Best book to review Calc 1

[TamarMD]

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Hey I'm thinking of taking Calc II. Thing is I probably won't be able to take it until next fall...if I'm lucky. I took Calc I fall of 2006. I think I did fairly well in Calc I (got a B+) but the only thing I remember right now is derivatives and product and quotient rule when it comes to derivatives. What should I review that would be helpful for Calc II? Should I go to tutoring for review in calculus? Should I go to the library and look over the past chapters that I learned in calc I? Any help would be greatly appreciated. Thanks in advance

 

[nkhan]

Just read ahead what you are going to be covering in cal II and work some problems. Disk/Washer method is a good place to start usually. You will pick up on the things you need to know. Generally Calc I is basic differentiation/integration.

 

[TamarMD]

thanks nkhan. This may sound kind of noobish but integration is like derivatives backwards...right?

 

[phonyreal98]

Yes. Sort of.

Taking a derivative measures the change of a function at one exact point, while taking integrals is measuring the change of a function cumulatively.

 

[^=^]

thanks nkhan. This may sound kind of noobish but integration is like derivatives backwards...right?

They are inverses of each other.

 

[EpiPEN]

thanks nkhan. This may sound kind of noobish but integration is like derivatives backwards...right?

No not exactly.

If you integrate you are creating a constant which you have to find out (in most cases).

In other words:

derivative of x^2 is 2x
but the anti-derivative of 2x isn't necessarly x^2


Unless you are integrating with boundary points to measure cumulative information (i.e. area under curve)


you are going to have to brush up on stuff if you are still confused about integration/derivation...

 

[TamarMD]

Oh ok thanks EpiPen. I'll read over the chapters that I did in Calc I and talk to a tutor about review. Thanks for clarifying it guys.

 

[135892]

Hey I'm thinking of taking Calc II. Thing is I probably won't be able to take it until next fall...if I'm lucky. I took Calc I fall of 2006. I think I did fairly well in Calc I (got a B+) but the only thing I remember right now is derivatives and product and quotient rule when it comes to derivatives. What should I review that would be helpful for Calc II? Should I go to tutoring for review in calculus? Should I go to the library and look over the past chapters that I learned in calc I? Any help would be greatly appreciated. Thanks in advance

It wouldn't hurt to review some Calc 1 material, but you should be fine even if you don't remember too much from calc 1. Your school may be different, but at my school, calc 2 mainly consisted of intergrals and sequences/series. So differentiation wasn't really emphasized, but of course you still had to know the basics of finding derivatives and limits and stuff like that. So, depending on how much you do actually remember, I wouldn't spend too much time reviewing calc 1 material.