AP Calculus BC review

Calculator policy: Graphing calculator required for the calculator parts.

1. Unit 1

   Limits and Continuity

   Same foundations as AB: limits, asymptotes and continuity.

2. Unit 2

   Differentiation: Definition and Basic Rules

   The derivative and its basic rules.

3. Unit 3

   Differentiation: Composite, Implicit and Inverse Functions

   Chain rule, implicit and inverse derivatives.

4. Unit 4

   Contextual Applications of Differentiation

   Rates of change, related rates, L'Hospital's rule.

5. Unit 5

   Analytical Applications of Differentiation

   MVT, extrema, concavity and optimization.

6. Unit 6

   Integration and Accumulation of Change

   Fundamental Theorem plus integration by parts, partial fractions and improper integrals.

   Topics: Integration by parts, Improper integrals.

   Unit 6 notes and practice

7. Unit 7

   Differential Equations

   Slope fields, Euler's method, separable equations and logistic growth.

   Topics: Euler's method, Logistic models.

   Unit 7 notes and practice

8. Unit 8

   Applications of Integration

   Area, volume, average value and arc length.

9. Unit 9

   Parametric Equations, Polar Coordinates and Vector-Valued Functions

   Derivatives and integrals in parametric, polar and vector form.

   Topics: Polar area.

   Unit 9 notes and practice

10. Unit 10

    Infinite Sequences and Series

    Convergence tests, power series, Taylor and Maclaurin series and error bounds.

    Topics: Convergence tests, Taylor polynomials.

    Unit 10 notes and practice

• Limits Study Guide (study guide)
• Derivative Rules cheat sheet (one-page formulas)
• Derivative Basics Quiz (quick quiz)
• Derivatives Practice Test (25-minute timed test)
• AP Calculus AB: Limits and Continuity (8 flashcards)
• Derivative Rules (9 flashcards)
• Calculus practice problems (with worked solutions)