Line 55: Line 55:
 
----
 
----
 
== Your turn! Student Projects  ==
 
== Your turn! Student Projects  ==
As per the syllabus, 10% of your grade will be based on contributing a Rhea page on a subject related to the course. To pick a subject, simply write your group name next to it.  
+
As per the syllabus, 10% of your grade will be based on contributing a Rhea page on a subject of your choice. To pick a subject suggested below, simply write your name next to it. (See above how to edit this page).
  
 
Notes:
 
Notes:
* No more than one group per subject.  
+
* No more than four people per subject.  
* Once a group has signed up with a project, this project is closed to other groups.
+
* Do not remove other's people's names from projects. Rhea keeps score of edits; this is not anonymous.
* A group cannot un-sign from a subject they signed up for. Signing up is permanent.
+
  
Your project page will be graded based on content as well as interactions with other people (page views, comments/questions on the page, etc.). The number of links to other courses and subjects will also be taken into account: the more the merrier! Do not simply copy the book and do not plagiarize. Read [[Rhea:Copyrights|Rhea's copyright policy]] before proceeding.  
+
Your project page will be graded based on content and presentation. Describe the subject as you see it, and report what you find interesting. Feel free to add examples, computations, etc. Links to other sources and related subjects will improve the score.
 +
Do not simply copy a book or webpage and do not plagiarize. Use your own words to say what you want to say, don't paste other people's work without acknowledging explicitly.  Read [[Rhea:Copyrights|Rhea's copyright policy]] before proceeding.
 +
 
 +
Required components: see the syllabus.
  
 
For some lovely contributions, see [[Honors Project]] 2011 by Daniel Lee.
 
For some lovely contributions, see [[Honors Project]] 2011 by Daniel Lee.
  
Deadline: Sunday before dead week. No changes  after that will be taken into account.
+
Deadline: Sunday before finals week, December 2nd. No changes  after that will be taken into account.
  
Here are the [http://www.math.purdue.edu/~walther/teach/279/projects2018.pdf Descriptions of the Projects]
 
  
Here is the [http://www.math.purdue.edu/~walther/teach/279/rhea_grading.pdf Description of the Grading Policy]
 
  
  
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|-
 
|-
 
| 1  
 
| 1  
| [[Walther_MA279_Fall2018_topic1|Phyllotaxis and Fibonacci Numbers (9.a)]]
+
| [[Walther_MA271_Fall2020_topic1|The Galois group]]
| Group 1: Jack Thomas Kurfman, Sean Egloff, Zach Hupp, Deeptanshu Malik, Jaqueline Stanley
+
| Group 1:  
 
|-
 
|-
 
| 2  
 
| 2  
| [[Walther_MA279_Fall2018_topic2|The Golden Ratio and Human Perception (9.b)]]
+
| [[Walther_MA271_Fall2020_topic2|Markov chains]]
| Group 2: Daniel Bloom, Corajean Medina, Pratyush Jain, Liam Plunkitt, Qianru Jia
+
| Group 2:  
 
|-
 
|-
 
| 3  
 
| 3  
| [[Walther_MA279_Fall2018_topic3|The Mysteries of the Number e (10.a)]]
+
| [[Walther_MA271_Fall2020_topic3|The fundamental group]]
| Group 3: Rundong Huang, Donnie Adams, John Roth Garcia, Mihir Tiwari, Austin Weaver
+
| Group 3:  
 
|-
 
|-
 
| 4  
 
| 4  
| [[Walther_MA279_Fall2018_topic4|How to Plan Buying a House (10.c)]]
+
| [[Walther_MA271_Fall2020_topic4|Cluster algebras]]
| Group 4: Kelly Nicole Plakyda, Victoria Oldson, Calvin Henry, Zijie Zhou, Simon Langowski
+
| Group 4:  
 
|-
 
|-
 
| 5  
 
| 5  
| [[Walther_MA279_Fall2018topic5|Rigid Motions in 3-space(11.b)]]
+
| [[Walther_MA271_Fall2020topic5|Hyperplane arrangements]]
 
| Group 5:
 
