Abstract algebra II (Math 128B), Spring 2011
Duncan Hall 243, MW noon-1:15pm (Sec. 01, code 23471)
Last update of this page: August 15, 2011
- Final exam, Fri May 20, 9:45am-noon.
- Schedule for the rest of the semester:
- Wed May 11: Outline for PS11 due. (See revised and corrected version here.)
- Mon May 16: PS11 due; last chance to revise
PS09-10; partial answers for PS09-10 given out.
- Tue May 17: Graded PS11's available for
pickup from 10am-2pm, MH419.
- Wed May 18: Final exam review, 4-5:15pm,
room TBA. Last chance to revise PS11; partial answers for PS11
- Fri May 20: Final exam, 9:45-noon, our usual
- If you'd like to do some review/self-study on methods of proof,
this handout on writing proofs. You might also try looking at
Writing, and Proving, by Daepp and Gorkin.
Course greensheet, Information sheet.
Course mechanics: Homework in Math 128B, Writing
Pictures of the Galois correspondence (click to download):
Thanks to Mike Petrillo for those pictures!
Course content: Axioms
for groups and rings, Notes on group
actions, The fundamental theorem of Galois
Also, check out Gallian's
website, with links to useful things like online flash
cards for definitions (hard copy
Topics for exams:
Exam 1, Exam 2, Exam 3, Final exam.
Final from 128A.
Click on the number or "See handout" of any highlighted problem set to
download it. (Files are in PDF format, which can be read by the free
Reading assigned in course:
Contemporary Abstract Algebra, Gallian: Chapters 12-14,
15-18, 19, 20 (through p. 364 only), 21-23, 24, Notes on group actions, 32, The fundamental theorem of Galois theory.
(Review: Chapters 0-11.)
handout: Parts I-II.
Other useful links:
- If you're interested in typesetting math, the system I use to
make my handouts is called LaTeX. If you have a Windows PC, you can
download LaTeX for free at http://www.miktex.org; you will also
need a good text editor, like the shareware program WinEdt. PCTeX also makes a good commercial
version; student prices are $150 for the "Publisher" version, which I
recommend if you have the money, $50 for the "Writer" version, which I
recommend if you don't. If you own a Mac, you can download a complete
system called TeXShop for free.
If you own a Linux computer, you already own a copy of this program,
as it's been a standard Unix program for about 20 years.
LaTeX is well worth learning, if you have some free time; it's used
for manuals and technical reports throughout nerd-dom. For
self-study, I highly recommend Learning
LaTeX (Griffiths and Higham) for beginners, and the
LaTeX book by Leslie Lamport as a reference.
- Free downloads: Adobe
Acrobat (for reading .pdf files)
- Required text:
Contemporary Abstract Algebra, Gallian, 7th ed.
- Optional text:
Writing Proofs, Hsu, downloadable
Outline and final version due once each week, except in exam weeks.
For details, see the handout on homework in Math
Three in-class 50-minute exams, plus 2 hour, 15 min final exam
(Fri May 20, 9:45am-noon).
Final course grades consist of:
|Exams 2 & 3: