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Project 2 (Chapter 3)

  • Mathematica Notebook(s): 2Euclid.nb
  • 4. Introduction to Project 2 (18 min.):

  • Things to do:
  1. Explain how and why the EA works.
  2. Investigate Questions 1-6. What are your conjectures? Why are your conjectures true?
  3. (Skip Section 3.4.)
  4. Investigate the questions posed in Section 3.5: Are there GCD and EA for polynomials?
  • 5. Speed test: EA vs. PF (<2 min., interesting, but not really relevant):

Project 3 (Chapter 9)

  • There are lots of definitions in the text. Make sure you understand all definitions.
  • 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.)
  • Make lots of conjectures about symmetries, etc, and prove as many conjectures of yours as possible.
  • I posted two more notebooks for you to look at: 301CurveSalad.nb and 302ProofwithoutWords.nb. Read the accompanying text carefully.
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