This is the ultimate AP Calculus AB study aid! Award-winning professor Edward Burger teaches the fundamentals of Calculus AB in dynamic video lessons. You'll learn the calculus concepts you need to score a perfect 5 on the AP Calculus AB exam. And it's available whenever you need it for one flat price, so it's better than a tutor.

This is not a test preparation product in the sense of providing exam-taking tips; it's a full course geared to AP-caliber work. You can use it alongside your AP classroom at school, reinforcing what you've learned so that you'll make the score you need on the AP Calculus AB exam. It's filled with calculus tutorials that provide AP Calculus instruction that fits your schedule. We explain calculus limits step by step, so that they're easy to remember when it's time for your AP Calculus AB exam. Thinkwell's online Calculus AB subscription is a complete web-based solution that includes all the content you'll need to succeed in AP Calculus AB.

- 12-month Online Subscription to our complete Calculus AB course with video lessons, automatically graded calculus problems, and much more
- Printed Notes (optional, includes notes for Calc AB + BC) are the lecture notes from the Online Subscription, but in a printed, on-the-go format.
- CD Set (optional, includes videos for Calc AB + BC) contains all of the video lessons so that you can watch them when you're away from the internet.

*Printed Notes and CD Sets require the purchase of an online subscription.*

(*AP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.)

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Access to a complete online package that includes everything you need.

- Thinkwell's video lectures cover the comprehensive scope and sequence of topics covered on the AP Calculus AB exam.
- Our automatically graded exercises with immediate feedback allow you to quickly determine which areas you'll need to spend extra time studying.
- Concise, illustrated review notes help you distill the fundamental ideas, concepts, and formulas from Calculus you'll need to know in order to succeed on the AP Calculus exam.
- Subscriptions start when you are ready. Buy now and activate your course anytime you like. Wait up to one year to activate your subscription; your 12-month subscription doesn't begin until you say so!

Convenient printed version of our notes, perfect for studying on the go, or bringing to study sessions.

This optional CD-ROM set delivers the exact same video lectures delivered online, but without an internet connection. Online Subscription is required; CDs not sold separately. The CDs only contain the videos.

Thinkwell's Calculus AB includes all of these features to prepare you for the big exam:

- Equivalent to 11th- or 12th-grade AP Calculus AB
- More than 180 video lessons (see sample)
- 1000+ interactive AP Calculus AB problems with immediate feedback allow you to track your progress (see sample)
- Calculus AB practice chapter tests for all 12 chapters, as well as a final exam to make sure you're ready for the AP Calculus AB exam (only available in the homeschool version).
- Printable illustrated notes for each topic
- Real-world application examples in both lectures and exercises
- Closed captioning for all videos
- Glossary of more than 200 mathematical terms
- Engaging content to help students advance their mathematical knowledge:
- Understanding and evaluating limits and derivatives
- Computational techniques such as the power rule, product rule, quotient rule, and chain rule
- Trigonometric, exponential, and logarithmic functions
- Implicit differentiation
- Differentiation, optimization, and related rates
- Sketching curves
- Antiderivatives, integration, and the fundamental theorem of calculus
- Applications of integration such as motion, finding the area between two curves, and integrating with respect to y

- 1.1 Overview
- 1.1.1 An Introduction to Thinkwell's Calculus

- 1.1.2 The Two Questions of Calculus

- 1.1.3 Average Rates of Change

- 1.1.4 How to Do Math

- 1.2 Precalculus Review
- 1.2.1 Functions

- 1.2.2 Graphing Lines

- 1.2.3 Parabolas

- 1.2.4 Some Non-Euclidean Geometry

- 2.1 The Concept of the Limit
- 2.1.1 Finding Rate of Change over an Interval

- 2.1.2 Finding Limits Graphically

- 2.1.3 The Formal Definition of a Limit

- 2.1.4 The Limit Laws, Part I

- 2.1.5 The Limit Laws, Part II

- 2.1.6 One-Sided Limits

- 2.1.7 The Squeeze Theorem

- 2.1.8 Continuity and Discontinuity

- 2.2 Evaluating Limits
- 2.2.1 Evaluating Limits

- 2.2.2 Limits and Indeterminate Forms

- 2.2.3 Two Techniques for Evaluating Limits

- 2.2.4 An Overview of Limits

- 3.1 Understanding the Derivative
- 3.1.1 Rates of Change, Secants, and Tangents

