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− | + | [[Category:MA271Fall2020Walther]] | |

+ | [[Category:MA271]] | ||

+ | [[Category:math]] | ||

+ | |||

+ | =Rhea Section for [[MA271]]: "Multivariable Calculus"= | ||

+ | '''Professor Walther, Fall 2020''' | ||

+ | ---- | ||

+ | <div style="border-width: 1px 1px 1px 1px; border-style: solid; border-color: rgb(68, 68, 136) rgb(68, 68, 136) rgb(68, 68, 136) rgb(51, 51, 136); text-align: center; padding: 2em; margin: auto; width: 30em; background: none repeat scroll 0% 0% rgb(238, 238, 255);"> | ||

+ | <br> | ||

+ | |||

+ | 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<nowiki> [[Category:MA271Fall2020Walther]] </nowiki> at the bottom of each of your pages, | ||

+ | |||

+ | <span style="color: red; font-size: 12px;">OTHERWISE NO CREDIT !</span> | ||

+ | |||

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

+ | </div> | ||

+ | |||

+ | ---- | ||

+ | ==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== | ||

+ | *[http://www.math.purdue.edu/~walther/teach/271/271-fall-covid.html Course Web Page] | ||

+ | *[[WaltherF13_getting_started|How to get started Writing on Rhea]] | ||

+ | ---- | ||

+ | == Course Related Material == | ||

+ | *[[MA271 Fall 2018 Walther Course Calendar|Course Calendar]] | ||

+ | *Discussion of Homework Problems (Just keep adding to it!) | ||

+ | **[[MA 279 Fall2018 Walther assignment sheet|Assignment sheet]] | ||

+ | **[[MA 279 Fall2018 Walther Syllabus|Syllabus]] | ||

+ | ---- | ||

+ | ==Discussion== | ||

+ | *post link to discussion page here | ||

+ | *post link to discussion page here | ||

+ | ---- | ||

+ | ==Other Links == | ||

+ | *[http://www.math.purdue.edu/~mathclub/ Math Club Homepage] | ||

+ | *[[Math_squad|Rhea's Math Squad]] | ||

+ | *[http://www.purdue.edu/newsroom/releases/2013/Q3/new-program-moves-more-purdue-students-to-study-abroad.html Study Abroad] | ||

+ | *[http://www.purdue.edu/gradexpo The Big 10 Graduate School Expo] | ||

+ | *[[MathInternships|Math Internships and Research Opportunities (REU's)]] | ||

+ | *[[MathCompetitiveGame| Math Game Competition]] | ||

+ | ---- | ||

+ | == 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:Copyrights|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. | ||

