You CAN Ace Calculus 

1. Download the free app from the Apple App Store on your iPhone and iPad or on your Android device from the Google Play Store. 
2. Refresh your precalculus knowledge, if needed, using the 17Precalculus app. 
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. As you continue on in your calculus course, pay for only the sections you need. The small fee for each section allows us to continue to offer and improve 17Calculus. 
"17Calculus might appear intimidating, but it’s an exhaustive, complete guide to collegelevel 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
"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."
TopSiteList.com  Top Ten Calculus Sites
17Calculus is a smartphone app available now for iOS and Android . The app is dedicated to college calculus, science and engineering.
Is This App For You? 

This app is NOT for you if ... 

... you are looking for a flashy app with pretty colors, emojis, fuzzy animals, toys, games or ads 
... you are looking for an addictive app that catches your attention and that you find hard to put down 
... you are looking for an app that makes calculus easy and makes you feel good but doesn’t help you REALLY UNDERSTAND calculus and leaves you empty and confused 
BUT, THIS IS APP IS FOR YOU, IF ... 

... you are looking for a nofrills app that gets to the point and actually explains calculus so that you can understand it 
... you want an app that has substance where you come away feeling satisfied that you have accomplished something 
... you are a serious student who wants to REALLY UNDERSTAND calculus so that you can do it yourself 
InApp Purchases Topics 

In order to continue to provide and improve the 17Calculus material to everyone, we are asking for a small purchase for these modules in the app. Before purchasing, you may want to know if the modules contain the information you need. Here are lists of what each topic covers.
The derivatives section is the least expensive since derivatives is the easiest topic and you will probably need the least amount of help. However, there are sections that are difficult to understand without some help and lots of diverse practice problems. Here are the topics included in the derivatives module.
Topic Description  Practice Problems^{1,2} 

basic conceptual understanding of the derivative 

notation 

limit definition of the derivative  13 
constant and constant multiple rules  
addition and subtraction rules  
power rule  17 
product rule  18 
quotient rule  17 
chain rule  29 
trig and inverse trig derivatives  25 
implicit differentiation  42 
exponentials  10 
logarithms  17 
logarithmic differentiation  21 
inverse functions  6 
hyperbolic and inverse hyperbolic functions  26 
higher order derivatives 

Graphing  
slope, tangent and normal lines and linearization  22 
graphing  5 
increasing and decreasing intervals and critical points  9 
first derivative test  7 
concavity and inflection points  5 
second derivative test  3 
Applications  
related rates (4 pages)  44 
linear motion  8 
mean value theorem  10 
optimization  29 
differentials 

newton's method^{3} 

Totals (as of 2019.October)  
more than 35 pages  more than 350 practice problems 
Notes
1. The number of practice problems will change frequently as we continue to add more. This is a (very close) approximation to the actual number you will find in each section.
2. Some of the pages do not show the number of practice problems. Some of the practice problems appear on other pages or the practice problems have combined techniques. For example, most practice problems use the constant and constant multiple rules and they are such simple rules that we do not have practice problems that involve only these rules. There are examples in those sections but you learn to use these rules within the context of other more involved rules. We believe this is the best way to learn these simple rules.
3. We do not cover these topics indepth but we may provide you some videos and how to get started.
The integrals module is quite extensive and covers indepth some of the more difficult topics like integration by parts and partial fractions.
Topic Description  Practice Problems^{1,2} 

notation and basic formulas  14 
sigma notation  8 
definite integrals 

both fundamental theorems  5 
integration by substitution  31 
definite integration substitution  3 
integration by parts  26 
partial fractions  24 
improper integrals  41 
Trig Integrals  
trig integration  22 
sine/cosine integration  27 
sine/cosine reduction  7 
secant/tangent integration  10 
secant/tangent reduction  5 
trig substitution  27 
Integrals Practice^{3}  
calculus 1 integrals practice  11 
calculus 2 integrals practice  10 
Area and Volume  
area under a curve  9 
area betwen curves  28 
surface area  7 
volume with known crosssection  9 
describing plane regions^{4} and volumes of rotation 

washer/disc method  27 
cylinder/shell method  28 
volume practice  8 
Applications  
linear motion  4 
arc length  17 
work  4 
Hooke's law  8 
work changing weight  12 
work moving fluid  16 
moments, center of mass 

