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Academic Guidance Academic Guidance - Academic guidance for those pursuing a college degree... what college? Grad school? PhD help?

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  • 2 Post By Maschke
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May 2nd, 2017, 06:45 AM   #1
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Advanced Calculus

Hello all,

I am going to be taking Advanced Calculus soon where the whole class revolves around proofs and presenting them to students. I have never taken a class like this before, and honestly have very little experience with proofs. What is the best thing I can do to prepare for a class like this? Just go through my calculus textbook and practice the proofs? Or start even earlier and do algebraic proofs? Or something completely different?

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June 26th, 2017, 05:24 PM   #2
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Do you know how to prove that a square number cannot be 2 more than a multiple of 3? It doesn't require calculus, and a student taking Advanced Calculus should be able to prove that. Do you know trigonometric proofs? Do you know the basic calculus proof that given a fixed perimeter, the largest rectangular area is a square?
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June 26th, 2017, 06:07 PM   #3
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I keep hearing about an excellent book called How to Prove it by Velleman. Here's the Amazon link.
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June 26th, 2017, 08:02 PM   #4
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Originally Posted by Maschke View Post
I keep hearing about an excellent book called How to Prove it by Velleman. Here's the Amazon link.
Exactly... it would be much more important for him to know the basics of proof-writing, like direct proofs, proof by contradiction, proof by contrapositive, MI, how to prove a set is a subset of another, etc., than to go through algebra or trigonometry!
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