MATH411-17S1 (C) Semester One 2017

Topics in Algebra

15 points

Details:
Start Date: Monday, 20 February 2017
End Date: Sunday, 25 June 2017
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 3 March 2017
  • Without academic penalty (including no fee refund): Friday, 19 May 2017

Description

Topics in Algebra

The focus of this course is Galois theory, which provides a beautiful connection between field theory and group theory. It can be used to reduce certain problems about fields to group theory which is, in some sense, simpler and better understood.

Topics in the theory of finite groups will be covered as needed. Goals of the course include proofs of the Abel-Ruini Theorem (concerning insolubility of a general quintic equation by radicals) and the Fundamental Theorem of Algebra. Useful prerequisites are MATH240 or MATH321, and ideally both.


For a full list of Honours courses, please refer to the School of Mathematics and Statistics Honours Booklet Mathematics and Statistics Honours Booklet

Learning Outcomes

- Understand and be able to apply results from group theory and Galois theory.

Prerequisites

Subject to approval of the Head of School.

Course Coordinator

Brendan Creutz

Assessment

Assessment Due Date Percentage 
Homework Assignments 45%
Presentation 15%
Final Test 40%

Indicative Fees

Domestic fee $932.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH411 Occurrences

  • MATH411-17S1 (C) Semester One 2017
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