#### Assignments

(in Adobe .pdf)

Assignment 1

Assignment 2

Assignment 3

Assignment 4

#### Solutions

(in Adobe .pdf)

1.1 - 1.3

1.4 - 1.7

1.10 - 1.11

2.1 - 2.2

## MATH 340-3: Algebra II: Rings and Fields, Fall 2017

- We meet Mondays at 11:30am-12:20pm in AQ 3003, Wednesdays and Fridays at 11:30-12:20pm in K9500
- The final exam is on Sunday December 10th at 12:00-15:00pm. Room TBA.
- The textbook
*Introduction to Applied Algebraic Systems*by Norman Reilly is available online. - For more info see 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.
- An introduction to ideals and groups.

## Handouts posted here.

Euclidean Algorithm (.pdf) theorem Handout for Monday Sept 11th.

Vector Spaces (.pdf) fact sheet Handout for Friday October 6th.

Extended Euclidean Algorithm in F[x] handout for Friday October 13th.

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