17Calculus - The Complete University-Level Calculus, Science and Engineering Site

SV Calculus

MV Calculus

Differential Equations

Advanced Calculus

Interesting Calculus Uses






Calculus 1 Practice

Calculus 2 Practice

Practice Exams

Calculus Tools

Learning Tools


Are you starting calculus soon? Check out the page on how to prepare for calculus 1.

Are you done with calculus 1? Check to see if you are ready for calculus 2.

"17Calculus might appear intimidating, but it’s an exhaustive, complete guide to college-level calculus."
wikiHow - How to Relearn Math

"17Calculus is an excellent site for college level calculus."
MakeUseOf.com - The 20 Websites You Need to Learn Math Step by Step

This site is dedicated to upper-level college mathematics (including calculus, precalculus and differential equations), science and engineering.

We search the internet for comprehensive, in-depth material on upper-level mathematics, science and engineering.   Then, we integrate the best videos, material and links into our discussion to help you learn, understand and use what you are currently studying.   Our pages are not meant to replace your book or class materials but to supplement and enhance them or to refresh your skills.

Here is a new video that we think will help you.

Thomas Frank - Online Classes: A Survival Guide

video by Thomas Frank

Also check out our Learning and Study Techniques page.

Who is this site for?

- students in traditional classrooms
- online students
- home-schooled students
- students refreshing their calculus skills
- anyone who wants to really understand calculus

Here is what you will find on more than 430 pages.

more than 3450 videos

more than 4100 practice and exam problems all with complete, worked out, step-by-step solutions

FREE personal account with the ability to save practice and page bookmarks as well as the ability to rate practice problems.

study suggestions and book reviews

ways to save on books, bags, supplies and tutoring

How much will this cost you?

Zero, nothing, nic . . . Everything on this site is free.
We are dedicated to helping you learn, understand and use calculus, precalculus and differential equations (and perhaps other science, engineering and mathematics topics in the future).
But wait, what's the catch?
There is no catch. I am a former calculus instructor who thinks students pay enough already. I don't want you to just survive calculus.

I want to help you learn calculus so that you understand it and are able use it.

We love to hear from our students who get a lot out of this site. Let us know how 17calculus helped you through calculus. Head over to the contact page and give us your feedback.

This section contains lists of recommended books. Most book links are affiliate links. Click the topic above to open the books list for a particular topic.

Free Textbooks - - - Recently, some free calculus textbooks have shown up online. Now, these are not the usual watered down versions. These are full textbooks that instructors are using in classrooms at reputable colleges and universities.

The best free book we've seen so far is Active Calculus by Matt Boelkins. It is over 500 pages of good material and there is a free workbook available as well. A second book we recommend is simply entitled Calculus I, II, III by Jerrold E. Marsden and Alan Weinstein. This book is actually three books and there are student guides as well. For a list of other free textbooks, check out the American Institute of Math - Approved Textbooks.

Purchased Textbooks - - - As far as purchased textbooks go, the best we've found is Larson Calculus. If you have a choice, go with Larson. If you are looking for a textbook for reference, go with an early edition of Larson. The third and fourth editions are both good.

There are a couple of things you need to know when navigating through the list of Larson Calculus textbooks.
1. There are two main types of books, Early Transcendental Functions (ETF) and non-ETF. The difference is in the structure of the material. The ETF version has the calculus of exponentials, logarithms and trig mixed in with calculus of polynomials. The non-EFT version has all the calculus of those functions separated out in later chapters. We recommend the ETF version since the flow of the material is better in our opinion and easier to learn from. However, you need to go with whatever your instructor suggests.
2. There is also the option of purchasing a copy that says just Single Variable Calculus. This is basically the first half of the full book (which contains both single and multi-variable calculus). We recommend the full version, since you never know when you might need an extra chapter or two. But, again, go with what your instructor recommends.

Here are some links to Larson textbooks, several editions. Here are the ETF editions.

Larson ETF 3th Edition
Larson ETF 4th Edition
Larson ETF 6th Edition

Here are the corresponding non-ETF editions.

Larson non-ETF 7th Edition
Larson non-ETF 8th Edition
Larson non-ETF 11th Edition

Reference Books - - - For a reference book to help you learn calculus or give you extra practice, we recommend these books. The absolute best books to supplement your calculus knowledge are How To Ace Calculus and How To Ace The Rest Of Calculus. For suggestions on how to select and use supplementary books, read the discussion on the How To Save On and Use College Books page.

Books for differential equations need to be more indepth and comprehensive than for calculus or precalculus, since differential equations might be considered advanced math and is usually required for students who are actually going to use it and therefore really need to know it.

