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| − | ==Project 2 (Chapter 3)==
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| − | *''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202120_4370/2Euclid.nb 2Euclid.nb]
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| − | * 4. Introduction to Project 2 (18 min.):
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| − | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1781327&node=6421296&a=211614421&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
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| − | *Things to do:
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| − | #Explain how and why the EA works.
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| − | #Investigate Questions 1-6. What are your conjectures? Why are your conjectures true?
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| − | #(Skip Section 3.4.)
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| − | #Investigate the questions posed in Section 3.5: Are there GCD and EA for polynomials?
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| − | *5. Speed test: EA vs. PF (<2 min., interesting, but not really relevant):
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| − | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1781821&node=6423008&a=583545906&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
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| − | ==Project 3 (Chapter 9)==
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| − | *''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/3Parametric.nb 3Parametric.nb] (There is now a little "reset" button at the upper right corner of each animation.)
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| − | *[http://www.sosmath.com/trig/Trig5/trig5/pdf/pdf.html Trigonometric Identities]
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| − | *[http://www.xavier.edu/math-undergraduate-research/documents/Write.pdf How to Write Mathematics, by ''Martin Erickson'']
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| − | *6. Introduction to Project 3 (14 min.):
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| − | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1877364&node=7165149&a=1753085689&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
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| − | *There are lots of definitions in the text. Make sure you understand all definitions.
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| − | * Things to do: Exercises 12-14, Questions 13-18, 9.5.3. (If you have the book: Exercise 2-4, Questions 1-6, Question 9.5.3.)
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| − | * Make lots of '''conjectures''' about symmetries, etc, and '''prove''' as many conjectures of yours as possible.
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| − | *I posted two more notebooks for you to look at: [http://helmut.knaust.info/class/202210_2325/301CurveSalad.nb 301CurveSalad.nb] and [http://helmut.knaust.info/class/202210_2325/302ProofwithoutWords.nb 302ProofwithoutWords.nb]. Read the accompanying text carefully.
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