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Thinkwell's AP Calculus BC with Professor Edward Burger Sample Video Lesson

Calculus BC compatible with AP®* Online Course

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Thinkwell's Calculus BC compatible with AP®*

Did you know that fewer than 50% of students taking the AP® Calculus exam make a 3 or above? The AP® Calculus BC exam is one of the toughest around. Get a leg up on this difficult subject by learning the fundamentals of calculus from award-winning professor Edward Burger.

Check out our Calculus AB compatible with AP®* here.

The Printed Notes (optional) are the Thinkwell Calculus course notes printed in color, on-the-go format.  You can read reviews of our math courses here.

*(AP® is a registered trademark of the College Board, which was not involved in the production of this product. This course is designed for self-study preparation for the AP® exam and has not been audited by the College Board.)

Course Features

Video Lessons

108 engaging 5-20 minute video lessons
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Lesson Plan

Detailed, 36-week lesson plan and schedule
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Assessments

Automatically graded exercises and tests with step-by-step feedback
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Notes & Sample Problems

Illustrated course notes, sample problems & solutions
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What Parents Are Saying. . .
“We ordered a subscription of the Calculus for my son who was to retake the AP Calculus B/C exam after scoring a 3 the first time around. He watched the videos at his leisure, focusing on content that he needed to review. He ended up with a 5 on the AP exam thanks to Thinkwell. We highly recommend them!”
– Rebecca O
“Thinkwell Math is the best product out there for students headed into a math or science field in college. My son used Thinkwell Calculus, took the AP Calculus BC test, and scored a 5, allowing him to go directly into Calculus III in college. He loved Dr. Burger and learned so much from the course! My other children will be using it as well.”
– Linda
"My eldest daughter, now a college freshman, used Thinkwell's Precalculus and AP Calculus. With the help of their incredible teacher, Ed Burger, she scored a perfect 5 on her AP exam and received full college credit! Ed Burger is humorous and organized. The course is very comprehensive."
– Barbara H
Course Overview

What you get

  • 12-month, online subscription to our complete Calculus BC compatible with AP® course
  • 36-week, day-by-day course lesson plan
  • 100+ course lessons, each with a streaming video
  • Illustrated notes
  • Automatically graded drill-and-practice exercises with step-by-step answer feedback
  • Sample problems with solutions
  • Chapter & Practice tests, a Midterm & Final Exam
  • Animated interactivities....and more!

How it works

  • Purchase Thinkwell's Calculus BC compatible with AP® through our online store
  • Create an account username and password which will give you access to the online Calculus BC compatible with AP® course section
  • Activate your 12-month subscription when you're ready
  • Login to the course website to access the online course materials, including streaming video lessons, exercises, tests and more
  • Access your course anytime, anywhere, from any device
  • Your work is automatically tracked and updated in real-time
  • Grade reports and certificates of completion are available at request
Thinkwell's Calculus BC compatible with AP® Author, Edward Burger

Learn from award-winning mathematician Dr. Edward Burger

It's like having a world-class college professor right by your side teaching you Calculus.

  • "Global Hero in Education" by Microsoft Corporation
  • "America's Best Math Teacher" by Reader's Digest
  • Robert Foster Cherry Award Winner for Great Teaching
Thinkwell's Calculus BC compatible with AP® Table of Contents
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1. Unit 1: Limits and Continuity

1.1 Limits and Continuity
1.1.1 An Introduction to Thinkwell Calculus
1.1.2 The Two Questions of Calculus
1.1.3 How to Do Math
1.1.4 Average Rates of Change
1.1.5 Finding Rate of Change over an Interval
1.1.6 Finding Limits Graphically
1.1.7 The Limit Laws, Part I
1.1.8 The Limit Laws, Part II
1.1.9 One-Sided Limits
1.1.10 The Squeeze Theorem
1.1.11 Continuity and Discontinuity
1.1.12 Evaluating Limits
1.1.13 Limits and Indeterminate Forms
1.1.14 Two Techniques for Evaluating Limits
1.1.15 An Overview of Limits
1.1.16 Vertical Asymptotes
1.1.17 Horizontal Asymptotes and Infinite Limits
1.1.18 Three Big Theorems

