\( \newcommand{\abs}[1]{\left| \, {#1} \, \right| } \) \( \newcommand{\cm}{\mathrm{cm} } \) \( \newcommand{\sec}{ \, \mathrm{sec} \, } \) \( \newcommand{\units}[1]{\,\text{#1}} \) \( \newcommand{\vhat}[1]{\,\hat{#1}} \) \( \newcommand{\vhati}{\,\hat{i}} \) \( \newcommand{\vhatj}{\,\hat{j}} \) \( \newcommand{\vhatk}{\,\hat{k}} \) \( \newcommand{\vect}[1]{\boldsymbol{\vec{#1}}} \) \( \newcommand{\norm}[1]{\|{#1}\|} \) \( \newcommand{\arccot}{ \, \mathrm{arccot} \, } \) \( \newcommand{\arcsec}{ \, \mathrm{arcsec} \, } \) \( \newcommand{\arccsc}{ \, \mathrm{arccsc} \, } \) \( \newcommand{\sech}{ \, \mathrm{sech} \, } \) \( \newcommand{\csch}{ \, \mathrm{csch} \, } \) \( \newcommand{\arcsinh}{ \, \mathrm{arcsinh} \, } \) \( \newcommand{\arccosh}{ \, \mathrm{arccosh} \, } \) \( \newcommand{\arctanh}{ \, \mathrm{arctanh} \, } \) \( \newcommand{\arccoth}{ \, \mathrm{arccoth} \, } \) \( \newcommand{\arcsech}{ \, \mathrm{arcsech} \, } \) \( \newcommand{\arccsch}{ \, \mathrm{arccsch} \, } \)

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

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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."
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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 recent 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
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- students refreshing their calculus skills
- anyone who wants to really understand calculus

Here is what you will find on more than 535 pages.

more than 3675 videos

more than 4450 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

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How much will this cost you?

Zero, nothing, nic, אפס . . . 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.

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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

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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.

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

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Three 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 and read it during your next semester break. It will be time well spent.

The Practicing Mind: Developing Focus and Discipline in Your Life - Master Any Skill or Challenge by Learning to Love the Process - This book gives realistic and practical advice on how to be satisfied with the process of practice, not as a step to being perfect, but as a goal itself. We don't have enough space or time to explain how good this book is. Get a paper copy now and read it on the bus, between classes, whenever you have a few minutes. Use a pencil to mark what speaks to you, apply the techniques and watch your learning take off.

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.

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!

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