Calculus BC compatible with AP®*


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.

The Printed Notes (optional) are the Thinkwell Calculus course notes printed in a color, on-the-go format.

*(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.)

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Course Features

Video Lessons

108 engaging 5-20 minute video lessons
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Lesson Plan

Detailed, 25-week lesson plan and schedule
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Automatically graded practice and chapter tests
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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
  • 25-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
  • Transcripts, 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. An Introduction to Calculus BC

1.1 Introduction
1.1.1 Welcome to Calculus II
1.1.2 Review: Calculus I in 20 Minutes

2. Techniques of Integration

2.1 Integration Using Tables
2.1.1 An Introduction to the Integral Table
2.1.2 Making u-Substitutions
2.2 Integrals Involving Powers of Sine and Cosine
2.2.1 An Introduction to Integrals with Powers of Sine and Cosine
2.2.2 Integrals with Powers of Sine and Cosine
2.2.3 Integrals with Even and Odd Powers of Sine and Cosine
2.3 Integrals Involving Powers of Other Trigonometric Functions
2.3.1 Integrals of Other Trigonometric Functions
2.3.2 Integrals with Odd Powers of Tangent and Any Power of Secant
2.3.3 Integrals with Even Powers of Secant and Any Power of Tangent
2.4 An Introduction to Integration by Partial Fractions
2.4.1 Finding Partial Fraction Decompositions
2.4.2 Partial Fractions
2.4.3 Long Division
2.5 Integration by Partial Fractions with Repeated Factors
2.5.1 Repeated Linear Factors: Part One
2.5.2 Repeated Linear Factors: Part Two
2.5.3 Distinct and Repeated Quadratic Factors
2.5.4 Partial Fractions of Transcendental Functions
2.6 Integration by Parts
2.6.1 An Introduction to Integration by Parts
2.6.2 Applying Integration by Parts to the Natural Log Function
2.6.3 Inspirational Examples of Integration by Parts
2.6.4 Repeated Application of Integration by Parts
2.6.5 Algebraic Manipulation and Integration by Parts
2.7 An Introduction to Trigonometric Substitution
2.7.1 Converting Radicals into Trigonometric Expressions
2.7.2 Using Trigonometric Substitution to Integrate Radicals
2.7.3 Trigonometric Substitutions on Rational Powers
2.8 Trigonometric Substitution Strategy
2.8.1 An Overview of Trigonometric Substitution Strategy
2.8.2 Trigonometric Substitution Involving a Definite Integral: Part One
2.8.3 Trigonometric Substitution Involving a Definite Integral: Part Two
2.9 The Calculus of Inverse Trigonometric Functions
2.9.1 More Calculus of Inverse Trigonometric Functions

3. Parametric Equations and Polar Coordinates

3.1 Understanding Parametric Equations
3.1.1 An Introduction to Parametric Equations
3.1.2 The Cycloid
3.1.3 Eliminating Parameters
3.2 Calculus and Parametric Equations
3.2.1 Derivatives of Parametric Equations
3.2.2 Graphing the Elliptic Curve
3.2.3 The Arc Length of a Parameterized Curve
3.2.4 Finding Arc Lengths of Curves Given by Parametric Equations
3.3 Understanding Polar Coordinates
3.3.1 The Polar Coordinate System
3.3.2 Converting between Polar and Cartesian Forms
3.3.3 Spirals and Circles
3.3.4 Graphing Some Special Polar Functions
3.4 Polar Functions and Slope
3.4.1 Calculus and the Rose Curve
3.4.2 Finding the Slopes of Tangent Lines in Polar Form
3.5 Polar Functions and Area
3.5.1 Heading toward the Area of a Polar Region
3.5.2 Finding the Area of a Polar Region: Part One
3.5.3 Finding the Area of a Polar Region: Part Two
3.5.4 The Area of a Region Bounded by Two Polar Curves: Part One
3.5.5 The Area of a Region Bounded by Two Polar Curves: Part Two

