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AP Calculus AB
Calculus is the study of continuous change. This course covers limits, derivatives, integrals, and applications of differentiation and integration. Work through the notes and worksheets, and use the answer keys to check your understanding along the way.
Start Here — Lesson 1-1: Limits to a Point on a Graph
More video solutions coming soon. Visit Mr. Sindel's YouTube channel for the latest uploads.
AP Calculus AB
Course Overview
Unit 1
Limits, Continuity, & Differentiability
Limits, continuity, and differentiability from the Unit 1 guide.
Unit 2
Derivatives
Derivative rules and derivative concepts from the Unit 2 guide.
Unit 3
Analyzing Derivatives
Using derivatives to analyze functions from the Unit 3 guide.
Unit 4
Applications of Derivatives
Applied derivative problems from the Unit 4 guide.
Unit 5
Antiderivatives
Antiderivatives and introductory integration from the Unit 5 guide.
Unit 6
Antiderivatives Applications
Applications of antiderivatives from the Unit 6 guide.
Unit 7
Motion Applications
Particle motion and related applications from the Unit 7 guide.
Unit 8
Specific Integral Applications
Specific definite integral applications from the Unit 8 guide.
Unit 9
Approximate Integral Applications
Approximation methods for integral applications from the Unit 9 guide.
Unit 10
General Integral Applications
General integral applications from the Unit 10 guide.
Unit 11
Area and Volume
Area and volume applications from the Unit 11 guide.
Unit 12
AP Test Review
AP Calculus AB exam review materials.
Unit 1
Limits, Continuity, & Differentiability
Unit 10%
Lesson 1‑1 - Limits to a Point on a Graph0%
Lesson 1‑2 - Limits to a Point of a Function0%
Lesson 1‑3 - Limits to Infinity and Horizontal Asymptotes0%
Lesson 1‑4 - Continuity at a Point0%
Lesson 1‑5 - IVT and EVT0%
Lesson 1‑6 - Average Rate of Change0%
Lesson 1‑7 - Instantaneous Rates of Change0%
Lesson 1‑8 - MVT0%
Lesson 1‑9 - IVT, EVT, & MVT0%
Unit 1 Self Checks0%
Unit 1 Assessments0%
Unit 2
Derivatives
Unit 20%
Lesson 2‑1 - Basic Power Derivatives0%
Lesson 2‑2 - Finding "u"0%
Lesson 2‑3 - General & Power Chain Rule0%
Lesson 2‑4 - Advanced Power Chain Rule0%
Lesson 2‑5 - Exponential & Logarithmic Chain Rules0%
Lesson 2‑6 - Trigonometric Chain Rules0%
Lesson 2‑7 - Derivatives of Piecewise Functions0%
Lesson 2‑8 - Definition of Derivative AP Questions0%
Lesson 2‑9 - The Product Rule0%
Lesson 2‑10 - The Quotient Rule0%
Unit 2 Self Checks0%
Unit 2 Assessments0%
Unit 3
Analyzing Derivatives
Unit 30%
Lesson 3‑1 - Height, Slope, Concavity0%
Lesson 3‑2 - Graphical Analysis: f-inc, f-dec, f-CV0%
Lesson 3‑3 - Graphical Analysis: f-rel-ext, f-min, f-max0%
Lesson 3‑4 - Graphical Analysis: f-con-up, f-con-down, f-IP0%
Lesson 3‑5 - Curve Sketching0%
Lesson 3‑6 - Analytic Analysis: f-inc, f-dec, f-CV0%
Lesson 3‑7 - Analytic Analysis: f-rel-ext, f-min, f-max0%
Lesson 3‑8 - Analytic Analysis: f-con-up, f-con-down, f-IP0%
Unit 3 Self Checks0%
Unit 3 Assessments0%
Unit 4
Applications of Derivatives
Unit 40%
Lesson 4‑1 - Tangent Line Equations0%
Lesson 4‑2 - Tangent Line Approximations (Linearization)0%
Lesson 4‑3 - Tangent Line Applications0%
Lesson 4‑4 - Mean Value Theorem Applications0%
Lesson 4‑5 - Implicit Differentiation0%
Lesson 4‑6 - Advanced Implicit Differentiation0%
Lesson 4‑7 - Circular Related Rates0%
Lesson 4‑8 - Spherical Related Rates0%
Lesson 4‑9 - Triangular Related Rates0%
Unit 4 Self Checks0%
Unit 4 Assessments0%
Unit 5
Antiderivatives
Unit 50%
Lesson 5‑1 - Basic Antiderivatives0%
Lesson 5‑2 - General & Power Antiderivatives0%
Lesson 5‑3 - Advanced Power Antiderivatives0%
Lesson 5‑4 - Unique Power & Exponential Antiderivatives0%
Lesson 5‑5 - Trigonometric Antiderivatives0%
Lesson 5‑6 - Analytic Definite Integrals0%
Lesson 5‑7 - Graphical Definite Integrals0%
Lesson 5‑8 - Piecewise Integration0%
Lesson 5‑9 - Definite Integral Rules0%
Unit 5 Self Checks0%
Unit 5 Assessments0%
Unit 6
Antiderivatives Applications
Unit 60%
Lesson 6‑1 - Slope Fields0%
Lesson 6‑2 - General Particular Solutions0%
Lesson 6‑3 - Specific Particular Solutions0%
Unit 6 Self Checks0%
Unit 6 Assessments0%
Unit 7
Motion Applications
Unit 70%
Lesson 7‑1 - Motion Differentiation0%
Lesson 7‑2 - Motion Integration0%
Lesson 7‑3 - Direction0%
Lesson 7‑4 - Position0%
Lesson 7‑5 - Speed & Distance0%
Unit 7 Self Checks0%
Unit 7 Assessments0%
Unit 8
Specific Integral Applications
Unit 80%
Lesson 8‑1 - Understanding Rates of Change0%
Lesson 8‑2 - Understanding Total Change0%
Lesson 8‑3 - Specific FTC Applications0%
Lesson 8‑4 - Specific Absolute Extrema0%
Unit 8 Self Checks0%
Unit 8 Assessments0%
Unit 9
Approximate Integral Applications
Unit 90%
Lesson 9‑1 - Tabular Rates & Integrals0%
Lesson 9‑2 - Approximating Total Change0%
Lesson 9‑3 - Approximating Average Value0%
Unit 9 Self Checks0%
Unit 9 Assessments0%
Unit 10
General Integral Applications
Unit 100%
Lesson 10‑1 - General FTC Applications0%
Lesson 10‑2 - Integral Analysis0%
Lesson 10‑3 - General Absolute Extrema0%
Unit 10 Self Checks0%
Unit 10 Assessments0%
Unit 11
Area and Volume
Unit 110%
Lesson 11‑1 - Area Under Two Curves0%
Lesson 11‑2 - Area Between Two Curves0%
Lesson 11‑3 - Volumes of Square Cross Sections0%
Lesson 11‑4 - Basic Volumes of Revolution0%
Lesson 11‑5 - Advanced Volumes of Revolution0%
Unit 11 Self Checks0%
Unit 11 Assessments0%
Unit 12: AP Test Review
AP Calculus AB exam review materials.
College Board does not currently test Unit 4 material on the AP Precalculus exam. This is why the AP Precalculus Free Response section has 4 questions instead of the typical 6. When College Board adds Unit 4 to the exam, Bryan Passwater will release the corresponding materials and they will be available here.
Test Prep
AP Exam Review
Comprehensive review materials for the AP Precalculus exam.