Calculus 12
Prince Edward Island · Grade 12 · Mathematics — the complete curriculum-aligned outline, taught skill by skill by MapleMind's AI tutor.
1Units
5Lessons
22Skills
Unit 1: Calculus
Limits, continuity, the derivative and its rules and applications, and the integral and its applications.
Limits and continuity
- Solving problems involving limits
- Asymptotic and end behaviour
- Continuity
The derivative
- The derivative as instantaneous rate of change
- The derivative from the definition
Differentiation rules
- The basic derivative rules
- Product and quotient rules
- Rates of change and motion
- Derivatives of trigonometric functions
- The chain rule
- Inverse trigonometric functions
- Exponential and logarithmic functions
Applications of the derivative
- Analysing a function for its graph
- Sketching the graph of a function
- Setting up an optimization problem
- Solving an optimization problem
- Linearization and Newton's Method
- Related rates
The integral
- The indefinite integral
- The definite integral
- Area between curves
- Accumulation and other applications
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