10
$\begingroup$

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:

http://www.calculus-help.com/tutorials

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.

  • 0
    Learning on web is not a bad idea (as many have suggested), however there is a catch. It requires some maturity on part of the learner. It is better to study some elementary stuff from textbooks and then go for advanced stuff on web. Frankly speaking no textbook covers the advanced material nicely. For that you need to search many online resources and if you are lucky you can combine them to form a coherent picture. I treat basic calculus as the elementary stuff and it is best studied via textbooks (a very good text is "A Course of Pure Mathematics" by G. H. Hardy).2015-08-19

8 Answers 8

21

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.

http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/

Here is a video series on multivariable calculus

http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/video-lectures/

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

http://www.online.math.uh.edu/HoustonACT/videocalculus/index.html

http://www.tutor-homework.com/Math_Help/Calculus.html

  • 0
    I'm sorry to bring this up, but I watched the whole series on multivariable calc and found the lectures really lacking.2015-09-14
3

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.

1

you can learn calculus from video tuts.

here is the link

calculus video lectures

0

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.

0

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.

0

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

0

The much-upvoted MIT materials are really good. I have actually looked at some of them instead of just reading about them. But I'm betting that a "lazy type person" will not learn calculus this way, especially if you fall into a habit of watching rather than doing.

An alternative approach might be to google 'Calculus Caltech' and look at their course, not (necessarily) to take it but for the free materials available. Specifically, I call attention to the free availability of digital version of the three-part calculus text by Marsden and Weinstein (Springer). You would need to work a lot of problems to make any useful progress toward your objective of getting ready for an exam. The bonus here is that the digital version of the Student Guide is also available for free. So you can check methods and answers to some hard problems that give you trouble. As one might expect from a book used at Caltech, the theory is well presented, but the examples and problems also include practical applications that may provide some motivation to keep going when the going gets rough--and it will if you are taking this seriously.

I have to say that I am not primarily a calculus teacher, but most of the courses I have taught require calculus as a prerequisite, and I have looked seriously at several calculus books recently, including this one. To be clear Marsden and Weinstein is not the only excellent calculus book around. But it is the only one I know of this quality, breadth, and depth that is (legally) available free along with a free student guide. Take a look; if you hate it you will know soon enough not to have wasted much time (or any euros).

Finally I have to say, with all due respect for the noble aspirations involved, that I am not a fan of Khan academy for calculus. It may be OK for an intro to some individual topics, but for the kind of self study you have in mind, you need a quality printed text that has been reviewed, improved and vetted for errors over several editions.

0

I learned calculus online at mathisfun.com.

http://www.mathsisfun.com/calculus/