**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 every lecture in class or by appointment
and starting January 24th, every Monday 2:30-3:30PM.

**Purpose**. I found the following excellent discription of what is
Algebra on
a web page of Texas A&M University: Algebra is one of
fundamental disciplines of mathematics and an algebraic way of thinking is pervasive
in much of mathematics. Many mathematical and physical phenomenon can be
described by one of the many algebraic structures, such as groups, rings,
fields, modules and vectorspaces. Applications are numerous and include
computer graphics (as an application of algebraic geometry) and
coding/cryptography (as an application of number theory).

The goal of this course is to introduce the basic
concepts and facts of modern algebra. This should prepare the student to
be able to manipulate and understand fairly abstract concepts, and provide
the necessary background for a large number of courses in
algebra and applications. We will present some of the most useful ideas of
algebra, which are of great importance in a
large number of subjects within mathematics and outside.

**Course description**. We will concentrate in the basic properties of
groups, and rings. We will cover most of chapters 1-9
(the first half of the book).
We will concentrate on chapters 3,4,8 and 9.

**Assignments**. A list will be posted on a weekly basis.
The HW will be collected in class once a
week on Wedensdays and will be graded. The homework is an important
part of the learning process; you are strongly advised to try all of
the assigned problems;
in case of difficulties you should consult me.

**Text**: "Abstract Algebra" by D. S. Dummit & R. M. Foote. current
edition Published by John Wiley & Sons.
price comparison.

**Test Dates**: Will be anounced.

**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 40% of the grade

- Homework
assignments will be collected every Wedensday, they make up 20% of the
grade.

**Prerequisites**. Ability to read and write proofs
and little linear algebra.

Rami's home page.

Last modified:
January 11^{th}, 2011 |