+ | |||

+ | |||

+ | |||

+ | |||

+ | {| border="1" class="wikitable" | ||

+ | |- | ||

+ | ! Topic Number | ||

+ | ! Topic Description | ||

+ | ! Team Name | ||

+ | |- | ||

+ | | 1 | ||

+ | | [[Walther_MA271_Fall2020_topic1|The Galois group]] | ||

+ | | Group 1: | ||

+ | |- | ||

+ | | 2 | ||

+ | | [[Walther_MA271_Fall2020_topic2|Markov chains]] | ||

+ | | Group 2: | ||

+ | |- | ||

+ | | 3 | ||

+ | | [[Walther_MA271_Fall2020_topic3|The fundamental group]] | ||

+ | | Group 3: | ||

+ | |- | ||

+ | | 4 | ||

+ | | [[Walther_MA271_Fall2020_topic4|Cluster algebras]] | ||

+ | | Group 4: | ||

+ | |- | ||

+ | | 5 | ||

+ | | [[Walther_MA271_Fall2020topic5|Hyperplane arrangements]] | ||

+ | | Group 5: | ||

+ | |- | ||

+ | | 6 | ||

+ | | [[Walther_MA271_Fall2020_topic6|Milnor fibers]] | ||

+ | | Group 6: | ||

+ | |- | ||

+ | | 7 | ||

+ | | [[Walther_MA271_Fall2020_topic7|Riemann surfaces]] | ||

+ | | Group 7: | ||

+ | |- | ||

+ | | 8 | ||

+ | | [[Walther_MA271_Fall2020_topic8|Modular forms]] | ||

+ | | Group 8: | ||

+ | |- | ||

+ | | 9 | ||

+ | | [[Walther_MA271_Fall2020_topic9|The Laplace operator]] | ||

+ | | Group 9: | ||

+ | |- | ||

+ | | 10 | ||

+ | | [[Walther_MA271_Fall2020_topic10|Littewood--Richardson rules]] | ||

+ | | Group 10: | ||

+ | |- | ||

+ | | 11 | ||

+ | | [[Walther_MA271_Fall2020_topic11|Calabi--Yau manifolds]] | ||

+ | | Group 11: | ||

+ | |- | ||

+ | | 12 | ||

+ | | [[Walther_MA271_Fall2020_topic12|Elliptc curves]] | ||

+ | | Group 12: | ||

+ | |- | ||

+ | | 13 | ||

+ | | [[Walther_MA271_Fall2020_topic13|Fisher information]] | ||

+ | | Group 13: | ||

+ | |- | ||

+ | | 14 | ||

+ | | [[Walther_MA271_Fall2020_topic14|Feynman integrals]] | ||

+ | | Group 14: | ||

+ | |- | ||

+ | | 15 | ||

+ | | [[Walther_MA271_Fall2020_topic15|Goedel incompleteness]] | ||

+ | | Group 15: | ||

+ | |- | ||

+ | | 16 | ||

+ | | [[Walther_MA271_Fall2020_topic16|Curse of dimensionality]] | ||

+ | | Group 16: | ||

+ | |- | ||

+ | | 17 | ||

+ | | [[Walther_MA271_Fall2020_topic17|Fractals]] | ||

+ | | Group 17: | ||

+ | |- | ||

+ | | 18 | ||

+ | | [[Walther_MA271_Fall2020_topic18|Haar measure]] | ||

+ | | Group 18: | ||

+ | |- | ||

+ | | 19 | ||

+ | | [[Walther_MA271_Fall2020_topic19|Cauchy's residue theorem]] | ||

+ | | Group 19: | ||

+ | |- | ||

+ | | 20 | ||

+ | | [[Walther_MA271_Fall2020_topic20|Fourier transforms]] | ||

+ | | Group 20: | ||

+ | |- | ||

+ | | 21 | ||

+ | | [[Walther_MA271_Fall2020_topic21|Nyquist's theorem]] | ||

+ | | Group 21: | ||

+ | |- | ||

+ | | 22 | ||

+ | | [[Walther_MA271_Fall2020_topic22|Hyperbolic spaces]] | ||

+ | | Group 22: | ||

+ | |- | ||

+ | | 23 | ||

+ | | [[Walther_MA271_Fall2020_topic23|Single value decompositions]] | ||

+ | | Group 23: | ||

+ | |- | ||

+ | | 24 | ||

+ | | [[Walther_MA271_Fall2020_topic24|Hilbert's Nullstellensatz]] | ||

+ | | Group 24: | ||

+ | |- | ||

+ | | 25 | ||

+ | | [[Walther_MA271_Fall2020_topic25|Maximum principle in analysis]] | ||

+ | | Group 25: | ||

+ | |- | ||

+ | | 26 | ||

+ | | [[Walther_MA271_Fall2020_topic26|Banach spaces]] | ||

+ | | Group 26: | ||

+ | |- | ||

+ | | 27 | ||

+ | | [[Walther_MA271_Fall2020_topic27|Penrose tilings]] | ||

+ | | Group 27: | ||

+ | |- | ||

+ | |} | ||

+ | |||

+ | |||

+ | |||

+ | |||

[[Category:MA271Fall2020Walther]] | [[Category:MA271Fall2020Walther]] |

## Latest revision as of 12:53, 2 August 2020

## Contents

# 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

- Course Calendar
- Discussion of Homework Problems (Just keep adding to it!)

## Discussion

- post link to discussion page here
- post link to discussion page here

## Other Links

- Math Club Homepage
- Rhea's Math Squad
- Study Abroad
- The Big 10 Graduate School Expo
- Math Internships and Research Opportunities (REU's)
- Math Game Competition

## 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 13: |

14 | Feynman integrals | Group 14: |

15 | Goedel incompleteness | Group 15: |

16 | Curse of dimensionality | Group 16: |

17 | Fractals | Group 17: |

18 | Haar measure | Group 18: |

19 | Cauchy's residue theorem | Group 19: |

20 | Fourier transforms | Group 20: |

21 | Nyquist's theorem | Group 21: |

22 | Hyperbolic spaces | Group 22: |

23 | Single value decompositions | Group 23: |

24 | Hilbert's Nullstellensatz | Group 24: |

25 | Maximum principle in analysis | Group 25: |

26 | Banach spaces | Group 26: |

27 | Penrose tilings | Group 27: |