Calculus 2 Essentials


Thinkwell's Calculus 2 Essentials with Professor Edward Burger

This brief course reviews key concepts your student saw their Calculus course at home or in school.  It is not intended to replace a full-year Calculus course.  

This short review course can be completed in less than 40 days. It's a perfect fit for anyone wanting to prepare for high-stakes tests in Calculus.

Taught by award-winning mathematician and professor Edward Burger with online videos, automatically graded exercises, step-by-step explanations, and sample worked problems, this short-form course has everything your student needs to succeed. 

Course Features

Video Lessons

75+ engaging video lessons
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Auto-Graded Assessments
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Notes and Sample Problems
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Certificate of Completion

Certificate of Completion
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What Parents Are Saying...
Thinkwell Math is the most amazing high school level math! I searched for years for a curriculum that would meet the needs of vigorous learning and an understanding of difficult concepts...When shown to a local AP Teacher who was doubtful of our AP Calculus homeschool curriculum she said, "He's good! If they learn from this, they don't need my class!"
– Mrs B.
"We've used Thinkwell for a number of years now, starting with Pre-Algebra and going up to Algebra 2. We all love watching Professor Burger's video lectures. They are long enough to explain things well, and he is not only a great teacher but also very entertaining, which is a huge benefit when trying to learn topics such as linear functions! The content is very rich. I like how there is a pencil and paper component to each lesson. All in all, a terrific program that we've been very happy to use!”
– Becky
"After reluctantly persevering with a couple of other math programs, we finally found Thinkwell. The humorous lectures are concise, easy to understand and delivered in manageable sizes. We don't have to endure the tedious repetition found in so many other programs. Having lessons online is a win for our family - this medium is so acceptable for the current generation. Doing the exercises online saves us a lot of time because the marking and correction is done immediately. Now that we've found Thinkwell we're staying with it.”
– Judy N.
"We have used Thinkwell for two school years now, 7th and 8th Math, as well as Geometry and Algebra 2. It is the favorite math program with both my son and daughter. They enjoy the teacher and his presentations, and feel they are very clear and complete. The few times we have been stumped and unable to understand, we have sent questions in and received prompt, clear answers. For us, Thinkwell has been a blessing, and we intend to continue to use it for the rest of our math needs. We have also shared this news with our friends, and several have also been won over to the Thinkwell side!”
– DeLena J.
Course Overview

What You Get

  • 3-month, online subscription to our complete Calculus 2 Essentials course
  • 75+ course lessons
  • Automatically graded drill-and-practice exercises with step-by-step answer feedback
  • Downloadable, printable course study notes & sample problems
  • Automatically graded quizzes
  • Skills assessment test with personalized study path feedback
  • Animated interactivities....and more!

How It Works

  • Purchase Thinkwell's Calculus 2 Essentials through our online store and activate your 3-month subscription when you're ready
  • Take a brief diagnostic that creates a fast-track plan for topics where your student might need work
  • 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 upon request
  • Need more info? Download our How This Course Works guide
Learn From Award-Winning Professor and Mathematician, Dr. Edward Burger

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

  • "Global Hero in Education" by Microsoft Corporation
  • "America's Best Math Teacher" by Reader's Digest
  • Robert Foster Cherry Award Winner for Great Teaching
Caculus 2 Essential Skills Contents
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Essential Skill Review

Indeterminate Forms
Basic Uses of L'Hôpital's Rule
L'Hôpital's Rule and Indeterminate Products
L'Hôpital's Rule and Indeterminate Differences
L'Hôpital's Rule and One to the Infinite Power
Differentiating Logarithmic Functions
Logarithmic Differentiation
Derivatives of Inverse Functions
Derivatives of Inverse Trigonometric Functions
Derivatives of Hyperbolic Functions