| Group 5:
 
|-
 
|-
 
| 6
 
| 6
| [[Walther_MA279_Fall2018_topic6|Penrose Tilings (11.c)]]
+
| [[Walther_MA271_Fall2020_topic6|Milnor fibers]]
| Group 6: Katie Huntzinger, Stephen Sutton, Benjamin Barr, Parshwa Shah, Oscar Thomas
+
| Group 6:  
 
|-
 
|-
 
| 7  
 
| 7  
| [[Walther_MA279_Fall2018_topic7|Fractals and Music (12.b)]]  
+
| [[Walther_MA271_Fall2020_topic7|Riemann surfaces]]  
| Group 7: Noah Philip Talbot, Daniel Joshua Atallah, Daksh Jotwani, Zoe Phillips, Alex Vian
+
| Group 7:  
 
|-
 
|-
 
| 8  
 
| 8  
| [[Walther_MA279_Fall2018_topic8|Fractal Antennas (12.d)]]
+
| [[Walther_MA271_Fall2020_topic8|Modular forms]]
 
| Group 8:
 
| Group 8:
 
|-
 
|-
 
| 9  
 
| 9  
| [[Walther_MA279_Fall2018_topic9|The Malthusian Doctrine (Mini 3.a)]]
+
| [[Walther_MA271_Fall2020_topic9|The Laplace operator]]
| Group 9: Ryan Sullivan, Albert Yu, Ji Ma, Alicia Troyer, Xinping Zhang
+
| Group 9:  
 
|-
 
|-
 
| 10
 
| 10
| [[Walther_MA279_Fall2018_topic10|The size of the US Population and the Logistic Model (Mini 3.b)]]
+
| [[Walther_MA271_Fall2020_topic10|Littewood--Richardson rules]]
| Group 10: Yujie Chen, Qining Guo, Tong Ding, Qihui Feng, Dingyue Liu
+
| Group 10:  
 
|-
 
|-
 
| 11  
 
| 11  
| [[Walther_MA279_Fall2018_topic11|Graph Coloring and Senate Committees(Mini 2)]]
+
| [[Walther_MA271_Fall2020_topic11|Calabi--Yau manifolds]]
| Group 11: Logesh Roshan Ramadoss, Yash Pundlik, Pranav Ram, Prashast Vaidya, Pranav Anappindi
+
| Group 11:  
 
|-
 
|-
 
| 12  
 
| 12  
| [[Walther_MA279_Fall2018_topic12|Montana vs Huntington-Hill (Mini 1.b)]]
+
| [[Walther_MA271_Fall2020_topic12|Elliptc curves]]
| Group 12: Sean Flannery, Laura Long, Sam Mercier, Mark Palij, Yash Pujara
+
| Group 12:
 +
|-
 +
| 13
 +
| [[Walther_MA271_Fall2020_topic13|Fisher information]]
 +
| Group 12:
 +
|-
 +
| 14
 +
| [[Walther_MA271_Fall2020_topic14|Feynman integrals]]
 +
| Group 12:
 +
|-
 +
| 15
 +
| [[Walther_MA271_Fall2020_topic15|Goedel incompleteness]]
 +
| Group 12:
 +
|-
 +
| 16
 +
| [[Walther_MA271_Fall2020_topic16|Curse of dimensionality]]
 +
| Group 12:
 +
|-
 +
| 17
 +
| [[Walther_MA271_Fall2020_topic17|Fractals]]
 +
| Group 12:
 +
|-
 +
| 18
 +
| [[Walther_MA271_Fall2020_topic18|Haar measure]]
 +
| Group 12:
 +
|-
 +
| 19
 +
| [[Walther_MA271_Fall2020_topic19|Cauchy's residue theorem]]
 +
| Group 12:
 +
|-
 +
| 20
 +
| [[Walther_MA271_Fall2020_topic20|Fourier transforms]]
 +
| Group 12:
 +
|-
 +
| 21
 +
| [[Walther_MA271_Fall2020_topic21|Nyquist's theorem]]
 +
| Group 12:
 +
|-
 +
| 22
 +
| [[Walther_MA271_Fall2020_topic22|Hyperbolic spaces]]
 +
| Group 12:
 +
|-
 +
| 23
 +
| [[Walther_MA271_Fall2020_topic23|Single value decompositions]]
 +
| Group 12:
 +
|-
 +
| 24
 +
| [[Walther_MA271_Fall2020_topic24|Hilbert's Nullstellensatz]]
 +
| Group 12:
 +
|-
 +
| 25
 +
| [[Walther_MA271_Fall2020_topic25|Maximum principle in analysis]]
 +
| Group 12:
 +
|-
 +
| 26
 +
| [[Walther_MA271_Fall2020_topic26|Banach spaces]]
 +
| Group 12:
 +
|-
 +
| 27
 +
| [[Walther_MA271_Fall2020_topic27|Penrose tilings]]
 +
| Group 12:  
 
