Calc. II and III in the summer

Nah, you don't need that many techniques. You'll probably learn the ones you need by the time you actually use them in Calculus III.

 

I agree with Jason, you don't start doing integration in 3 dimensions until the end of the course.

 

No, do one at a time. If you are going into science you better know calc III very well. Walking into it without calc II just sounds awful.

 

i'm actually surprised they are letting you register for both

 

Yeah, you do need to know Calculus III, but you don't need that much of Calculus III to do it.

Not everything has to be done linearly. Aside from basic integration techniques, what can you possibly need in Calculus III? You have line integrals, and so on, but that's all taught in Calculus III.

 

How to integrate, the chain rule, optimization, areas, integration by parts, direction fields.

You are taking a lot for granted because you already know it. If you are learning it for the first time they are not "basic intergration techinques", they are going to be his foundation.

I strongly recomend he does not take them at the same time.

 

Calc II and Calc III at the same time? Sounds like a bad idea. I would advise against it and just take calc II and then calc III.