CRN 28702: Projects - Revision history

HelmutKnaust at 22:55, 6 July 2021

2021-07-06T22:55:36Z

HelmutKnaust at 22:54, 6 July 2021

2021-07-06T22:54:15Z

HelmutKnaust: /* Project 3 (Chapter 9) */

2021-05-03T22:48:45Z

‎Project 3 (Chapter 9)

HelmutKnaust at 20:36, 3 April 2021

2021-04-03T20:36:11Z

HelmutKnaust at 21:38, 13 March 2021

2021-03-13T21:38:39Z

HelmutKnaust: Created page with "==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 ..."

2021-02-18T15:58:08Z

Created page with "==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 ..."

New page

==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.):<br>
<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2414489&node=8748580&a=1068042253&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe><p></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/202110_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.

*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>

← Older revision		Revision as of 22:55, 6 July 2021
Line 1:		Line 1:
		+	__NOTOC__
		+	__MATHJAX_NODOLLAR__
	==Project 6 (Chapter 8)==		==Project 6 (Chapter 8)==
	''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202120_4370/6Padic.nb 6Padic.nb] \| [http://helmut.knaust.info/class/202120_4370/601PadicExp.nb 601PadicExp.nb]		''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202120_4370/6Padic.nb 6Padic.nb] \| [http://helmut.knaust.info/class/202120_4370/601PadicExp.nb 601PadicExp.nb]

← Older revision		Revision as of 22:54, 6 July 2021
Line 1:		Line 1:
		+	==Project 6 (Chapter 8)==
		+	''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202120_4370/6Padic.nb 6Padic.nb] \| [http://helmut.knaust.info/class/202120_4370/601PadicExp.nb 601PadicExp.nb]
		+	*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)==
		+	*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/5QuadIter.nb 5QuadIter.nb] \| [http://helmut.knaust.info/class/202120_4370/501Compositions.nb 501Compositions.nb] \| [http://helmut.knaust.info/class/202110_2325/502Repeller.nb 502Repeller.nb]
		+	* 8. Introduction to Project 5 (30 minutes):
		+	<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2105200&node=7916041&a=1324207540&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
		+	*Things to do: Answer all questions in Sections 14.1-14.3 and 14.5.
		+	* 9. Two ''Mathematica'' Notebooks (8 min.):
		+	<html><iframe width="280" height="160" src="https://utep.yuja.com/V/Video?v=2144304&node=7996457&a=766636305&preload=false" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></html>
		+
	==Project 4 (Chapter 4)==		==Project 4 (Chapter 4)==
	*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/4Primes.nb 4Primes.nb]		*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/4Primes.nb 4Primes.nb]

← Older revision		Revision as of 22:48, 3 May 2021
Line 1:		Line 1:
		+	==Project 4 (Chapter 4)==
		+	*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/4Primes.nb 4Primes.nb]
		+	*Things to do: There are no questions in this chapter. Do all the exercises. (As you can see in the notebook, the computational limits mentioned in the textbook no longer apply. You can try some bigger numbers, too.)
		+
	==Project 3 (Chapter 9)==		==Project 3 (Chapter 9)==
	*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/3Parametric.nb 3Parametric.nb]		*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202110_2325/3Parametric.nb 3Parametric.nb]

← Older revision		Revision as of 20:36, 3 April 2021
Line 1:		Line 1:
		+	==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]

← Older revision		Revision as of 21:38, 13 March 2021
Line 1:		Line 1:
		+	==Project 2 (Chapter 3)==
		+	*''Mathematica'' Notebook(s): [http://helmut.knaust.info/class/202120_4370/2Euclid.nb 2Euclid.nb]
		+	* 4. Introduction to Project 2 (18 min.):
		+	<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>
		+	*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.):
		+	<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>
		+
	==Project 1==		==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.		*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.