- 3.1.2 Finding Instantaneous Velocity

- 3.1.3 The Derivative

- 3.1.4 Differentiability

- 3.2 Using the Derivative
- 3.2.1 The Slope of a Tangent Line

- 3.2.2 Instantaneous Rate

- 3.2.3 The Equation of a Tangent Line

- 3.2.4 More on Instantaneous Rate

- 3.3 Some Special Derivatives
- 3.3.1 The Derivative of the Reciprocal Function

- 3.3.2 The Derivative of the Square Root Function

- 4.1 The Power Rule
- 4.1.1 A Shortcut for Finding Derivatives

- 4.1.2 A Quick Proof of the Power Rule

- 4.1.3 Uses of the Power Rule

- 4.2 The Product and Quotient Rules
- 4.2.1 The Product Rule

- 4.2.2 The Quotient Rule

- 4.3 The Chain Rule
- 4.3.1 An Introduction to the Chain Rule

- 4.3.2 Using the Chain Rule

- 4.3.3 Combining Computational Techniques

- 5.1 Trigonometric Functions
- 5.1.1 A Review of Trigonometry

- 5.1.2 Graphing Trigonometric Functions

- 5.1.3 The Derivatives of Trigonometric Functions

- 5.1.4 The Number Pi

- 5.2 Exponential Functions
- 5.2.1 Graphing Exponential Functions

- 5.2.2 Derivatives of Exponential Functions

- 5.3 Logarithmic Functions
- 5.3.1 Evaluating Logarithmic Functions

- 5.3.2 The Derivative of the Natural Log Function

- 5.3.3 Using the Derivative Rules with Transcendental Functions

- 6.1 Implicit Differentiation Basics
- 6.1.1 An Introduction to Implicit Differentiation

- 6.1.2 Finding the Derivative Implicitly

- 6.2 Applying Implicit Differentiation
- 6.2.1 Using Implicit Differentiation

- 6.2.2 Applying Implicit Differentiation

- 6.3 Inverse Functions
- 6.3.1 The Exponential and Natural Log Functions

- 6.3.2 Differentiating Logarithmic Functions

- 6.3.3 Logarithmic Differentiation

- 6.3.4 The Basics of Inverse Functions

- 6.3.5 Finding the Inverse of a Function

- 6.4 The Calculus of Inverse Functions
- 6.4.1 Derivatives of Inverse Functions

- 6.5 Inverse Trigonometric Functions
- 6.5.1 The Inverse Sine, Cosine, and Tangent Functions

- 6.5.2 The Inverse Secant, Cosecant, and Cotangent Functions

- 6.5.3 Evaluating Inverse Trigonometric Functions

- 6.6 The Calculus of Inverse Trigonometric Functions
- 6.6.1 Derivatives of Inverse Trigonometric Functions

- 6.7 The Hyperbolic Functions
- 6.7.1 Defining the Hyperbolic Functions

- 6.7.2 Hyperbolic Identities

- 6.7.3 Derivatives of Hyperbolic Functions

- 7.1 Position and Velocity
- 7.1.1 Acceleration and the Derivative

- 7.1.2 Solving Word Problems Involving Distance and Velocity

- 7.2 Linear Approximation
- 7.2.1 Higher-Order Derivatives and Linear Approximation

- 7.2.2 Using the Tangent Line Approximation Formula

- 7.2.3 Newton's Method

- 7.3 Optimization
- 7.3.1 The Connection Between Slope and Optimization

- 7.3.2 The Fence Problem

- 7.3.3 The Box Problem

- 7.3.4 The Can Problem

- 7.3.5 The Wire-Cutting Problem

- 7.4 Related Rates
- 7.4.1 The Pebble Problem

- 7.4.2 The Ladder Problem

- 7.4.3 The Baseball Problem

- 7.4.4 The Blimp Problem

- 7.4.5 Math Anxiety

- 8.1 Introduction
- 8.1.1 An Introduction to Curve Sketching

- 8.1.2 Three Big Theorems

- 8.1.3 Morale Moment

- 8.2 Critical Points
- 8.2.1 Critical Points

- 8.2.2 Maximum and Minimum

- 8.2.3 Regions Where a Function Increases or Decreases

- 8.2.4 The First Derivative Test

- 8.2.5 Math Magic

- 8.3 Concavity
- 8.3.1 Concavity and Inflection Points

- 8.3.2 Using the Second Derivative to Examine Concavity

- 8.3.3 The Möbius Band

- 8.4 Graphing Using the Derivative
- 8.4.1 Graphs of Polynomial Functions

- 8.4.2 Cusp Points and the Derivative

- 8.4.3 Domain-Restricted Functions and the Derivative

- 8.4.4 The Second Derivative Test

- 8.5 Asymptotes
- 8.5.1 Vertical Asymptotes

- 8.5.2 Horizontal Asymptotes and Infinite Limits

- 8.5.3 Graphing Functions with Asymptotes

- 8.5.4 Functions with Asymptotes and Holes

- 8.5.5 Functions with Asymptotes and Critical Points

- 9.1 Antiderivatives
- 9.1.1 Antidifferentiation

- 9.1.2 Antiderivatives of Powers of x

- 9.1.3 Antiderivatives of Trigonometric and Exponential Functions

- 9.2 Integration by Substitution
- 9.2.1 Undoing the Chain Rule

- 9.2.2 Integrating Polynomials by Substitution

- 9.3 Illustrating Integration by Substitution
- 9.3.1 Integrating Composite Trigonometric Functions by Substitution

