#### The AP Calculus Test

###### About the Course & AP Exam Strategies

Introduction to the course, about the test, test strategies

#### AP Calculus Videos

###### AP Tricks, Part 1

Test strategies, limit problems, function values from derivative graphs, inverses of derivatives AP Tricks, Part 1: Follow Along AP Tricks, Part 1: Practice Problems

###### Derivatives from the Definition

Manual derivatives done using the definition Derivatives from the Definition: Follow Along Derivatives from the Definition: Practice Problems

###### Limits

Manual limits, disguised derivative problems, L'H pital's Rule Limits: Follow Along Limits: Practice Problems

###### Chain, Product & Quotient Rules

Product rule, chain rule, product-chain rule combinations, quotient rule Chain and Product Combinations: Follow Along Chain and Product Combinations: Practice Problems

###### Tangent Lines and Optimization

Equations of tangent lines, optimization problems Tangent Lines and Optimization: Follow Along Tangent Lines and Optimization: Practice Problems

###### Function Graphs

Concavity, Absolute and Relative Min/Max, Increasing/Decreasing functions Function Graphs: Follow Along Function Graphs: Practice Problems

###### Implicit Differentiation

Implicit differentiation, second implicit derivatives Implicit Differentiation: Follow Along Implicit Differentiation: Practice Problems

###### Related Rates Problems

Sphere, conical reservoir, pythagorean, trigonometric problems Related Rates: Follow Along Related Rates: Practice Problems

###### Graphs from Data Charts

Inferring graph details from a data chart, producing a graph from a data chart Graphs from Data Charts: Follow Along Graphs from Data Charts: Practice Problems

###### Riemann Sums and The Trapezoidal Rule

Left and right Riemann Sums, Trapezoidal Sums, Inferring integrals from Trapezoidal sums Riemann Sums and The Trapezoidal Rule: Follow Along Riemann Sums and The Trapezoidal Rule: Practice Problems

###### Integration: Substitution Method

Integration by substitution, change of variables Integration - Substitution Method: Follow Along Integration - Substitution Method: Practice Problems

###### AP Tricks, Part 2

Differential Equations, Rate Integration Problems, Mean Value Theorem AP Tricks, Part 2: Follow Along AP Tricks, Part 2: Practice Problems

###### Area Between Curves

Area between two curves, area between intersecting curves, curves that intersect at more than one point Area Between Curves: Follow Along Area Between Curves: Practice Problems

###### Velocity, Acceleration and Distance

Velocity, acceleration, integrals and position, integrals and distance Velocity, Acceleration and Distance: Follow Along Velocity, Acceleration and Distance: Practice Problems

###### Function and Derivative Graphs

Converting function graphs to derivatives, converting derivative graphs to functions, integrals and area Function and Derivative Graphs: Follow Along Function and Derivative Graphs: Practice Problems

###### Volume - Cross-sections

Volumes with square cross-sections, rectangular cross-sections, semi-circular cross sections Volume - Cross-sections: Follow Along Volume - Cross-sections: Practice Problems

###### Volume - Disc Method

Volumes of rotation around x-axis, around y-axis, washers, rotation around other axes Volume - Disc Method: Follow Along Volume - Disc Method: Practice Problems

###### AP Tricks, Part 3

More average value, continuity and limits AP Tricks, Part 3: Follow Along AP Tricks, Part 3: Practice Problems

###### AP Tricks, Part 4

Functions of integrals, average rates of change AP Tricks, Part 4: Follow Along AP Tricks, Part 4: Practice Problems

###### AP Tricks, Part 5

Differentiating with Tables, Slope Fields, First and Second Fundamental Theorems AP Tricks, Part 5: Follow Along AP Tricks, Part 5: Practice Problems

#### AP Calculus Review

###### Synthesizer: Test Analysis

Analyze AP test problems to guide studying Study Plan: AP Test Analysis Study Plan: AP Test Analysis: Key May 2009 College Board Course Description College Board May 2009 Course Description

###### Synthesizer: Study Plan

Learn how to prioritize studying by reviewing your old tests Review your old tests Research Additional AP Topics

#### AP Calculus Practice

###### Free Response Skills Practice Free Response Skills Practice Problem Free Response Skills Practice Problem: Key The College Board Official Sample Tests