(32 intermediate revisions by 8 users not shown)
Line 1: Line 1:
−
[[Category:MA453Fall2013Walther]]
+
<br>
−
[[Category:MA453]]
+
−
[[Category:math]]
+
  
−
=Rhea Section for [[MA453]] Professor Walther, Fall 2013=
+
= Rhea Section for [[MA453]]: "Abstract Algebra" =
 +
 
 +
'''Professor Walther, Fall 2013'''
  
 
----
 
----
−
<div style="border-width: 1px 1px 1px 4px; 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);">
+
<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>  
 
<br>  
  
−
[Category:MA453Fall2013Walther] at the bottom of the page.
+
Welcome!
 +
 
 +
Please write <nowiki> [[Category:MA453Fall2013Walther]] </nowiki> at the bottom of each of your pages,
 +
 
 +
<span style="color: red; font-size: 12px;">OTHERWISE NO CREDIT&nbsp;!</span>
  
−
<span style="color: red; font-size: 20px;">OTHERWISE NO CREDIT&nbsp;!</span> (If you use the "Create a child page" button, this should happen automatically...)  
+
(If you use the "Create a child page" button, this should happen automatically...)  
 
</div>  
 
</div>  
 +
----
  
 +
== Course Info ==
  
−
== [[Constant Revision|First time? Read this general note]]  ==
+
*Instructor: Prof. Walther
 +
**Office: MATH 746
 +
**email: walther at math dot purdue
 +
**Office hours: Tue 12:30-1:30, Th 1:30-2:00.
 +
*Book: Contemporary Abstract Algeba by J. Gallian, Edition 8
  
−
== corner/How to get started  ==
+
----
  
−
*Read the marvelous [[Media:RheaManual.pdf|Rhea Help Manual]] written by Nate Orlow. Consider attending this [[Training18Jan2010|informal mediawiki training session]] on Monday Jan 18. Your colleague [[User:Masonz|Zach]] will tell you everything you need to know about editing and navigating Rhea.
+
== Important Links ==
  
−
*Getting started
+
*[http://www.math.purdue.edu/~walther/teach/453/453-fall-tth.html Course Web Page]
−
**To start, click the "Help" button above and read what's there.  
+
*[[WaltherF13 getting started|How to get started Writing on Rhea]]
−
**To edit pages, first log in (with your purdue account to create pages. Then click "edit" (under "Page" above) and remember to click "Save Page" after you are done editting.).
+
−
**To get a quick idea what works how, click "edit" on this page to see how to do the things visible on this page.
+
−
**Note that the "edit" mode has a spell-checking feature: look for red-underlined stuff.
+
  
−
*Creating pages
 
−
**To create a new page named "B" from a page A, go to edit page A and insert the text <nowiki>[[B]]</nowiki>. (Note that "B" is like a web address for a webpage. Each page also has a name, but you can call the link anything (like fancy_title) by typing <nowiki>[[B|fancy_title]]</nowiki> rather than just <nowiki>B</nowiki>. After saving, find the new red link on page A that appeared. When you click it, you'll note you are now on page B (which of course is empty at this point).
 
−
**NOTE: if the "new" link comes out blue, instead of red, you chose a title of an existing page and did not create a new one. The blue link gets you simply to the already existing one. Use distinctive names for your new creations!
 
−
**If you place "Category:MA375Spring2012Walther" enclosed by square brackets on top of a new page it will be parsed by the system as belonging to this course. It can then be searched (for) in a meaningful way.
 
−
 
−
*Advanced Rhea techniques
 
−
**You can look at other Rhea pages by clicking "main page" and then "course pages". Especially the ECE pages will get you an idea where one can take Rhea...
 
−
**Do you want to [[MA 375 Spring 2009 Walther display|display pages in other pages]]?
 
