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| + | ==Project 1== | ||
| + | *I have assigned you to a team on Blackboard. Please contact your other team members via Blackboard and start working on the first project. | ||
| + | *1. Introduction and Syllabus (19 min.) [Sorry for that little transparent rectangle in the video.]<br> | ||
| + | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=3490973&node=11649760&a=1851157731&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html> | ||
| + | *2. Intro to the Project and ''Mathematica'' (16 min.):<br> | ||
| + | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1660526&node=5839016&a=1250321241&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe><p></html> | ||
| + | *''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202210_2325/1Iteration.nb 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. | ||
| + | * Here are [http://helmut.knaust.info/class/202110_2325/Guidelines.pdf guidelines for writing your project reports]. | ||
| + | *3. A Remark on Question 6: (4 min.)<br> | ||
| + | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=1720817&node=6200091&a=1273399462&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html> | ||
| + | |||
==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 13:55, 9 October 2021
Project 1
- I have assigned you to a team on Blackboard. Please contact your other team members via Blackboard and start working on the first project.
- 1. Introduction and Syllabus (19 min.) [Sorry for that little transparent rectangle in the video.]
- 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.
- Here are guidelines for writing your project reports.
- 3. A Remark on Question 6: (4 min.)
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., interesting, but not really relevant):
Project 3 (Chapter 9)
- Mathematica Notebook(s): 3Parametric.nb (There is now a little "reset" button at the upper right corner of each animation.)
- Trigonometric Identities
- How to Write Mathematics, by Martin Erickson
- 6. Introduction to Project 3 (14 min.):
- 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.
