Abstract Algebra II (Math 434), Spring 2016

Textbook, Syllabus and Grades

• Tom Judson, Abstract Algebra: Theory and Applications
• Robert Beezer, A Second Course in Linear Algebra [PDF]
  • Section 1.4: Invariant Subspaces
  • Chapter 3: Canonical Forms
• Syllabus [PDF]
• Project Description
• Grades: Math 434, Spring 2016 [Sage, Reading Questions] [Course Project]

Sage

• Sage and Group Theory Worksheets
  • PDF of Sage help and exercises
  • Sage Worksheets - entire textbook, Sage help and Sage exercises
  • Sage Worksheets - just Sage exercies, good for starting homework
• SageMathCloud
• UPS Sage Server (on-campus, or vDesk, or VPN)
• Sage Algebra Quickref
• Sage Home
• Public Server
• Sage Cell Server
• Sage for Undergraduates, by Gregory Bard [More]
• Reference Manual
• UPS Sage, TeX, Beamer Seminar (Fall 2009)

Related Links

• Technically Speaking
• Beamer Tutorial
• Adders and Boolean Logic
• Abstract Algebra OnLine
• Tom Lehrer 
• Integer Sequence Look-ups
• Atlas of Finite Group Representations (v2.0)
• Hamilton's Quaternion Bridge [Plaque]
• Groups of Small Order, by John Pedersen

Reading Questions

Reading Questions [PDF]

After reading each chapter, send me an email with your answers to each of the five questions. Each answer will be graded as one point, there will be no partial credit. For computational problems, just send an answer, you do not need to justify your work. I will reply with a list of the questions you got credit for. Observe the following to ensure your answers are received properly and graded.

1. Make your subject line exactly, exactly as follows: Chapter X, where X is the number of the chapter. Do not send your answers to my beezer(at)ups(dot)edu address, but do send them to the address announced in class.
2. Put your full name as the first line of the body of your message.
3. Answer the questions in order, beginning each with the problem number.
4. Endeavor to send your answers as straight ASCII text, no HTML if you can help it. Definitely do not send your responses as an attachment. TeX syntax is fine for simple expressions.
5. Answers are due at 6 AM on the morning of the day we begin discussing each new chapter. They will not be accepted late under any circumstances.
6. You can expect a reply the next morning, or within 24 hours at the latest.

Course Projects

Monday, May 2, 2016

• Henry Woody, Polynomial Resultants (License: GFDL) [Presentation]
• Jahrme Risner, Braid Groups [HTML] (License: GFDL) [Presentation]

Tuesday, May 3, 2016

• Hayden Harper, Partial, Total, and Lattice Orders in Group Theory (License: GFDL) [Presentation]
• Zeb Howell, Explorations of the Rubik's Cube Group (License: GFDL) [Presentation]
• Edgar Elliott, Quaternion Algebras (License: GFDL) [Presentation]