Question

Can you plzzz suggest some "reallyy gudd" video links for the following topics of multivariable calculus :Definition and examples of open spheres, neighborhood, open sets,closed sets , compact sets , connected subsets of R and R^2, Definition and examples of repeated and simultaneous limits and continuity for real valued funct on R^2, Definition and illustration of partial derivatives, directional derivatives,gradients,differenciability of real valued funct on R^2 , Statement of Taylor's theorm for funct. of 2 varbls, Maxima and minima of funct. of 2 varbls

Answer 1

www.khanacademy.com

Answer 2

Open Course Ware from MIT

Answer 3

http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/

Answer 4

is it helpful ? actually I dont have much time , so want to study only these restricted topics and no extras. And yea I coudnt find anything on khanacademy , if you know plz post the link.

Answer 5

Not so much a video link, but http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx is excellent and has many examples.

Answer 6

^ that was about to be my other suggestion

Answer 7

but it doesn't talk about the connectivity of sets in much detail on the link brainshot posted, so if you want a full understanding of those topics Paul's online notes may not be sufficient.

Answer 8

and what about other topics ?

Answer 9

@nona18 : And yea I coudnt find anything on khanacademy , if you know plz post the link.

Answer 10

you ca try purplemath.com
or otherwise you can go through mit.edu

Answer 11

I don't think purple math has many of those topics she is requesting
the best bet is probably MIT OCW, as I suggested earlier

Answer 12

and sorry, but there are no shortcuts here. this will take time to learn

Answer 13

MIT OCW is the best resource available online! Also, this topics are interelated so skipping one and trying to understand the other could be tad counter-intuitive.

Answer 14

See the links you all people have mentioned , they might be really gud , but the point here is that are they into the topics I have mentioned and also are they precise ? Because I have my papers and dont have time for any extras , so please guide me !

Answer 15

mit is best for any queurey.

Answer 16

I promise you that if you do all of the OCW scholar for multivariable calc you will know all you need to

Answer 17

do ALL of this:
http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/

Answer 18

Actually, there is no short cut in any form for mathematics, once a very dear friend told me only those who have studied mathematics systematically since grade school finds maths easy. If there is a hiatus in that it can only allude to lots of trouble ;)

Answer 19

See what I like about khanacademy is that they provide info which is to the point and very well explained as well. But unfortunately I coudnt find anything there. Anyways how many lectures are there in MIT ?

Answer 20

a lot

Answer 21

@TuringTest: You know that's at-least 1 semester material ;)

Answer 22

I know, and I still haven't finished it :(

Answer 23

but I agreed with you FFM: no shortcuts
math is cumulative

Answer 24

Not a lot, somewhat between 30 to 40.

Answer 25

you definition of "a lot" and "easy problem" are different than mine FFM ;)

Answer 26

God ! :-( You know Iam from Eco(H) and for game theory I am already following Ben Polak's lectures ( Yale) , so really dont think have time for anything hectic like that ! please help

Answer 27

But the best thing is you will enjoy the ride! I love the way they teach and best feature no extra books is required!

Answer 28

If you don't have the time to learn multivariable calc, then you just don't.
there is no faster way
I know FFM agrees with me

Answer 29

I agree with you FFM , but the prob is not MIT's 30-40 lctrs, prob here is time ! :-(

Answer 30

I know about Indian universities they push everything into syllabus.

Answer 31

Yups ! :-( , dont say that turing test , thats discouraging ! :-(

Answer 32

Yes, I agree with Turing, just don't. You might end up hating a beautiful subject.

Answer 33

sorry, but if you want to "just understand open sets, compactness, etc." that is no small feat
and cutting corners may wind up confusing you in the end, since the ideas are interconnected as FFM said

Answer 34

FFM , thats very imp ! Cant miss that ! any other way , 30-40 lect are just too much for now ! turing test , n wt abt d rest topics ?

Answer 35

you want to learn about:

":Definition and examples of open spheres, neighborhood, open sets,closed sets , compact sets , connected subsets of R and R^2, Definition and examples of repeated and simultaneous limits and continuity for real valued funct on R^2, Definition and illustration of partial derivatives, directional derivatives,gradients,differenciability of real valued funct on R^2 , Statement of Taylor's theorm for funct. of 2 varbls, Maxima and minima of funct. of 2 varbls"

-none of that can be learned quickly, sorry
and it's all interconnected, so learning just a part will probably mess you up

Answer 36

You may like to do one thing (what I did) learn the prerequisites first (this is a very important step) then just follow your syllabus from MIT lectures.

For example, you don't need a particular derivation then just skip it to the next one in your module. But do learn the prerequisites mentioned there. This is the most crucial steps.

But that said, you will still need 3-4 months in my opinion.

Answer 37

^agreed

Answer 38

But still , there would be some other way , some alternative to 30-40 lct ?

Answer 39

If you find a good one, please tell me!

Answer 40

hmm, FFM , that sounds better ! :-)

Answer 41

It will be reduced to much less if you follow select and choose method. Btw Eco(H) in DU, you must be a good student! So just enjoy the ride :)

Answer 42

TT , LOL ! For sure ! :p

Answer 43

FFM , thnks fr dt sarcasm ! :p

Answer 44

what is Eco(H) ?
I know so little... or is it an India thing?

Answer 45

Did you cleared that 100% cut up ? lol if you did, you are just amazing!

Answer 46

Economics ( Honours ) - graduation

Answer 47

100 % cut up , wts dt ?

Answer 48

Ah, congrads!

Answer 49

dt SRCC thing ?

Answer 50

I am not being sarcastic. I know it's a very good university and I was following the media reports (recently) lol

Answer 51

oh ! FFM , lol ! Btw what r u doing ?

Answer 52

Yes.

Answer 53

I am just typing this reply.

Answer 54

and now I am typing this one lol

Answer 55

and now you're being a wise-guy

Answer 56

very funny ! :p academically , what are u doin ?

Answer 57

Okie people , anyways I gtg ! Thanks for all of yours help , and please see if you find some other stuff as well. Gud Nyt ! Cya !

Answer 58

* have to watch ben polak's lect ! :p

Answer 59

I consider myself as an undergraduate student of applied mathematics, some people may call it Engg. :)

Answer 60

Take care and good luck! :)

Answer 61

cool FFM ! u must be really gud at maths then , so if l l have any prob in these topics , I l catch you for that then ! :p cya n thnks !

Answer 62

It was , but I was looking for other alternative answers as well.

Answer 63

Cool:) You should check this
http://nptel.iitm.ac.in/video.php?subjectId=122104017

Answer 64

works for these topics ?

Answer 65

kind of:P

Answer 66

okie ! will surely check ! thnks :-)