Totals (as of 2019.October)  
more than 35 pages  more than 425 practice problems 
Notes
1. The number of practice problems will change frequently as we continue to add more. This is a (very close) approximation to the actual number you will find in each section.
2. Some of the pages do not show the number of practice problems. Some of the practice problems appear on other pages or the practice problems have combined techniques. For example, there are many practice problems involving definite integrals. However, they are scattered around on various pages involving other rules.
3. These practice pages are to help you prepare for your exams. They contain practice problems in no specific order much like you will see your exam. We do not tell you which technique to use and they are perfect for honing your exam skills.
4. This topic is not usually covered separately in a calculus course. Instructors may expect you to pick this up as you go. However, we believe that a thorough coverage of this topic will help you significantly when learning how to calculate volumes of revolution.
Infinite Series is one of the most difficult topics in single variable calculus. It is strange in that it is one of the first topics you will run across that does not involve direct calculations. Also, there are usually multiple ways to solve a given problem, so it confusing to determine what technique to use. We show you what to look for when solving these problems and we show multiple ways to work them, sidebyside so that you can determine the best technique to use in your work.
Topic Description  Practice Problems^{1,2} 

notation 

sequences  16 
divergence test  7 
pseries  3 
geometric series  18 
alternating series  27 
telescoping series  12 
ratio test  23 
limit comparison test  24 
direct comparison test  22 
integral test  16 
root test  10 
convergence value 

infinite series summary list 

choosing a test 

Applications  
absolute/conditional convergence  2 
power series  41 
taylor/maclaurin series  21 
radius/interval of convergence  25 
remainder and error bounds  8 
fourier series  3 
Tools  
study techniques 

practice problems^{3}  5 
exam preparation 

2 full practice exams^{4}  22 
Totals (as of 2019.October)  
more than 25 pages  more than 300 practice and exam problems 
Notes
1. The number of practice problems will change frequently as we continue to add more. This is a (very close) approximation to the actual number you will find in each section.
2. Some of the pages do not show the number of practice problems. Some of the practice problems appear on other pages or the practice problems have combined techniques.
3. These practice problems show several ways to determine convergence/divergence. They discuss which techniques to choose and why.
4. The practice exams are actual exams given in calculus 2 courses and include complete written out solutions.
The multivariable calculus sections cover the entire third semester of calculus. There are four sections, vector functions, partial derivatives, partial (iterated) integrals and vector fields. Here is a breakdown of the material in each section.
Vector Functions with more than 60 practice problems 

basics of vector functions 
smooth vector functions 
limits of vector functions 
derivatives of vector functions 
integrals of vector functions 
projectile motion 
unit tangent vector 
principal unit normal vector 
acceleration vector 
arc length 
arc length function 
arc length parameter 
curvature 
vector functions exam 

Partial Derivatives with more than 55 practice problems 
partial derivatives 
chain rule 
first derivative test 
second order partial derivatives 
gradient 
directional derivative 
gradient applications 
lagrange multipliers 
partial derivatives exam 

Partial (Iterated) Integrals with more than 100 practice problems 
basics of partial integrals 
double integrals 
double integrals in rectangular coordinates 
double integrals over rectangular regions 
double integrals over nonrectangular regions 
switching order of integration 
calculating area 
calculating volume 
polar coordinates 
triple integrals 
triple integrals in rectangular coordinates 
cylindrical coordinates 
spherical coordinates 
partial integrals exam 

Vector Fields with more than 100 practice problems 
basics of vector fields 
curl 
divergence 
conservative vector fields 
potential functions 
path integrals 
line integrals 
line integrals with unit tangent vector 
line integrals in differential form 
fundamental theorem of line integrals 
Green's Theorem 
surface integrals 
Stokes' Theorem 
Divergence Theorem 
vector fields exam 

Totals (as of 2019.November) 
more than 50 pages with more than 300 practice problems 
Note
The number of practice problems will change frequently as we continue to add more. These are (very close) approximations to the actual number you will find in each section.
This section contains lists of recommended books discussed in the app. 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 nonETF. 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 nonEFT 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 multivariable 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.
Here are the corresponding nonETF editions.
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.
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.
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.
In 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.
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.
We search the internet for comprehensive, indepth material on upperlevel 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 app is not meant to replace your book or class materials but to supplement and enhance them or to refresh your skills. 

Once complete, here is what you will find on more than 300 pages. (We are still in the process of integrating some of the sections into the app.) 
more than 3000 videos 
more than 2500 practice and exam problems all with complete, worked out, stepbystep solutions 
study suggestions 
ways to save on books, bags, supplies and tutoring 
Excellent, highly recommended book. 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.
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