**Instructor**: Rami Grossberg

**Office**: WEH 7204

**Phone**: x8482 (268-8482 from external lines), messages at
x2545

**Email**: Rami@cmu.edu

**URL**:
www.math.cmu.edu/~rami

**Office Hours:** Immediately after class or by appointment.

**Purpose**: The aim of this course is to provide a basic graduate
level introduction to algebra. Sophisticated algebraic tools are
fundamental not only in algebraic geometry and number theory but also in
topology, mathematical physics, combinatorics and theoretical computer
science.

**Course description**:
I will follow quite closely Hungerford's text,
covering most of the first six chapters; and if time permits,
I will cover one or more of the following additional topics: elementary commutative algebra
(from Chapter VIII), some basic facts concerning matroids (combinatorial
geometry) and fundamentals of algebraic topology.

This course is a graduate course, while the prerequisits are minimal the
pace will be fast and I intend to cover large amount of material
quickly. If you are interested in a more relaxed introduction to algebra,
I suggest taking another related course like
Linear Algebra II or Field Theory instead.

There will be an emphasis on doing many exercises.
Every week I will assign fairly large number of homework
exercises which are due for the next Wedensday.
Due to lack of a TA and a grader, homework will be collected on a random basis
but will be graded carefully.
Since I consider ability to prove (easy) theorems essential in this course,
it will be impossible to pass the course without doing most of the
homework
assignments! A significant portion of the tests will consists of
problems
similar to homework assignments.

**Text**:"Algebra" by Thomas W. Hungerford. Published by
Springer-Verlag's Graduate Text books series (GTM 73)
price comparison.

**Date for the midterms:** Will be announced.

**Evaluation**: There will be two one-hour tests (in class), weekly homework
assignments, and a three hour final. These will be weighted as
follows:

- Each of the two midterm tests will make up 20% of the grade

- The final will make up 50% of the grade

- Homework
assignments should be ready for the Wedensday lecture, they will be collected
randomly. They make up 10% of the course
grade.

**Prerequisites**: Algebraic Structures (21-373) and Linear
Algebra I (21-341) or equivalent.

Rami's home page.

Last modified:
August 28 ^{th}, 2011 |