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.
Courses Type: University Preparation
Prerequisite: Proof of completion or enrollment is MHF4UCo-requisite: MHF4U, Grade 12 Advanced Functions
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.
MCV4U Online Course Outline and Timeline
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 MCV4U course profile.
| Unit Order | Unit Name | Suggested Time |
|---|---|---|
| Unit 0 | Prerequisite Review | 10 Hours |
| Unit 1 | Rates of Change | 14 Hours |
| Unit 2 | Derivatives | 15 Hours |
| Unit 3 | Curve Sketching and Optimization | 15 Hours |
| MID SEMESTER POINT | ||
| Unit 4 | Trig & Exponential Functions | 18 Hours |
| Unit 5 | Geometric & Cartesian Vectors | 18 Hours |
| Unit 6 | Lines & Planes | 18 Hours |
| FINAL | Final Exam | 2 Hours |
| View Sample GradebookTotal | 110 Hours |
Please note, as per Ministry guidelines, OVS has a mandatory 14 day minimum requirement for student enrollment to be eligible for a midterm report card and 28 days enrollment to be eligible for a final report card.
Fundamental Concepts Covered in Grade 12 Mathematics Online Course
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 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.