EPGY Modern Algebra
  • Groups, Subgroups, and Quotient Groups
  • Symmetry Groups in Two and Three Dimensions
  • Polya-Burnside Method
  • Rings, Subrings, Ideals, and Quotient Rings
  • The Morphism Theorem for Groups and Rings
  • Polynomial and Euclidean Rings
  • Fields, Field Extensions, and Galois Fields
  • Geometrical Constructions
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Textbook: Modern Algebra with Applications, by Gilbert.  ISBN# 0471235431
This course presents the theory of abstract algebra, with particular emphasis on applications involving symmetry, matrix and crystallographic groups, and constructibility. Prerequisites: M51A and M52B or equivalent. (3 units).

Lectures

A sample lecture screen from Modern Algebra.
The course is divided into lessons, most of which begin with a multimedia lecture.

View detailed lesson contents.

Exercises and Homework

After each lecture students are given problems to work, some of which are to be written up and handed in. Each week students send their exercises to the instructor to be graded. The instructor keeps detailed student records and identifies special problem areas.

Exams

The course has a written "take-home" final examination, which is mailed to the course tutor for grading. The course grade is largely based on the final exam grade.

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