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AP Calculus BC
Everything in AB plus series, parametrics and polar — watch Taylor series converge term by term.
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Scored lab investigations
Unit 1 · 5–10%
Limits & Continuity
Unit 2 · 5–10%
Differentiation: Definition & Fundamental Properties
Unit 3 · 5–10%
Differentiation: Composite, Implicit & Inverse Functions
Unit 4 · 5–10%
Contextual Applications of Differentiation
Unit 5 · 10–15%
Analytical Applications of Differentiation
Unit 6 · 15–20%
Integration & Accumulation of Change
- Riemann Sums and the Definite Integral15 min · 3 objectives
- The Fundamental Theorem of Calculus15 min · 3 objectives
- Accumulation Functions and the Second FTC15 min · 3 objectives
- U-Substitution and Changing the Bounds14 min · 3 objectives
- Integration by Parts15 min · 3 objectives
- Partial Fractions14 min · 3 objectives
- Improper Integrals14 min · 3 objectives
Unit 7 · 5–10%
Differential Equations
Unit 8 · 5–10%
Applications of Integration
Unit 9 · 10–15%
Parametric, Polar & Vector-Valued Functions
- Parametric Derivatives15 min · 3 objectives
- Second Derivatives and Concavity of Parametric Curves15 min · 3 objectives
- Parametric Arc Length13 min · 3 objectives
- Vector-Valued Functions & Motion15 min · 3 objectives
- Area in Polar Coordinates15 min · 3 objectives
- Polar Slopes and Regions Between Two Curves15 min · 3 objectives
Unit 10 · 15–20%
Infinite Sequences & Series
- Sequences, Geometric Series and Telescoping Sums15 min · 3 objectives
- Series Convergence Tests16 min · 3 objectives
- Choosing a Test, and Absolute versus Conditional Convergence16 min · 3 objectives
- Taylor & Maclaurin Series16 min · 3 objectives
- Error Bounds14 min · 3 objectives
- Power Series & Interval of Convergence15 min · 3 objectives
- Building New Series from the Ones You Know16 min · 3 objectives