2. Unit 2: Differentiation: Definition and Basic Derivative Rules

2.1 Differentiation: Definition and Basic Derivative Rules
2.1.1 Rates of Change, Secants, and Tangents
2.1.2 Finding Instantaneous Velocity
2.1.3 The Derivative
2.1.4 Instantaneous Rate
2.1.5 The Slope of a Tangent Line
2.1.6 The Equation of a Tangent Line
2.1.7 Differentiability
2.1.8 The Derivative of the Reciprocal Function
2.1.9 The Derivative of the Square Root Function
2.1.10 A Shortcut for Finding Derivatives
2.1.11 A Quick Proof of the Power Rule
2.1.12 Uses of the Power Rule
2.1.13 The Product Rule
2.1.14 The Quotient Rule
2.1.15 The Derivatives of Trigonometric Functions
2.1.16 Derivatives of Exponential Functions
2.1.17 The Derivative of the Natural Log Function

3. Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

3.1 Differentiation: Composite, Implicit, and Inverse Functions
3.1.1 An Introduction to the Chain Rule
3.1.2 Using the Chain Rule
3.1.3 Combining Computational Techniques
3.1.4 Using the Derivative Rules with Transcendental Functions
3.1.5 An Introduction to Implicit Differentiation
3.1.6 Finding the Derivative Implicitly
3.1.7 Differentiating Logarithmic Functions
3.1.8 Logarithmic Differentiation
3.1.9 Derivatives of Inverse Functions
3.1.10 Derivatives of Inverse Trigonometric Functions
3.1.11 Higher-Order Derivatives and Linear Approximation

4. Unit 4: Contextual Applications of Differentiation

4.1 Contextual Applications of Differentiation
4.1.1 Acceleration and the Derivative
4.1.2 More on Instantaneous Rate
4.1.3 Solving Word Problems Involving Distance and Velocity
4.1.4 The Pebble Problem
4.1.5 The Ladder Problem
4.1.6 The Baseball Problem
4.1.7 The Blimp Problem
4.1.8 Math Anxiety
4.1.9 Higher-Order Derivatives and Linear Approximation
4.1.10 Using the Tangent Line Approximation Formula
4.1.11 Indeterminate Forms
4.1.12 An Introduction to L'Hôpital's Rule
4.1.13 Basic Uses of L'Hôpital's Rule
4.1.14 More Exotic Examples of Indeterminate Forms

5. Unit 5: Analytical Applications of Differentiation

5.1 Analytical Applications of Differentiation
5.1.1 Three Big Theorems
5.1.2 Critical Points
5.1.3 Maximum and Minimum
5.1.4 Regions Where a Function Increases or Decreases
5.1.5 The First Derivative Test
5.1.6 Concavity and Inflection Points
5.1.7 Using the Second Derivative to Examine Concavity
5.1.8 Graphs of Polynomial Functions
5.1.9 Cusp Points and the Derivative
5.1.10 Domain-Restricted Functions and the Derivative
5.1.11 The Second Derivative Test
5.1.12 Graphing Functions with Asymptotes
5.1.13 Functions with Asymptotes and Holes
5.1.14 Functions with Asymptotes and Critical Points
5.1.15 Morale Moment
5.1.16 The Connection Between Slope and Optimization
5.1.17 The Fence Problem
5.1.18 The Box Problem
5.1.19 The Can Problem
5.1.20 The Wire-Cutting Problem
5.1.21 Using Implicit Differentiation
5.1.22 Applying Implicit Differentiation

6. Unit 6: Integration and Accumulation of Change

6.1 Integration and Accumulation of Change
6.1.1 Antidifferentiation
6.1.2 Antiderivatives of Powers of x
6.1.3 Antiderivatives of Trigonometric and Exponential Functions
6.1.4 Undoing the Chain Rule
6.1.5 Integrating Polynomials by Substitution
6.1.6 Integrating Composite Trigonometric Functions by Substitution
6.1.7 Integrating Composite Exponential and Rational Functions by Substitution
6.1.8 More Integrating Trigonometric Functions by Substitution
6.1.9 Choosing Effective Function Decompositions
6.1.10 Approximating Areas of Plane Regions
6.1.11 Areas, Riemann Sums, and Definite Integrals
6.1.12 The Fundamental Theorem of Calculus, Part I
6.1.13 The Fundamental Theorem of Calculus, Part II
6.1.14 Illustrating the Fundamental Theorem of Calculus
6.1.15 Evaluating Definite Integrals
6.1.16 Long Division
6.1.17 More Calculus of Inverse Trigonometric Functions
6.1.18 Deriving the Trapezoidal Rule
6.1.19 An Example of the Trapezoidal Rule
6.1.20 An Introduction to Integrals with Powers of Sine and Cosine
6.1.21 Integrals with Powers of Sine and Cosine
6.1.22 Integrals with Even and Odd Powers of Sine and Cosine
6.1.23 Integrals of Other Trigonometric Functions
6.1.24 Integrals with Odd Powers of Tangent and Any Power of Secant
6.1.25 Integrals with Even Powers of Secant and Any Power of Tangent
6.1.26 An Introduction to Integration by Parts
6.1.27 Applying Integration by Parts to the Natural Log Function
6.1.28 Inspirational Examples of Integration by Parts
6.1.29 Repeated Application of Integration by Parts
6.1.30 Algebraic Manipulation and Integration by Parts
6.1.31 Finding Partial Fraction Decompositions
6.1.32 Partial Fractions
6.1.33 The First Type of Improper Integral
6.1.34 The Second Type of Improper Integral
6.1.35 Infinite Limits of Integration, Convergence, and Divergence

