#### Assignments

(in Adobe .pdf)

Assignment 1

Assignment 2

Assignment 3

Assignment 4

Assignment 5

Assignment 6

Assignment 7

Assignment 8

Bonus Assignment

## 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