4. Sequences and Series

4.1 Sequences
4.1.1 The Limit of a Sequence
4.1.2 Determining the Limit of a Sequence
4.1.3 The Squeeze and Absolute Value Theorems
4.2 Monotonic and Bounded Sequences
4.2.1 Monotonic and Bounded Sequences
4.3 Infinite Series
4.3.1 An Introduction to Infinite Series
4.3.2 The Summation of Infinite Series
4.3.3 Geometric Series
4.3.4 Telescoping Series
4.3.5 Applications of Series
4.4 Convergence and Divergence
4.4.1 Properties of Convergent Series
4.4.2 The nth-Term Test for Divergence
4.5 The Integral Test
4.5.1 An Introduction to the Integral Test
4.5.2 Examples of the Integral Test
4.5.3 Using the Integral Test
4.5.4 Defining p-Series
4.6 The Direct Comparison Test
4.6.1 An Introduction to the Direct Comparison Test
4.6.2 Using the Direct Comparison Test
4.7 The Limit Comparison Test
4.7.1 An Introduction to the Limit Comparison Test
4.7.2 Using the Limit Comparison Test
4.7.3 Inverting the Series in the Limit Comparison Test
4.8 The Alternating Series
4.8.1 Alternating Series
4.8.2 The Alternating Series Test
4.8.3 Estimating the Sum of an Alternating Series
4.9 Absolute and Conditional Convergences
4.9.1 Absolute and Conditional Convergence
4.10 The Ratio and Root Tests
4.10.1 The Ratio Test
4.10.2 Examples of the Ratio Test
4.10.3 The Root Test
4.11 Polynomial Approximations of Elementary Functions
4.11.1 Polynomial Approximation of Elementary Functions
4.11.2 Higher-Degree Approximations
4.12 Taylor and Maclaurin Polynomials
4.12.1 Taylor Polynomials
4.12.2 Maclaurin Polynomials
4.12.3 The Remainder of a Taylor Polynomial
4.12.4 Approximating the Value of a Function
4.13 Taylor and Maclaurin Series
4.13.1 Taylor Series
4.13.2 Examples of the Taylor and Maclaurin Series
4.13.3 New Taylor Series
4.13.4 The Convergence of Taylor Series
4.14 Power Series
4.14.1 The Definition of Power Series
4.14.2 The Interval and Radius of Convergence
4.14.3 Finding the Interval and Radius of Convergence: Part One
4.14.4 Finding the Interval and Radius of Convergence: Part Two
4.14.5 Finding the Interval and Radius of Convergence: Part Three
4.15 Power Series Representations of Functions
4.15.1 Differentiation and Integration of Power Series
4.15.2 Finding Power Series Representations by Differentiation
4.15.3 Finding Power Series Representations by Integration
4.15.4 Integrating Functions Using Power Series

5. Differential Equations

5.1 Solving a Homogeneous Differential Equation
5.1.1 Separating Homogeneous Differential Equations
5.1.2 Change of Variables
5.2 Solving First-Order Linear Differential Equations
5.2.1 First-Order Linear Differential Equations
5.2.2 Using Integrating Factors

6. Vector Calculus and the Geometry of R2 and R3

6.1 Vectors and the Geometry of R2 and R3
6.1.1 Coordinate Geometry in Three-Dimensional Space
6.1.2 Introduction to Vectors
6.1.3 Vectors in R2 and R3
6.1.4 An Introduction to the Dot Product
6.1.5 Orthogonal Projections
6.1.6 An Introduction to the Cross Product
6.1.7 Geometry of the Cross Product
6.1.8 Equations of Lines and Planes in R3
6.2 Vector Functions
6.2.1 Introduction to Vector Functions
6.2.2 Derivatives of Vector Functions
6.2.3 Vector Functions: Smooth Curves
6.2.4 Vector Functions: Velocity and Acceleration
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.

When does my 12-month online subscription start?

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 regular CAL 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 purchase extra time in one-month, three-month, and six-month increments.

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®?

The pace of your course is up to you, but most students will schedule one semester.

Can I see my grade?

Thinkwell courses track everything your student does. When logged in, your student can click "My Grades" to see their progress.

How are grades calculated?

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

What is acceptable performance on the exams?

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?

You can contact to request a file with your student's grades.

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 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.

Is there a guarantee?

Yes, we offer a full refund within three business days of purchase, no questions asked.

How does my school review this course?

Should your school need to review a Thinkwell course for any reason, have the school contact and we can provide them access to a demo site.

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