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Why do we do proofs?

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Material Type: Presentation
Technical Format: Podcast
Date Added to MERLOT: September 17, 2010
Date Modified in MERLOT: September 17, 2010
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Author: Dr Joel Feinstein  The University of Nottingham
Submitter : steven stapleton

Description:
The aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can help us. In particular, the student will learn the following: proofs can help you to really see WHY a result is true; problems that are easy to state can be hard to solve (Fermat's Last Theorem); sometimes statements which appear to be intuitively obvious may turn out to be false (the Hospitals paradox); the answer to a question will often depend crucially on the definitions you are working with. Target audience: suitable for anyone with a knowledge of elementary algebra and prime numbers, as may be obtained by studying A level mathematics.

Keywords:
prime numbers, the Hospitals paradox, elementary algebra, mathematical proofs, Fermat's last theorem

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More information about this material:
Primary Audience: College General Ed
Mobile Compatibility: Not specified at this time
Language: English
Material Version: 0
Cost Involved: no
Source Code Available: no
Accessiblity Information Available: no
Copyright: yes
Creative Commons: Creative Commons License
This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States

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