Calc BC
AP Calculus BC
Everything in AB, plus advanced integration, Euler's method and logistic growth, parametric, polar and vector calculus, and infinite series. Starts with a fast-paced review of AB.
Unit 1
AB Review: Limits and Derivatives
A fast-paced review.
Unit 2
Advanced Integration
Techniques beyond substitution.
Unit 3
Differential Equations
Numerical and logistic models.
Unit 4
Applications of Integration
Area, volume and length.
Unit 5
Parametric, Polar and Vector-Valued Functions
Calculus in the plane.
Unit 6
Infinite Sequences and Series
Adding infinitely many terms.
- 6.1Sequences and convergence
- 6.2Series and the nth term test
- 6.3Geometric series
- 6.4The integral test
- 6.5p-series
- 6.6Comparison tests
- 6.7Alternating series
- 6.8The ratio test
- 6.9Absolute and conditional convergence
- 6.10Taylor polynomials
- 6.11The Lagrange error bound
- 6.12Radius and interval of convergence
- 6.13Taylor and Maclaurin series
- 6.14Working with power series
- Unit test