7. Unit 7: Differential Equations

7.1 Differential Equations
7.1.1 An Introduction to Differential Equations
7.1.2 Direction Fields
7.1.3 Euler's Method for Solving Differential Equations Numerically
7.1.4 Solving Separable Differential Equations
7.1.5 Finding a Particular Solution
7.1.6 Exponential Growth
7.1.7 Radioactive Decay
7.1.8 Logistic Growth

8. Unit 8: Applications of Integration

8.1 Applications of Integration
8.1.1 Finding the Average Value of a Function
8.1.2 Antiderivatives and Motion
8.1.3 Gravity and Vertical Motion
8.1.4 Solving Vertical Motion Problems
8.1.5 The Area between Two Curves
8.1.6 Limits of Integration and Area
8.1.7 Finding Areas by Integrating with Respect to y: Part One
8.1.8 Finding Areas by Integrating with Respect to y: Part Two
8.1.9 Area, Integration by Substitution, and Trigonometry
8.1.10 Common Mistakes to Avoid When Finding Areas
8.1.11 Regions Bound by Several Curves
8.1.12 Finding Volumes Using Cross-Sectional Slices
8.1.13 An Example of Finding Cross-Sectional Volumes
8.1.14 Solids of Revolution
8.1.15 The Disk Method along the y-Axis
8.1.16 A Transcendental Example of the Disk Method
8.1.17 The Washer Method across the x-Axis
8.1.18 The Washer Method across the y-Axis
8.1.19 An Introduction to Arc Length
8.1.20 Finding Arc Lengths of Curves Given by Functions

9. Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

9.1 Parametric Equations, Polar Coordinates, and Vector-Valued Functions
9.1.1 An Introduction to Parametric Equations
9.1.2 The Cycloid
9.1.3 Eliminating Parameters
9.1.4 Derivatives of Parametric Equations
9.1.5 Graphing the Elliptic Curve
9.1.6 The Arc Length of a Parameterized Curve
9.1.7 Finding Arc Lengths of Curves Given by Parametric Equations
9.1.8 Introduction to Vector Functions
9.1.9 Derivatives of Vector Functions
9.1.10 Vector Functions: Velocity and Acceleration
9.1.11 The Polar Coordinate System
9.1.12 Converting between Polar and Cartesian Forms
9.1.13 Spirals and Circles
9.1.14 Graphing Some Special Polar Functions
9.1.15 Calculus and the Rose Curve
9.1.16 Finding the Slopes of Tangent Lines in Polar Form
9.1.17 Heading toward the Area of a Polar Region
9.1.18 Finding the Area of a Polar Region: Part One
9.1.19 Finding the Area of a Polar Region: Part Two
9.1.20 The Area of a Region Bounded by Two Polar Curves: Part One
9.1.21 The Area of a Region Bounded by Two Polar Curves: Part Two

10. Unit 10: Infinite Sequences and Series

10.1 Infinite Sequences and Series
10.1.1 An Introduction to Infinite Series
10.1.2 The Summation of Infinite Series
10.1.3 Geometric Series
10.1.4 Properties of Convergent Series
10.1.5 The nth-Term Test for Divergence
10.1.6 An Introduction to the Integral Test
10.1.7 Examples of the Integral Test
10.1.8 Using the Integral Test
10.1.9 Defining p-Series
10.1.10 An Introduction to the Direct Comparison Test
10.1.11 Using the Direct Comparison Test
10.1.12 An Introduction to the Limit Comparison Test
10.1.13 Using the Limit Comparison Test
10.1.14 Inverting the Series in the Limit Comparison Test
10.1.15 Alternating Series
10.1.16 The Alternating Series Test
10.1.17 Estimating the Sum of an Alternating Series
10.1.18 Absolute and Conditional Convergence
10.1.19 The Ratio Test
10.1.20 Examples of the Ratio Test
10.1.21 Polynomial Approximation of Elementary Functions
10.1.22 Higher-Degree Approximations
10.1.23 Taylor Polynomials
10.1.24 Maclaurin Polynomials
10.1.25 The Remainder of a Taylor Polynomial
10.1.26 Approximating the Value of a Function
10.1.27 Taylor Series
10.1.28 Examples of the Taylor and Maclaurin Series
10.1.29 New Taylor Series
10.1.30 The Convergence of Taylor Series
10.1.31 The Definition of Power Series
10.1.32 The Interval and Radius of Convergence
10.1.33 Finding the Interval and Radius of Convergence: Part One
10.1.34 Finding the Interval and Radius of Convergence: Part Two
10.1.35 Finding the Interval and Radius of Convergence: Part Three
10.1.36 Differentiation and Integration of Power Series
10.1.37 Finding Power Series Representations by Differentiation
10.1.38 Finding Power Series Representations by Integration
10.1.39 Integrating Functions Using Power Series

