Mathematics · MCV4U · Grade 12
Calculus and Vectors
6 study packs. Choose a pack to open it. Each one has a Common Mistakes list, written questions with full solutions, a Boss Run game and a timed practice test with an answer key.
Rates of Change and Limits
Average and instantaneous rates of change, limits from graphs, tables and algebra, continuity, and the derivative from first principles.
- 16 written questions
- 120-question Boss Run
- 124 cue cards
- 10 graphing questions
- Quiz + 60-min test
Derivative Rules
The power, product, quotient and chain rules, Leibniz notation, tangent lines, higher derivatives, motion, and marginal cost and revenue.
- 16 written questions
- 120-question Boss Run
- 111 cue cards
- 8 graphing questions
- Quiz + 60-min test
Curve Sketching and Optimization
Critical numbers and extrema, concavity and inflection points, asymptotes of rational functions, curve sketching and optimization.
- 17 written questions
- 120-question Boss Run
- 137 cue cards
- 13 graphing questions
- Quiz + 60-min test
Derivatives of Exponential and Trigonometric Functions
The number e, derivatives of exponential, sine, cosine and tangent functions, growth and decay, periodic models, and optimization.
- 17 written questions
- 120-question Boss Run
- 126 cue cards
- 9 graphing questions
- Quiz + 60-min test
Geometric and Algebraic Vectors
Vector operations, resultants and equilibrants, Cartesian vectors in 2-D and 3-D, and the dot and cross products with applications.
- 17 written questions
- 120-question Boss Run
- 120 cue cards
- 9 graphing questions
- Quiz + 60-min test
Lines and Planes
Equations of lines and planes, intersections of lines, of a line and a plane, and of two or three planes, and distances.
- 15 written questions
- 120-question Boss Run
- 118 cue cards
- 6 graphing questions
- Quiz + 60-min test