Techniques of Integration

Making u-Substitutions
An Introduction to Integrals with Powers of Sine and Cosine
Integrals with Powers of Sine and Cosine
Integrals with Even and Odd Powers of Sine and Cosine
Integrals of Other Trigonometric Functions
Integrals with Odd Powers of Tangent and Any Power of Secant
Integrals with Even Powers of Secant and Any Power of Tangent
An Introduction to Integration by Parts
Applying Integration by Parts to the Natural Log Function
Algebraic Manipulation and Integration by Parts
Using Trigonometric Substitution to Integrate Radicals
Trigonometric Substitutions on Rational Powers
Trigonometric Substitution Involving a Definite Integral: Part One
Trigonometric Substitution Involving a Definite Integral: Part Two

Improper Integrals and Applications of Integral Calculus

The First Type of Improper Integral
The Second Type of Improper Integral
Infinite Limits of Integration, Convergence, and Divergence
Finding Volumes Using Cross-Sectional Slices
Solids of Revolution
The Disk Method along the y-Axis
The Washer Method across the x-Axis
The Washer Method across the y-Axis
The Shell Method: Integrating with Respect to y
Hooke's Law

Sequences and Series

The Limit of a Sequence
Determining the Limit of a Sequence
The Squeeze and Absolute Value Theorems
Monotonic and Bounded Sequences
An Introduction to Infinite Series
The Summation of Infinite Series
Geometric Series
Properties of Convergent Series
The nth-Term Test for Divergence
Using the Integral Test
Defining p-Series
Using the Direct Comparison Test
Using the Limit Comparison Test
The Alternating Series Test
The Ratio Test
The Root Test

Taylor and Maclaurin Series and Power Series

Taylor Polynomials
Maclaurin Polynomials
Taylor Series
Examples of the Taylor and Maclaurin Series
New Taylor Series
The Convergence of Taylor Series
The Definition of Power Series
The Interval and Radius of Convergence
Differentiation and Integration of Power Series
Finding Power Series Representations by Differentiation
Finding Power Series Representations by Integration
Integrating Functions Using Power Series

Differential Equations

An Introduction to Differential Equations
Solving Separable Differential Equations
Euler's Method for Solving Differential Equations Numerically
Separating Homogeneous Differential Equations
Change of Variables
Exponential Growth
Logistic Growth
Radioactive Decay
First-Order Linear Differential Equations

Parametric Equations, Polar Coordinates, and Vector Functions

Derivatives of Parametric Equations
Finding Arc Lengths of Curves Given by Parametric Equations
The Polar Coordinate System
Finding the Area of a Polar Region: Part One
Finding the Area of a Polar Region: Part Two
The Area of a Region Bounded by Two Polar Curves: Part One
The Area of a Region Bounded by Two Polar Curves: Part Two
Introduction to Vector Functions
Derivatives of Vector Functions
Vector Functions: Velocity and Acceleration

Final Review

Frequently Asked Questions

How do Thinkwell "Essentials" courses work?

This short course is designed to ensure your student masters the essential skills of Calculus 2. Your student completes an assessment that provides a fast-track plan for the topics they need to complete. Each topic has a 5-10 minute online video lesson with additional exercises and instant correct-answer feedback. With approximately 50 topics in all, the course is self-paced and individualized to each student. Alternatively, you can choose where to start and end or follow the standard table of contents.

When does my 3-month online subscription start?

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

Does my student get school credit for Thinkwell's Calculus 2 Essentials?

No, only schools are accredited, and Thinkwell is not a school, though many accredited schools use Thinkwell.

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

We suggest you enroll in Thinkwell's Calculus, which is a 12-month subscription.

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, which allows parents to keep track of each student's progress and grades.

How long does it take to complete Thinkwell's Calculus 2 Essentials?

The pace of your course is up to you but should be less than 50 lesson days.

Can I see my grade?

Thinkwell's course software tracks everything your student does. When logged in, your student can click "My Grades" to see their progress.

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?

Most of the exercises are multiple choice, and they are automatically graded 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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