G12 MCV4U - Spring 2026 Weekday Evening

Course Description

MCV4U – Calculus & Vectors is one of the most crucial Grade 12 mathematics courses in the Ontario curriculum. It is a required prerequisite for highly competitive university programs such as: • Engineering (all disciplines) • Computer Science • Mathematics • Business • Physics, Life Sciences & Health Sciences Who Should Take This Course? • Students applying to Engineering, Computer Science, Science, Business, Math • Students who want 90+ in MCV4U • Students preparing for university calculus and linear algebra • Students who struggled with MHF4U and need reinforcement • Student seeking a structured, exam-oriented learning sys Course Modules (Modular Design – Seamless Mid-Term Enrollment) The course is organized into independent, well-structured modules. Students joining mid-term receive a complete Catch-Up Package (notes, homework, and targeted review). Module 1 — Limits & Introduction to Calculus • Understanding limits and continuity • Limit laws • Graphical and algebraic approaches • Instantaneous vs. average rate of change • Foundation for differentiation Module 2 — Derivatives & Applications of Derivatives • Rules of differentiation • Product, quotient, chain rule • Derivatives of exponential/logarithmic/trigonometric functions • Motion, optimization, related rates • Curve sketching using derivatives Module 3 — Vector Fundamentals • Vectors in 2D and 3D • Vector operations and notation • Components, magnitude, direction • Linear combinations Module 4 — Lines, Planes & Geometry in 3D • Equations of lines in 3D • Parametric/vector equations • Equations of planes • Intersections & angles between lines/planes • Problem-solving with geometric models Module 5 — Applications, Modeling & University Preparation • Complex modelling with derivatives • Vector applications in physics and engineering • Introduction to university calculus expectations • Final exam preparation and full consolidation Key Learning Outcomes By the end of the course, students will master: • Calculus Foundations • Graphing & Optimization • Vector Operations & 3D Geometry • Complex Problem Solving • Exam Excellence Schedule & Tuition • 2 hours/week • Total: 24 hours • Weekday evening • Tuition: $719 All MCV4U classes include: ✔ Full lesson materials ✔ Weekly homework ✔ Quizzes and assessments ✔ Teacher feedback & study guidance ✔ Complete catch-up support Book a free consultation + math assessment with our academic advisor. Secure your seat early—small classes fill quickly!