Calculus 12
Welcome to Mr. Mattson's notes for BC Calculus 12.
An introduction to the fundamental concepts of differential and integral calculus.
Units:
- Functions & Graphs Review: Review of key functions from Pre-calculus 12, piecewise functions.
- Limits & Continuity: Understanding limits graphically and algebraically, continuity concepts.
- Differentiation Rules: Definition of the derivative, power, product, quotient, chain rules, implicit differentiation.
- Differentiation Applications: Curve sketching (increasing/decreasing, concavity), related rates, optimization problems.
- Integration Basics & FTC: Antiderivatives, approximations (Riemann sums), Fundamental Theorem of Calculus.
- Integration Methods: Techniques like substitution and integration by parts.
- Integration Applications: Finding area under curves, volumes of solids.
- Differential Equations: Introduction to differential equations and initial value problems.
(Note: Links point to unit sections, which will be detailed further)