# Math 31, Summer 2005

# Topics in Algebra

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Instructor:
Dan Rockmore
Professor (Mathematics and Computer Science)

Organization: Moore 150

Period 11(MWF 11:05--12:20; x-hour T 12:00-12:50)

Other materials:

On-line resources provided by J. Gallian

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## Course description:

This is a course in what is often called "modern algebra" - the development of the notions of groups, rings, and fields, each of which is some way or another a generalization of our familiar integers. The course will be both an investigation of the theory as well as the ** many ** applications, especially as they arise in signal and image processing. Examples of applications include digital cryptography and error correction.

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** FIRST CLASS: Monday, June 27 **

## Requirements:

(1) Students are expected to attend class and participate.

(2) There will be regular homework that will be graded.

(3) Students will give a short presentation on a topic of their choice (many suggestions from the text book).

(4) There will be a final take-home exam.

**Grading: **

HW: 40%

Presentation: 10%

Participation: 10%

Final: 40%

Office: 206 Sudikoff

E-mail:
rockmore AT cs DOT dartmouth DOT edu

Phone: 603-646-3260

** Office hours: **

TBA and by appointment.

Dartmouth College

Dartmouth Mathematics

Mathematics People