CRN 12257: Projects
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| + | ==Project 6 (Chapter 8)== | ||
| + | *10. Prelude: The real numbers (17 min.) | ||
| + | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2194729&node=8095673&a=709644111&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html> | ||
| + | *11. p-adic norms (11 min.) | ||
| + | <html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2194966&node=8096099&a=1327452865&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html> | ||
| + | * Things to do: Work all the exercises and answer all the questions in the chapter. | ||
| + | * A recent popular science article about p-adics: ''Kelsey Houston-Edwards'', [https://www.quantamagazine.org/how-the-towering-p-adic-numbers-work-20201019/ An Infinite Universe of Number Systems], [https://www.quantamagazine.org/ Quanta Magazine] (10/19/2020) | ||
==Project 5 (Chapter 14)== | ==Project 5 (Chapter 14)== | ||
Latest revision as of 21:07, 7 December 2020
[edit] Project 6 (Chapter 8)
- 10. Prelude: The real numbers (17 min.)
- 11. p-adic norms (11 min.)
- Things to do: Work all the exercises and answer all the questions in the chapter.
- A recent popular science article about p-adics: Kelsey Houston-Edwards, An Infinite Universe of Number Systems, Quanta Magazine (10/19/2020)
[edit] Project 5 (Chapter 14)
- Mathematica Notebook(s): 5QuadIter.nb | 501Compositions.nb | 502Repeller.nb
- 8. Introduction to Project 5 (30 minutes):
- Things to do: Answer all questions in Sections 14.1-14.3 and 14.5.
- 9. Two Mathematica Notebooks (8 min.):
[edit] Project 4 (Chapter 11)
- Mathematica Notebook: 4SeqSer.nb
- 7. Introduction to Project 4 (15 min.):
- Things to do: Read and answer all the questions and exercises in Sections 11.1-11.5. Do not do Section 11.6.
- I know that many of you want to become teachers. The learning theory behind a class like ours was first articulated by the Soviet psychologist Lev Vygotsky and centers around the concept of Zone of Proximal Development. If the textbook does not suffice as MKO: your instructor is just a Zoom screen away.
[edit] 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.):
- Things to do:
- 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.
[edit] 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.):
[edit] Project 1
- I have assigned teams on Blackboard. Please contact your other team members via Blackboard and start working on the first project.
- 1. Syllabus and Introduction (18 min.):
- 2. Intro to the Project and Mathematica (16 min.):
- Mathematica Notebook(s): 1Iteration.nb
- Here are guidelines for writing your project reports.Submit your project in PDF format.
- 3. A Remark on Question 6: (4 min.)
- Here is a direct link to the Reflection form. You need to download it to your computer.
