Office hours - Review session - Final exam.

• Assignment solutions given Tuesday, December 7th, 12:30-14:00 in K9509
• Prof office hour, Wednesday December 8th, 2-3pm in K10501
• Final exam, Thursday December 9th, 12pm-3pm in AQ 3153
• Exam info sheet

MATH 340-3: Algebra II: Rings and Fields, Fall 2010

• We meet Mondays, Wednesdays and Fridays at 11:30-12:20am in WMC 2202
• The final exam is on Thursday December 9th at 12:00-15:00.
• The textbook Introduction to Applied Algebraic Systems by Norman Reilly is available at the bookstore.
• For more info I will put the course information sheet here.

Content

• Proving theorems about the integers, the Euclidean algorithm and modular arithmetic.
• Rings and fields, polynomial rings, the field of complex numbers.
• Finite fields, their construction and application to error correcting codes.
• Using the computer algebra system Maple for computations in algebra.
• An introduction to groups and their connection with rings and fields.

Handouts (Maple worksheets and notes) posted here.

A Maple worksheet with examples showing how to use Maple for MATH 340
MapleNotes.mws (in classic format)
MapleNotes.mw (in standard format)
Finite Field with 4 Elements (in classic format)

The GF(9) isomorphism example: GF9Isomorphism.mw   GFqPhi.pdf

The linear cyclic code example: BCHcodes.mws   BCHcodes.pdf

Notes on complex numbers, the fundamental theorem of algebra, and roots of unity: ComplexNumbers.pdf

The Cayley Table for 2 by 2 invertible matrics over GF(2): D3CayleyTable.mw

p. (778) 782-4279 · f. (778) 782-4947 · Shrum Science K 10501 · Department of Mathematics · 8888 University Drive · Burnaby · BC · V5A 1S6 · Canada