There are many books out there but these suggestions should get you started for ordinary and partial differential equations. For suggestions on how to select and use supplementary books, read the discussion on the How To Save On and Use College Books page.

Elementary Differential Equations by Boyce and DiPrima has been the standard textbook at many universities for years. New versions are still being produced but it can often be difficult to read because it can be quite terse. So you need to take a lot of notes and fill in a lot of blanks. That said, it is still a good book and will give you a good grounding in first semester differential equations, if you are willing to put in the work.
These links are to more current editions of the textbook. If you don't require a specific edition, an earlier edition will work nicely.
If you are required to have it for a class, we recommend you get a supplementary text as well.

Ordinary Differential Equations (Dover Books on Mathematics) is a great supplementary text for beginning differential equations. It has great reviews on Amazon. We recommend most Dover books because they are well written and have great content, while at the same time discussing topics with depth and insight. This book will not disappoint the serious student.

We recently discovered this book and, from what we have seen, it is a good book. We looked primarily at the chapter on series solution. This book goes into more detail about the radius of convergence of power series about singular points than we have seen in most books.

These next two books discuss partial differential equations, usually taken the semester after ordinary differential equations. Dover books are some of the best supplementary math books out there, including these.

On the How To Study Math Proofs page, we give concrete techniques on how to read and understand math proofs, as well as some links for additional help. Here are some book suggestions if you are interested in learning more.

This next book, Rudin's Principles of Mathematical Analysis is the classical text used at many universities. It is concise and I suspect used to weed out the students that are not committed to learning advanced math. You will really need to use the study suggestions on the page on How To Read and Learn From Math Books. You will also need one of the above supplementary texts or a supplementary text that you have found. Additionally, it will help you to read the Learning Techniques page.

Precalculus and college algebra books are quite plentiful but not all of them are helpful. Here are the ones that we think will help you the most.

Here are some good books on how to learn many things, not just math. As you can see, there are a lot of books on this topic. The best place to start is to read the first book, Deep Work.

Deep Work: Rules for Focused Success in a Distracted World [review]
Indistractable - Control Your Attention and Choose Your Life [review]
On Course: Strategies for Creating Success in College and in Life
Moonwalking with Einstein: The Art and Science of Remembering Everything
The Practicing Mind: Developing Focus and Discipline in Your Life - Master Any Skill or Challenge by Learning to Love the Process
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Becoming a Master Student
How to Become a Straight-A Student: The Unconventional Strategies Real College Students Use to Score High While Studying Less
Study Smarter, Not Harder
What Smart Students Know: Maximum Grades. Optimum Learning. Minimum Time.
Concentration: Strategies for Attaining Focus
How to Develop a Brilliant Memory Week by Week: 50 Proven Ways to Enhance Your Memory Skills
Learn to Remember : Practical Techniques and Exercises to Improve Your Memory
College Study Skills: Becoming a Strategic Learner
How to Think Like a Mathematician: A Companion to Undergraduate Mathematics
You Can Have an Amazing Memory: Learn Life-Changing Techniques and Tips from the Memory Maestro
How to Read a Book: The Classic Guide to Intelligent Reading

For recommendations on what to look for before buying a calculator, check out the supplies page on 17Calculus.

The Art of Electronics
Schaum's Outline of Electric Circuits
Control Systems Engineering

Two Excellent, Highly Recommended Books

This book could catapult your learning, if you apply the techniques and insights carefully and radically.
Deep work is necessary as a student to succeed but few students do it. This leaves a huge chasm of possibility for you to stand out and achieve the seemingly extraordinary feat of acing calculus. This book not only explains deep work but also how to implement it in your life.
Why You Need To Work Deeply (from chapter 1)
- Deep Work Helps You Quickly Learn Hard Things
- Deep Work Helps You Produce at an Elite Level
Order this book now [ Deep Work: Rules for Focused Success in a Distracted World ] and read it during your next semester break. It will be time well spent.

Indistractable - Control Your Attention and Choose Your Life - We recently discovered this book and found that it contains very practice advice on how to focus. Combined with Deep Work, you get techniques on how to control your focus and perform deep work.

You CAN Ace Calculus

Academic Integrity

17calculus is intended to help you learn calculus so that you can work problems on your own, do well in your course on your own and, later on, use calculus in your discipline on your own. Please do not use this site to cheat or to avoid doing your own work. What you do in private eventually comes to light and shapes the kind of person you are in public.

Choose now to be a person of integrity and discipline.

Get Started

Here are several ways to get started.

1. Select a topic from the menu or from the alphabetical listing.

2. Search for a specific topic using the search option on the menu.

3. Start learning calculus: first topic is limits.

4. Check out the tools menu for more options including study suggestions and motivation to learn calculus.

5. Go to the About page for a short explanation on how to get the most out of this site.

To bookmark this page, log in to your account or set up a free account.