- 9.3.2 Integrating Composite Exponential and Rational Functions by Substitution

- 9.3.3 More Integrating Trigonometric Functions by Substitution

- 9.3.4 Choosing Effective Function Decompositions

- 9.4 The Fundamental Theorem of Calculus
- 9.4.1 Approximating Areas of Plane Regions

- 9.4.2 Areas, Riemann Sums, and Definite Integrals

- 9.4.3 The Fundamental Theorem of Calculus, Part I

- 9.4.4 The Fundamental Theorem of Calculus, Part II

- 9.4.5 Illustrating the Fundamental Theorem of Calculus

- 9.4.6 Evaluating Definite Integrals

- 9.5 Trigonometric Substitution Strategy
- 9.5.1 An Overview of Trigonometric Substitution Strategy

- 9.5.2 Trigonometric Substitution Involving a Definite Integral: Part One

- 9.5.3 Trigonometric Substitution Involving a Definite Integral: Part Two

- 9.6 Numerical Integration
- 9.6.1 Deriving the Trapezoidal Rule

- 9.6.2 An Example of the Trapezoidal Rule

- 10.1 Motion
- 10.1.1 Antiderivatives and Motion

- 10.1.2 Gravity and Vertical Motion

- 10.1.3 Solving Vertical Motion Problems

- 10.2 Finding the Area between Two Curves
- 10.2.1 The Area between Two Curves

- 10.2.2 Limits of Integration and Area

- 10.2.3 Common Mistakes to Avoid When Finding Areas

- 10.2.4 Regions Bound by Several Curves

- 10.3 Integrating with Respect to y
- 10.3.1 Finding Areas by Integrating with Respect to y: Part One

- 10.3.2 Finding Areas by Integrating with Respect to y: Part Two

- 10.3.3 Area, Integration by Substitution, and Trigonometry

- 10.4 The Average Value of a Function
- 10.4.1 Finding the Average Value of a Function

- 10.5 Finding Volumes Using Cross-Sections
- 10.5.1 Finding Volumes Using Cross-Sectional Slices

- 10.5.2 An Example of Finding Cross-Sectional Volumes

- 10.6 Disks and Washers
- 10.6.1 Solids of Revolution

- 10.6.2 The Disk Method along the y-Axis

- 10.6.3 A Transcendental Example of the Disk Method

- 10.6.4 The Washer Method across the x-Axis

- 10.6.5 The Washer Method across the y-Axis

- 10.7 Shells
- 10.7.1 Introducing the Shell Method

- 10.7.2 Why Shells Can Be Better Than Washers

- 10.7.3 The Shell Method: Integrating with Respect to y

- 10.8 Work
- 10.8.1 An Introduction to Work

- 10.8.2 Calculating Work

- 10.8.3 Hooke's Law

- 10.9 Moments and Centers of Mass
- 10.9.1 Center of Mass

- 10.9.2 The Center of Mass of a Thin Plate

- 10.10 Arc Lengths and Functions
- 10.10.1 An Introduction to Arc Length

- 10.10.2 Finding Arc Lengths of Curves Given by Functions

- 11.1 Separable Differential Equations
- 11.1.1 An Introduction to Differential Equations

- 11.1.2 Solving Separable Differential Equations

- 11.1.3 Finding a Particular Solution

- 11.1.4 Direction Fields

- 11.1.5 Euler's Method for Solving Differential Equations Numerically

- 11.2 Growth and Decay Problems
- 11.2.1 Exponential Growth

- 11.2.2 Logistic Growth

- 11.2.3 Radioactive Decay

- 12.1 Indeterminate Quotients
- 12.1.1 Indeterminate Forms

- 12.1.2 An Introduction to L'Hôpital's Rule

- 12.1.3 Basic Uses of L'Hôpital's Rule

- 12.1.4 More Exotic Examples of Indeterminate Forms

- 12.2 Other Indeterminate Forms
- 12.2.1 L'Hôpital's Rule and Indeterminate Products

- 12.2.2 L'Hôpital's Rule and Indeterminate Differences

- 12.2.3 L'Hôpital's Rule and One to the Infinite Power

- 12.2.4 Another Example of One to the Infinite Power

- 12.3 Improper Integrals
- 12.3.1 The First Type of Improper Integral

- 12.3.2 The Second Type of Improper Integral

- 12.3.3 Infinite Limits of Integration, Convergence, and Divergence

- 13.1 Paradoxes
- 13.1.1 An Introduction to Paradoxes

- 13.1.2 Paradoxes and Air Safety

- 13.1.3 Newcomb's Paradox

- 13.1.4 Zeno's Paradox

- 13.2 Sequences
- 13.2.1 Fibonacci Numbers

- 13.2.2 The Golden Ratio

- 13.3 The Close of Calculus AB
- 13.3.1 A Glimpse Into Calculus II

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