|-
 
|-
 
|}
 
|}

Revision as of 12:52, 2 August 2020

Rhea Section for MA 271 Professor Walther, Fall 2020

Rhea Section for MA271: "Multivariable Calculus"

Professor Walther, Fall 2020



Welcome!

To edit: click on "user" and choose "log in" in the drop down menu. Enter Purdue ID and password. After logging in, click "actions" and select "edit". Then make the requisite changes in the editor you will see. Then click "save page" all the way down. Check that you wrote what you wanted.

Please write [[Category:MA271Fall2020Walther]] at the bottom of each of your pages,

OTHERWISE NO CREDIT !

(If you use the "Create a child page" button, this should happen automatically...)


Course Info

  • Instructor: Prof. Walther
    • Office: MATH 746
    • email: walther at math dot purdue dot edu
    • Office hours: Mon 11:30-12:30, Th 2:00-3:00 in my office or MATH817.
  • Class time and location: MTWTh 8:30-9:20 and 9:30-10:20, REC 122
  • Book: Thomas' Calculus, early transcendentals. Edition 14. You need chapters 10-16 only.

Important Links


Course Related Material


Discussion

  • post link to discussion page here
  • post link to discussion page here

Other Links


Your turn! Student Projects

As per the syllabus, 10% of your grade will be based on contributing a Rhea page on a subject of your choice. To pick a subject suggested below, simply write your name next to it. (See above how to edit this page).

Notes:

  • No more than four people per subject.
  • Do not remove other's people's names from projects. Rhea keeps score of edits; this is not anonymous.

Your project page will be graded based on content and presentation. Describe the subject as you see it, and report what you find interesting. Feel free to add examples, computations, etc. Links to other sources and related subjects will improve the score. Do not simply copy a book or webpage and do not plagiarize. Use your own words to say what you want to say, don't paste other people's work without acknowledging explicitly. Read Rhea's copyright policy before proceeding.

Required components: see the syllabus.

For some lovely contributions, see Honors Project 2011 by Daniel Lee.

Deadline: Sunday before finals week, December 2nd. No changes after that will be taken into account.



Topic Number Topic Description Team Name
1 The Galois group Group 1:
2 Markov chains Group 2:
3 The fundamental group Group 3:
4 Cluster algebras Group 4:
5 Hyperplane arrangements Group 5:
6 Milnor fibers Group 6:
7 Riemann surfaces Group 7:
8 Modular forms Group 8:
9 The Laplace operator Group 9:
10 Littewood--Richardson rules Group 10:
11 Calabi--Yau manifolds Group 11:
12 Elliptc curves Group 12:
13 Fisher information Group 12:
14 Feynman integrals Group 12:
15 Goedel incompleteness Group 12:
16 Curse of dimensionality Group 12:
17 Fractals Group 12:
18 Haar measure Group 12:
19 Cauchy's residue theorem Group 12:
20 Fourier transforms Group 12:
21 Nyquist's theorem Group 12:
22 Hyperbolic spaces Group 12:
23 Single value decompositions Group 12:
24 Hilbert's Nullstellensatz Group 12:
25 Maximum principle in analysis Group 12:
26 Banach spaces Group 12:
27 Penrose tilings Group 12:

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett