Calculus and Vectors MCV4U
Grade 12 Calculus and Vectors. Introduces calculus by extending rates of change into algebraic form, develops derivatives and their applications, and builds the geometry and algebra of vectors including lines and planes in three dimensions.
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- Grade
- 12
- Subject
- Mathematics
- Content
- 7 units · 13 chapters
- Format
- Online, self-paced
- Teachers
- Ontario Certified Teachers
- Credit
- 1 Ontario credit
- Preview
- First unit free
What you will study
Every unit in the course and what it covers. The first unit is free to try once you sign in.
- Lessons with explanations, examples and pictures
- Practice questions with instant feedback
- An AI tutor that answers questions about the lesson
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1Unit 0 — Prerequisite Review1 chapter
- Chapter 0.1 — Essential Review
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2Unit 1 — Rate of Change2 chapters
- Chapter 1.1 — Limits and Continuity
- Chapter 1.2 — From Average Rate to the Derivative
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3Unit 2 — Derivatives and Applications2 chapters
- Chapter 2.1 — Differentiation Rules
- Chapter 2.2 — Applications of the Derivative
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4Unit 3 — Curve Sketching and Optimisation2 chapters
- Chapter 3.1 — Curve Analysis
- Chapter 3.2 — Optimisation Problems
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5Unit 4 — Trigonometric and Exponential Functions2 chapters
- Chapter 4.1 — Derivatives of Trigonometric Functions
- Chapter 4.2 — Derivatives of Exponential Functions
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6Unit 5 — Geometric and Cartesian Vectors2 chapters
- Chapter 5.1 — Geometric Vectors
- Chapter 5.2 — Cartesian Vectors
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7Unit 6 — Lines and Planes2 chapters
- Chapter 6.1 — Equations of Lines
- Chapter 6.2 — Equations of Planes
Good to know: These online courses are taught and marked by Ontario Certified Teachers at iBtech Private School, a Ministry-inspected school (BSID 886120). They are Ontario credit courses toward the OSSD, and admissions can show you how each one fits your diploma plan. Talk to admissions
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