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I'm a lazy type of person. I love experimenting with things before learning the theory. I like to practice, and learn from my mistakes.

In 3-4 months I have a basic University exam on Calculus, and I'd like to learn it in a fun way. I have found these videos to be quite entertaining:


However they are not exhaustive enough for my needs.

Any references you would like to share? I'm not sure if it's a valid type of question for this group, so I'm sorry in advanced if it's off-topic.

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I presume you've been to the Khan Academy and found it wanting? –  Guess who it is. Dec 13 '10 at 14:35
I do have to say that any method of learning calculus is bound to founder on the shoals of laziness. –  Arturo Magidin Dec 13 '10 at 16:15
For the record, Khan Academy does an absolutely terrible job at teaching limits (the only videos I watched were limits and one on art history that was equally as bad). –  JeremyKun Dec 4 '11 at 16:11
In my opinion: No, you can't. Obviously, here I'm not questioning your intelligence or your determination, it wouldn't make sense. The question is that I see a great obstacle to learning something from the net, i.e. there are too many sources and il troppo stroppia (this is an Italian motto, which more or less can be translated as "too much breaks the bag"). In other words, I think the net is dispersive/distracting by its own nature, hence a student cannot properly focus on a subject while surfing the net. –  Pacciu Dec 15 '11 at 3:20
Why don't you buy a textbook, instead? I bet there are some good references at the end of the syllabus of the course you're attending. And BTW if you're studying in an Italian university, then you're supposed to have an Analysis exam, not a Calculus one, and it is quite different... –  Pacciu Dec 15 '11 at 3:22

7 Answers 7

up vote 20 down vote accepted

The MIT courseware is one of the first places to look for such materials. Here is a video series on a first course in Calculus.


Here is a video series on multivariable calculus


Edit: I found a few more such video series. I haven't personally looked at these though. http://press.princeton.edu/video/banner/



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I upvoted because I didn't know until now that MIT had videos. Thanks Tim! –  Guess who it is. Dec 13 '10 at 15:06
+1,thanks Timothy, neither do I knew that they had hosted videos too:) –  VelvetThunder Dec 13 '10 at 15:18
@J.M. @Debanjan: Thanks. The video lectures are limited unfortunately to a few beginning undergraduate courses. I would have loved to see some graduate level courses here. Although the sfsu site has a few. –  Timothy Wagner Dec 13 '10 at 15:27

I don't have a full calculus 1 course, but I have a lot on youtube at Professor Elvis Zap . You can learn to rap the laws of differentiation from the calculus rap.

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you can learn calculus from video tuts.

here is the link

calculus video lectures

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So I hear you want to learn mathematics in a fun way. Well I would suggest looking at these video's series below. The tutor has an interesting and uplifting personality when it comes to teaching that you can tell, and can keep you awake while learning (at least when doing examples). I found it to be helpful for some brushing up on certain topics.

Here are some free videos online:

*1) http://www.youtube.com/user/patrickJMT?blend=1&ob=5

2) http://www.youtube.com/user/mathtutordvd

These websites should be a great start, as they cover calculus and a wide range of other different topics.

Okay, I hope this helps you out.

Good Luck with your studies.

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You can try adaptive learning. One option is Toktol (I work on the project) - there is a full calculus section. Questions are automatically adjusted to your ability level and questions you did not know before will be repeated - so it tries hard to minimise the effort.

There are some other tools, like Pearson's MyMathLab - though that is not free.

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That sounds a lot like me, you might try the Calculus Revisited Series by Prof Herbert Gross.

It is simpler to follow than other courses I've seen, the lecturer doesn't waste your time with boring computations, and keeps focus on the main topic of each lecture.

It doesn't loose rigor in a mathematical sense, and you can always refer to the provided lecture notes if you want to dig deeper than what was exposed in the videos.

By just watching the video lectures you will learn a lot.

Part 1: Single Variable Calculus

Part 2: Multivariable Calculus

Part 3: Complex Variables, Differential Equations, and Linear Algebra

I don't have enough rep to post the third link

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There are several classic books that provide preparation in calculus. James Stewart's Calculus (8th edition)  is one of the most widely used text books, covering the usual differential, integral, and multivariate calculus. Ron Larsons' Calculus is a popular alternative to Stewart, and covers similar material. I personally used Serge Lang's A First Course in Calculus

The American Institute of Math (AIM) has an open text book initiative for free online books. Several online calculus books are linked.

MIT’s Open Courseware Single Variable Calculus and Multivariate Calculus are free online courses with video recorded lectures and accompanying notes.

The Khan Academy provides free online courses for the calculus sequence: differential calculus, integral calculus, and multivariate calculus.

AP Central has resources for AP courses and exams in calculus.

Exams with solutions, has links to calculus exams throughout American universities.

The website calculus.org offers extensive links to study and exam problems, online course notes, videos, and calculators. However, the page has not been kept current, though, and some links are broken.

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I suspect the reason for the downvotes is that you wrote about general resources rather than focusing on the user's question, which was what free calculus tutorials are available on the web? –  N. F. Taussig May 27 at 12:18

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