Precalculus Essentials


Thinkwell's Precalculus Essentials with Professor Edward Burger

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

If your student recently completed Precalculus, either at home or at school, are they ready for Calculus?  This short review course is completed in less than 40 days, and it's a perfect way to prepare for success in Calculus and beyond.

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

40+ engaging video lessons
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Auto-Graded Assessments
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Notes and Sample Problems
View Sample Notes

Certificate of Completion

Certificate of Completion
View Sample Certificate
What Parents Are Saying...
"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 Precalculus Essentials course
  • 40+ 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 Precalculus 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 (maximum 40 topics)
  • 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
Precalculus Essential Skills Contents
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Optional Essential Skill Review

Rationalizing Denominators
Factoring by Any Method
Writing Rational Expressions in Lowest Terms
Introducing and Writing Complex Numbers
Finding the x- and y-Intercepts of an Equation
Functions and the Vertical Line Test
Identifying Functions
Function Notation and Finding Function Values
Graphing Some Important Functions
Finding the Quadrant in Which an Angle Lies
Finding Coterminal Angles
Finding the Complement and Supplement of an Angle

Right Triangle Trigonometry

Converting between Degrees and Radians
An Introduction to the Trigonometric Functions
Evaluating Trigonometric Functions for an Angle in a Right Triangle
Finding an Angle Given the Value of a Trigonometric Function
Using Trigonometric Functions to Find Unknown Sides of Right Triangles
Finding the Height of a Building
Evaluating Trigonometric Functions for an Angle in the Coordinate Plane
Evaluating Trigonometric Functions Using the Reference Angle
Finding the Value of Trigonometric Functions Given Information about the Values of Other Trigonometric Functions
Trigonometric Functions of Important Angles

Graphing Trigonometric Functions

An Introduction to the Graphs of Sine and Cosine Functions
Graphing Sine or Cosine Functions with Different Coefficients
Finding Maximum and Minimum Values and Zeros of Sine and Cosine
Solving Word Problems Involving Sine or Cosine Functions
Graphing Sine and Cosine Functions with Phase Shifts
Fancy Graphing: Changes in Period, Amplitude, Vertical Shift, and Phase Shift
Graphing the Tangent, Secant, Cosecant, and Cotangent Functions
Fancy Graphing: Tangent, Secant, Cosecant, and Cotangent
Identifying a Trigonometric Function from its Graph
An Introduction to Inverse Trigonometric Functions
Evaluating Inverse Trigonometric Functions

Trigonometric Identities, Expressions, and Equations

Fundamental Trigonometric Identities
Finding All Function Values
Simplifying a Trigonometric Expression Using Trigonometric Identities
Simplifying Trigonometric Expressions Involving Fractions
Simplifying Products of Binomials Involving Trigonometric Functions
Factoring Trigonometric Expressions
Solving Trigonometric Equations
Solving Trigonometric Equations by Factoring
Solving Trigonometric Equations with Coefficients in the Argument
Solving Trigonometric Equations Using the Quadratic Formula
Solving Word Problems Involving Trigonometric Equations

Other Identities and Applications of Trigonometry

Identities for Sums and Differences of Angles
Using Sum and Difference Identities
Using Sum and Difference Identities to Simplify an Expression
Using Double-Angle Identities
The Law of Sines
Solving a Triangle Given Two Sides and One Angle
Solving a Triangle (SAS): Another Example
The Law of Sines: An Application
The Law of Cosines
The Law of Cosines (SSS)
The Law of Cosines (SAS): An Application
Frequently Asked Questions

How do Thinkwell "Essentials" courses work?

This short course is designed to ensure your student masters the essential skills of Precalculus. 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 40 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 Precalculus 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 Precalculus, 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 Precalculus Essentials?

The pace of your course is up to you but should be less than 40 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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