CRN 28702: Projects
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| + | ==Project 3 (Chapter 9)== | ||
| + | *''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/3Parametric.nb 3Parametric.nb] | ||
| + | *[http://www.sosmath.com/trig/Trig5/trig5/pdf/pdf.html Trigonometric Identities] | ||
| + | *[http://www.xavier.edu/math-undergraduate-research/documents/Write.pdf How to Write Mathematics, by ''Martin Erickson''] | ||
| + | *6. Introduction to Project 3 (14 min.): | ||
| + | <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> | ||
| + | *6A. Addendum (<1 min.): | ||
| + | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1877943&node=7167259&a=1898397386&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html> | ||
| + | **There are lots of definitions in the text. Make sure you understand all definitions. | ||
| + | ** Exercise 12-14, Questions 13-18, 9.5.3. (If you have the book: Exercise 2-4, Questions 1-6, Question 9.5.3.) | ||
| + | **'''Prove''' as many conjectures of yours as possible. | ||
| + | |||
==Project 2 (Chapter 3)== | ==Project 2 (Chapter 3)== | ||
*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202120_4370/2Euclid.nb 2Euclid.nb] | *''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202120_4370/2Euclid.nb 2Euclid.nb] | ||
Revision as of 14:36, 3 April 2021
Project 3 (Chapter 9)
- Mathematica Notebook(s): 3Parametric.nb
- Trigonometric Identities
- How to Write Mathematics, by Martin Erickson
- 6. Introduction to Project 3 (14 min.):
- 6A. Addendum (<1 min.):
- There are lots of definitions in the text. Make sure you understand all definitions.
- Exercise 12-14, Questions 13-18, 9.5.3. (If you have the book: Exercise 2-4, Questions 1-6, Question 9.5.3.)
- Prove as many conjectures of yours as possible.
Project 2 (Chapter 3)
- Mathematica Notebook(s): 2Euclid.nb
- 4. Introduction to Project 2 (18 min.):
- Things to do:
- Explain how and why the EA works.
- Investigate Questions 1-6. What are your conjectures? Why are your conjectures true?
- (Skip Section 3.4.)
- Investigate the questions posed in Section 3.5: Are there GCD and EA for polynomials?
- 5. Speed test: EA vs. PF (<2 min.):
Project 1
- I have assigned you to a team on Blackboard. (Currently there is only one team.) Please contact your other team members via Blackboard and start working on the first project.
- 1. Syllabus and Introduction (15 min.):
- 2. Intro to the Project and Mathematica (16 min.):
- Mathematica Notebook(s): 1Iteration.nb
- Things to do for Project 1: Answer all questions in the chapter. Questions 6 and 8 are central! Section 1.5 may help with understanding what is going on. Remember that answering "why" is always the most important thing in Mathematics.
- 3. A Remark on Question 6: (4 min.)