11. Practice AP Exams

11.1 Practice AP Exam #1
11.2 Practice AP Exam #2
Frequently Asked Questions for Thinkwell's Calculus BC compatible with AP®

How do Thinkwell courses work?

Your student watches a 5-20 minute online video lesson, completes the automatically graded exercises for the topic with instant correct-answer feedback, then moves on to the next lesson! The courses are self-paced, or you can use the daily lesson plans. Just like a textbook, you can choose where to start and end, or follow the entire course.

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It starts when you're ready. You can have instant access to your online subscription when you purchase online, or you can purchase now and start later.

Is Thinkwell Calculus BC® compatible with AP® certified by the College Board®?

The College Board® states at their website: “The AP Course Audit process is designed to review AP courses in their entirety, so only schools (whether brick-and-mortar or virtual) can submit course syllabi for review.” Since Thinkwell is a publisher and not a school, our materials can’t be certified. We strive to make this distinction, which is why you see this statement: AP® is a registered trademark of the College Board, which was not involved in its production. This course is designed for self-study preparation for the AP® exam and has not been audited by the College Board®.

Does my student get school credit for Thinkwell Calculus BC®?

No, only schools are accredited and Thinkwell is not a school, though many accredited schools use Thinkwell. Getting AP® credit is accomplished by taking the AP exam®.

What’s the difference between the Thinkwell Calculus course and the separate AP® versions?

The content of Thinkwell’s Calculus is very similar to the AB and BC course versions. So in a sense, you may feel like you’re getting a two-for-one deal, which is great. However, the College Board offers the Calculus BC & BC exams these ways: 1) Take the CAL AB exam only, 2) Take the CAL AB & BC exams sequentially (one each year), or 3) Skip the CAL AB and take the BC since it includes AB. Therefore, for #1 use our AB course, for #2 use our AB course then our BC course next year, and for #3 use our BC course so you get both semesters in one year.

What if my student needs access to the course for more than 12 months?

You can extend your subscription for $19.95/month.

Can I share access with more than one student?

The courses are designed and licensed to accommodate one student per username and password; additional students need to purchase online access. This allows parents to keep track of each student's progress and grades.

How long does it take to complete Thinkwell Calculus BC®?

Our Calculus BC course now includes the AB content as well as the BC content. The pace of your course is up to you, but most students will schedule one semester if they already have covered the AB content, and a full year if they intend to cover both AB and BC content.

Can I see my grade?

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How are grades calculated?

The course grade is calculated this way: Chapter Tests 33.3%, Midterm: 33.3%, Final: 33.3%.

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As a homeschool parent, you decide the level of performance you want your student to achieve; the course does not limit access to topics based on performance on prior topics.

Can I get a transcript?

Yes, there's a final grade report print option in the My Grades section. Contact techsupport@thinkwell.com with any questions.

What if I change my mind and want to do a different math course, can I change?

If you discover that you should be in a different course, contact techsupport@thinkwell.com within one week of purchase and we will move you to the appropriate course.

Can I print the exercises?

Yes, but completing the exercises online provides immediate correct answer feedback and automatic scoring, so we recommend answering the exercises online.

Are exercises multiple choice?

The exercises are multiple choice and they are graded automatically with correct answer solutions.

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We offer a full refund of 12-month subscription purchases within 14 days of purchase, no questions asked. For Essential Review courses, the refund period is 3 days. Optional printed materials are printed on demand and the sales are final.

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Do I get credits for a Thinkwell course?

Generally, only schools can award credits, and Thinkwell is not a school. We can provide you by request with a certificate of completion, grade report, and transcript with a suggested credit. If you are working with a school towards a diploma or degree, please contact that organization to ensure they will accept a Thinkwell course for credit. Thinkwell will send a transcript directly to any institution or organization by request.

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