 
----
 
----
−
== Links  ==
 
−
*[http://www.math.purdue.edu/~walther/teach/375/375-spring-tth.html Course Page]
 
−
*[http://www.math.purdue.edu/~mathclub/ Math Club Homepage]
 
−
*[[Math_squad|Rhea's Math Squad]]
 
  
 
== Course Related Material  ==
 
== Course Related Material  ==
  
−
== Your turn! A bonus point opportunity  ==
+
*[[MA453 Fall 2013 Walther Course Notes|Course Notes]]
 +
*Discussion of Homework Problems (Just keep adding to it!)
 +
**[[MA 453 Fall 2013 Walther HW 1|HW 1]]
 +
**[[MA 453 Fall 2013 Walther HW 2|HW 2]]
 +
*[[MA 453 Fall 2013 Walther Studygroups|Fall 2013 Study Group Meetings]]
 +
 
 +
----
 +
 
 +
== Discussion ==
  
−
You have the opportunity to earn up to a 3% bonus by contributing a Rhea page on a subject related to linear algebra. To pick a subject, simply write your name next to it. Please no more than one student per subject. Your 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! Please do not simply copy the lecture notes and do not plagiarize. Read [[Rhea:Copyrights|Rhea's copyright policy]] before proceeding.  
+
*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 2013]
 +
*[[MathInternships|Math Internships]]
 +
*[[MathCompetitiveGame|Math Game Competition]]
 +
 
 +
----
 +
 
 +
== Your turn! Student Projects  ==
 +
 
 +
As per the syllabus, 5% 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 name next to it. Please no more than one student per subject. Your 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! Please do not simply copy the lecture notes and do not plagiarize. Read [[Rhea:Copyrights|Rhea's copyright policy]] before proceeding.  
  
 
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 (Dec 1, 2013)
  
 
{| border="1" class="wikitable"
 
{| border="1" class="wikitable"
Line 53: Line 76:
 
! Topic Number  
 
! Topic Number  
 
! Topic Description  
 
! Topic Description  
−
! Student Name  
+
! Team Name
−
! Deadline
+
 
|-
 
|-
 
| 1  
 
| 1  
−
| Topic
+
| The Burnside theorem and counting orbits
−
| Name
+
| [[Walther453Fall13 Topic1|Name]]
−
| At Final
+
 
|-
 
|-
 
| 2  
 
| 2  
−
| Topic
+
| p-groups and the Sylow theorems
−
| Name
+
| [[Walther453Fall13 Topic2|Team 7]]
−
| At Final
+
 
|-
 
|-
 
| 3  
 
| 3  
−
| Topic
+
| Penrose tilings
−
| Name
+
| [[Walther453Fall2013 Topic3|Team 1]]
−
| At Final
+
 
|-
 
|-
 
| 4  
 
| 4  
−
| Topic
+
| Classifying Platonic solids via subgroups of SO(3)
−
| Name
+
| [[Walther453Fall13 Topic4|Team 5]]
−
| At Final
+
 
|-
 
|-
 
| 5  
 
| 5  
−
| Topic
+
| Quadratic forms, the spectral theorem, and signature
−
| Name
+
| [[Walther453Fall13 Topic5|Name]]
−
| At Final
+
 
|-
 
|-
 
| 6  
 
| 6  
−
| Topic
+
| Pell's equation: subgroups of the solution set
−
| Name
+
| [[Walther453Fall13 Topic6|Name]]
−
| At Final
+
 
|-
 
|-
 
| 7  
 
| 7  
−
| Topic
+
| What polynomials allow explicit formulae for solutions?
−
| Name
+
| [[Walther453Fall13 Topic7|Name]]
−
| At Final
+
 
|-
 
|-
 
| 8  
 
| 8  
−
| Topic
+
| The classification of finite simple groups
−
| Name
+
| [[Walther453Fall13 Topic8|Name]]
−
| At Final
+
 
|-
 
|-
 
| 9  
 
| 9  
−
| Topic
+
| The monster groups and other sporadic groups
−
| Name
+
| [[Walther453Fall13 Topic9|Team2]]
−
| At Final
+
 
|-
 
|-
 
| 10  
 
| 10  
−
| Topic
+
| Origami and groups
−
| Name
+
| [[Walther453Fall13 Topic10|Team6]]
−
| At Final
+
 
|-
 
|-
 
| 11  
 
| 11  
−
| Topic
+
| Lie groups
−
| Name
+
| [[Walther453Fall13 Topic11|Name]]
−
| At Final
+
 
|-
 
|-
 
| 12  
 
| 12  
−
| Topic
+
| Crystals and symmetries
−
| Name
+
| [[Walther453Fall13 Topic12|Team 3]]
−
| At Final
+
 
|-
 
|-
 
| 13  
 
| 13  
−
| Topic
+
| [[Walther453Fall13 Topic13 paper|Elliptic curves and public key cryptography ]]
−
| Name
+
| [[Walther453Fall13 Topic13|Team 4]]
−
| At Final
+
−
|-
+
−
| 14
+
−
| Topic
+
−
| Name
+
−
| At Final
+
−
|-
+
−
| 15
+
−
| Topic
+
−
| Name
+
−
| At Final
+
 
|}
 
|}
  
−
Note: if you want to make a matrix, look at the source code for this page (click "edit") to see the syntax for the following matrix: <math>\left(\begin{array}{cccc}1&2&3&4\\5&6&7&8\end{array}\right)</math>
+
[[Bla]]
  
