MATH40280 Algebra for Graduates

Academic Year 2012/2013

This module is a detailed introduction to those topics in algebra needed by all mathematics graduate students. Topics will include: Groups acting on sets, Sylow's theorems, symmetric and alternating groups, rings, ideals, modules, tensor products, the structure of modules over a PID, Galois theory, finite fields, polynomials of low degree, and, time permitting, simple and semi-simple algebras, Wedderburn theory, Jacobson radical.

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Curricular information is subject to change

Learning Outcomes:

The successful student will display an understanding of the concepts and proofs covered, as well the ability to apply concepts and techniques to unseen problems

Student Effort Hours: 
Student Effort Type Hours
Lectures

48
Tutorial

12
Autonomous Student Learning

240
Total

300
 
Requirements, Exclusions and Recommendations

Not applicable to this module.



 
Description % of Final Grade Timing
Examination: final

70

 3 hour End of Trimester Exam
Examination: midterm

30

 Unspecified

Compensation

This module is passable by compensation

Resit Opportunities

End of Semester Exam

Remediation

If you fail this module you may repeat, resit or substitute where permissible