Good afternoon everybody! I recently started taking calculus 2 at university and the class picks up like we never missed a day between calc 1 and calc 2. We jumped right in and I'm rather rusty. I use khan academy often but was hoping somebody could help me review/teach me with differentiation and trig integrals. 

Last edited by Lahzo; 08292012 at 07:15 PM.
Whatever you vividly imagine, ardently desire, sincerely believe, and enthusiastically act upon.. must inevitably come to pass.  Paul J. Meyer
Whatever you vividly imagine, ardently desire, sincerely believe, and enthusiastically act upon.. must inevitably come to pass.  Paul J. Meyer
No problem. In my experience MIT are great at realising that the best way to teach something is reduce it to very simple and intuitive components which any sane person could understand; nothing is very tricky. And the lectures are terse; the guy doesn't say anything which you shouldn't know. If you're used to university workloads, the learning to work ratio here is a bargain. 

Sure thing! I'm pretty confident with my ability to differentiate but the integrals are still a bit foreign to me. Perhaps I'm over thinking these things. 

Last edited by Lahzo; 08292012 at 07:02 PM.
Whatever you vividly imagine, ardently desire, sincerely believe, and enthusiastically act upon.. must inevitably come to pass.  Paul J. Meyer
Type it into Wolfram, it shows derivations. But there's a slipup here, where you say: 

"discuss something related" isn't really useful. 

Previously PhilosopherStoned
As long as you're working with nice functions, I think it's almost always okay to just use intuition. Perhaps understanding what a limit actually means is good to know, but at his level I wouldn't go much further and start niggling around with epsilons and deltas to prove the chain rule and stuff. I mean, Newton did fine without them. 

I have yet to work on epsilondelta proofs but I know they've been brought up or mentioned in my Calculus I class. At my university, they don't expect you to do proofs for almost anything until Calculus III or higher. Personally, without much proof or thoughts, it always just made sense that differentiation gives you the rate of change, and integration gives you the equation from the rate of change. 

Whatever you vividly imagine, ardently desire, sincerely believe, and enthusiastically act upon.. must inevitably come to pass.  Paul J. Meyer
The thing about proof is it's subjective how far you need to go. You definitely do need to prove the stuff you look at; you don't need to remember the exact details of a proof, but you do need to have some decent intuitive grounding for where something comes from. Epsilondelta is a 'high level' kind of proof where you break stuff down a long way. At your level it's not that beneficial to go that far, you can probably stop when you get some kind of obvious limit. 

I don't advocate that epsilondelta proofs be used for actual limits but proving things like Lim(f + g) = Lim F + Lim G, and hence that D(f + g) = Df + Dg is pretty essential to knowing what you're doing in my opinion. 

Previously PhilosopherStoned
KhanAcademy is awesome, and so is PatrickJMT. I have been meaning to start a thread on those two guys' videos. I highly recommend them. Whenever I want to learn about a mathematical concept that is new to me or that I am rusty on, I usually watch a video by one and then a video by the other. That usually makes me get it. 

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