 
----
 
----
  
−
<br>
+
[[MA453|Back to MA453 Main page]]
  
−
<br>
+
[[Category:MA453Fall2013Walther]] [[Category:MA453]] [[Category:Math]] [[Category:Algebra]]
−
 
+
−
*[[MA 375 Spring 2012 Walther Course Notes|Postings of Course Notes]]
+
−
 
+
−
*[[MA 375 Spring 2012 Walther Definitions|Discussion of Definitions]]
+
−
 
+
−
*[[MA 375 Spring 2012 Walther Table of Formulas|Table of Formulas]]
+
−
 
+
−
*Discussion of Homework Problems (Just keep adding to it!)
+
−
**[[MA 375 Spring 2012 Walther HW 1|HW 1:]]  
+
−
**[[MA 375 Spring 2012 Walther HW 2|HW 2:]]
+
−
 
+
−
<br>
+
−
 
+
−
=== Other Discussions  ===
+
−
 
+
−
*[[MA 375 Spring 2012 Walther Discussion Majors|What is your major?]]
+
−
*[[MA 375 Spring 2012 Walther Discussion HWsolutions|Discussion about the availability of hw solutions online| Let's discuss the availability of HW solutions online.]]
+
−
*[[MA 375 Spring 2012 Walther Discussion grades|Are you for or against using plus and minus grades?]]
+
−
*[[MA 375 Spring 2012 Walther Discussion Final|Does anyone believe that the Final Exam could possibly be cumulative?]]
+
−
*[[MA 375 Spring 2012 Walther Project Euler|Project Euler]]
+
−
 
+
−
=== Exam Related  ===
+
−
 
+
−
*[[MA 375 Spring 2012 Walther Study Times|Study Times]]
+
−
*[[MA 375 Spring 2012 Walther MTQ|Midterm Practice Questions]]
+
−
*[[MA 375 Spring 2012 Walther Final Exam stuff|Final Exam Stuff]]
+
−
*[[FAQ]]
+
−
 
+
−
=== Miscellaneous  ===
+
−
 
+
−
*[[Textbooks]]
+
−
*[[Riddles and Fun]]
+
−
*[[Math opportunities]]
+
−
 
+
−
 
+
−
 
+
−
 
+
−
----
+
−
[[MA453|Back to MA453 Main page]]
+

Latest revision as of 02:57, 28 November 2013


Rhea Section for MA453: "Abstract Algebra"

Professor Walther, Fall 2013


Welcome!

Please write [[Category:MA453Fall2013Walther]] 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
    • Office hours: Tue 12:30-1:30, Th 1:30-2:00.
  • Book: Contemporary Abstract Algeba by J. Gallian, Edition 8

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, 5% 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 name next to it. Please no more than one student per subject. Your 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! Please do not simply copy the lecture notes and do not plagiarize. Read Rhea's copyright policy before proceeding.

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

Deadline: Sunday before dead week (Dec 1, 2013)

Topic Number Topic Description Team Name
1 The Burnside theorem and counting orbits Name
2 p-groups and the Sylow theorems Team 7
3 Penrose tilings Team 1
4 Classifying Platonic solids via subgroups of SO(3) Team 5
5 Quadratic forms, the spectral theorem, and signature Name
6 Pell's equation: subgroups of the solution set Name
7 What polynomials allow explicit formulae for solutions? Name
8 The classification of finite simple groups Name
9 The monster groups and other sporadic groups Team2
10 Origami and groups Team6
11 Lie groups Name
12 Crystals and symmetries Team 3
13 Elliptic curves and public key cryptography Team 4

Bla

Back to MA453 Main page

Retrieved from "https://www.projectrhea.org/rhea/index.php?title=2013_Fall_MA_453_Walther&oldid=60724"
Shortcuts
Help Main Wiki Page Random Page Special Pages Log in
Search

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett