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Review Session

Tuesday December 2nd in K9509 at 9:30am - 11:20am

MATH 340-3: Algebra II: Rings and Fields, Fall 2008

We meet MWF at 11:30-12:20am in AQ 3003
Office hours are 2-3pm, Tuesdays, Wednesdays, Thursdays, Fridays.
course information sheet (.txt)

Maple Tutorials

Will be held on September 16, October 14, November 4 and 25 at 8:30am and 9:30am in AQ 3148 in PC lab II.

Final Exam

The final exam is on Sunday December 7th at 15:30-18:30.

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.
  • A brief introduction to groups and their connection with rings and fields.

Text

Introduction to Applied Algebraic Systems by Norman Reilly

Handouts (Maple worksheets and notes) posted here.

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

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

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

The linear cyclic code example: BCHcodes.mws
The Cayley Table for 2 by 2 invertible matrics over GF(2): D3CayleyTable.mw

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