Search Practice Problems

Do you have a practice problem number but do not know on which page it is found? If so, enter the number below and click 'page' to go to the page on which it is found or click 'practice' to be taken to the practice problem.

free ideas to save on bags & supplies

The 17Calculus and 17Precalculus iOS and Android apps are no longer available for download. If you are still using a previously downloaded app, your app will be available until the end of 2020, after which the information may no longer be available. However, do not despair. All the information (and more) is now available on 17calculus.com for free.

How to Become a Straight-A Student: The Unconventional Strategies Real College Students Use to Score High While Studying Less

Save Up To 50% Off SwissGear Backpacks Plus Free Shipping Over $49 at eBags.com!

Shop Amazon - Sell Us Your Books - Get up to 80% Back

As an Amazon Associate I earn from qualifying purchases.

Our Philosophy

This site contains lots of information without flashy ads and graphs that distract your attention. You will find this site either boring or refreshing. While you are here, you can focus your attention and really learn what we are teaching you. For more information see our About page.

"Of the ten websites it is likely that most students will find Khan Academy and 17Calculus to be the best overall sites for working through all the calculus topics step by step."
Top-Site-List.com - Top Ten Calculus Sites

Who We Are

I have a passion to see students really understand math, science and engineering. I know how wonderful it feels when it happens.
I also want to ignite a passion for learning that never goes out.

Before you learn from this site, you need to know who is teaching you, their background, experience and motivation. Read about me on the About page.

The Coursera online course Learning How to Learn: Powerful mental tools to help you master tough subjects is a free, on-demand course that starts right way. We have personally been through this course and highly recommend it. You can find more information about the free course in section 1 of the 17calculus learning and study techniques page.

Are you willing to do whatever it takes to learn better? If so, watch this video by the author of Deep Work: Rules for Focused Success in a Distracted World. Keep your mind open and be honest with yourself.

Watch this video only if you want to become a better learner. [13min-50secs]

Are you struggling with calculus and do you feel like giving up? Are you wondering if maybe you are just not cut out for it? Check out this Motivation Page to get some perspective and encouragement.

Watch this Nick Vujicic music video

See videos about Nick's journey on the motivation page.

Whoever is responsible for this website is absolutely brilliant. I don’t even have words to tell you how fantastic your website is and how much it has helped me. The person(s) who did this website is a perfectionist, because it is extremely thoughtful and, well, perfect. It challenges you so that you truly understand the material, it is thorough, and it leaves no questions unanswered.
Can I donate a little something? Sure, I am a poor student right now, but I feel a DUTY to give something for the immense gratitude I have for people who can put together an educational tool like this and so generously offer it for nothing. I am a much older student trying to get a master’s in statistics, so I can appreciate this website much more than the younger folks who take a lot of this type of online material for granted. I should not even compare it to other online math help sites. It truly is in a class of its own, and you should be very proud of this site.
Thank you, thank you, thank you!!!!

Just a quick thank you. I did indeed ace calc2 last semester, thanks in no small part to your website. I took the class online, and it was very much a "you’re on your own, good luck" type of affair. Your website was absolutely invaluable to me, and I recommend it to everyone I encounter who is struggling with calculus. Thanks again!

Do NOT follow this link or you will be banned from the site!

When using the material on this site, check with your instructor to see what they require. Their requirements come first, so make sure your notation and work follow their specifications.

DISCLAIMER - 17Calculus owners and contributors are not responsible for how the material, videos, practice problems, exams, links or anything on this site are used or how they affect the grades or projects of any individual or organization. We have worked, to the best of our ability, to ensure accurate and correct information on each page and solutions to practice problems and exams. However, we do not guarantee 100% accuracy. It is each individual's responsibility to verify correctness and to determine what different instructors and organizations expect. How each person chooses to use the material on this site is up to that person as well as the responsibility for how it impacts grades, projects and understanding of calculus, math or any other subject. In short, use this site wisely by questioning and verifying everything. If you see something that is incorrect, contact us right away so that we can correct it.

Links and banners on this page are affiliate links. We carefully choose only the affiliates that we think will help you learn. Clicking on them and making purchases help you support 17Calculus at no extra charge to you. However, only you can decide what will actually help you learn. So think carefully about what you need and purchase only what you think will help you.

We use cookies on this site to enhance your learning experience.


Copyright © 2010-2020 17Calculus, All Rights Reserved     [Privacy Policy]     [Support]     [About]

Real Time Web Analytics
We use cookies to ensure that we give you the best experience on our website. By using this site, you agree to our Website Privacy Policy.