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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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Jacob
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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. https://www.amazon.com/How-Prove-Str.../dp/0521675995
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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. https://www.amazon.com/How-Prove-Str.../dp/0521675995
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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