Calculus and Vectors, Grade 12
MCV4U
Calculus and Vectors, Grade 12 (University Preparation)
| Course Code | MCV4U |
| Credit | 1.0 |
| Prerequisite | MHF4U (may be taken concurrently in accordance with school policy) |
| Delivery | Online | In-Person | Synchronous | Asynchronous |
| Grade | Grade 12 |
Course Description
This course introduces the fundamental concepts of differential calculus and vector geometry. Students solve problems involving rates of change, optimization, vector operations, and three-dimensional geometry while developing mathematical reasoning and modelling skills for university programs.
Maple Ridge Academy Course Overview
Calculus and Vectors is the culminating mathematics course for students planning to enter STEM-related university programs. Students explore change, motion, optimization, and spatial reasoning through mathematical modelling and technology-enhanced investigations.
The course emphasizes conceptual understanding while strengthening analytical and abstract thinking.
Major Units of Study
Unit 1 – Rates of Change
Unit 2 – Differential Calculus
Unit 3 – Curve Sketching
Unit 4 – Optimization Problems
Unit 5 – Introduction to Vectors
Unit 6 – Lines and Planes in Space
Unit 7 – Applications of Vectors
Assessment & Evaluation
Assessment includes:
- Assignments
- Problem-solving tasks
- Investigations
- Quizzes
- Unit Tests
- Mathematical Modelling
- Culminating Activity
- Final Evaluation
Skills Developed
- Logical reasoning
- Spatial reasoning
- Calculus techniques
- Mathematical modelling
- Critical thinking
- Precision
- Independent learning
Postsecondary Pathways
Highly recommended or required for:
Engineering, Physics, Mathematics, Computer Science, Data Science, Actuarial Science