May 2nd, 2017, 06:45 AM #1 Senior Member     Joined: Nov 2015 From: United States of America Posts: 198 Thanks: 25 Math Focus: Calculus and Physics 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? Thanks big time. Jacob
 June 26th, 2017, 05:24 PM #2 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 639 Thanks: 85 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?
 June 26th, 2017, 06:07 PM #3 Senior Member   Joined: Aug 2012 Posts: 2,306 Thanks: 706 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 Thanks from 123qwerty and topsquark
June 26th, 2017, 08:02 PM   #4
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Quote:
 Originally Posted by Maschke 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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