AP Calculus BC Notes

Muyang Ni October 7, 2025

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1.1 - Limit Definition

1.2 - Limit Properties

1.3 - Continuity

1.4 - Infinite Limits

2.1 - Definition of a Derivative

2.2 - The Chain Rule

2.3 - Implicit Differentiation

2.4 - Applications of Differentiation

3.1 - Indefinite Integrals

3.2 - Definite Integrals

3.3 - Integration by Substitution

4.1 - Exponential & Logarithmic Differentiation

4.2 - Exponential & Logarithmic Integration

5.1 - Differential Equations: Growth and Decay

5.2 - Differential Equations: Separation of Variables

5.3 - First-Order Linear Differential Equations

9.1 - Introduction to Series

9.2 - Geometric Series, Integral Test & P-Series

13.3 - Partial Differentiation

13.4 - Total Differentials

13.6 - Directional Derivatives and Gradients

14.1 - Iterated and Double Integrals

14.2 - Reducible Higher-Order Differential Equations