derivatives ~ 25 hrs
- Application of Differentiation ~ 25 hrs.
- Geometric and Cartesian Vectors ~ 20 hrs.
- Lines and Planes ~ 15 hrs.
- Review and Final Exam ~ 5 hrs