Course Description for MCV4U Grade 12 Calculus and Vectors Online Course
Grade 12 Calculus & Vectors (MCV4U) 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.
 
Summary of Units and Timelines for Grade 12 Calculus and Vectors
Below is the suggested sequence of course unit delivery as well as the recommended number of hours to complete the respective unit. For complete details of targeted expectations within each unit and activity, please see each Unit Overview found in the course profile.
 
Unit Order
Unit Name
Suggested Time
Unit 1
Rates of Change
15 hours
Unit 2
Derivatives
15 hours
Unit 3
Curve Sketching and Optimization
15 hours
 
Mid Semester Point
Unit 4
Trig & Exponential Functions
20 hours
Unit 5
Geometric & Cartesian Vectors
20 hours
Unit 6
Lines & Planes
20 hours
Final
Course Culminating Activity
5 Hours
 
 
Total: 110 hours
​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​