#### Assignments

Assignment 1 (.pdf)

Assignment 2 (.pdf)

Assignment 3 (.pdf)

Assignment 4 (.pdf)

Assignment 5 (.pdf)

Assignment 6 (.pdf)

Assignment 7 (.pdf)

Assignment 8 (.pdf)

## MATH 340-3: Algebra II: Rings and Fields, Fall 2007

Meet, MWF, 10:30-11:20am, AQ 3159

### Exam and review session

The final exam is on Wednesday December 12th at 12:00-15:00 in WMC 3260. It is closed book.

Tuesday December 4th. Suling will give a tutorial on solutions to assignment #7 at 9:00am in K9509.

Monday December 10th. I will give a tutorial on solutions to assignment #8 at 1:00pm in AQ4150.

### Bonus assignment

There is bonus assignment (.pdf).

You need the handout on cyclotomic polynomials (.pdf) to answer one of the questions.

### 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

### course information sheet (.txt)

#### Maple Worksheets

A Maple worksheet with examples showing how to use Maple for MATH 340

MapleNotes.mws (in classic format)

MapleNotes.mw (in standard format)

Maple worksheet handouts.

The linear cyclic code example : BCHcodes.mws

The GF(9) isomorphism example : GF9Isomorphism.mw

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