MATH411-20S2 (C) Semester Two 2020

Topics in Algebra

15 points

Details:
Start Date: Monday, 13 July 2020
End Date: Sunday, 8 November 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 24 July 2020
  • Without academic penalty (including no fee refund): Friday, 25 September 2020

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.

Learning Outcomes

  • Familiarity with basic concepts from group theory and Galois theory;
  • developed problem solving skills both as part of a team and as an individual;
  • developed written and oral communication skills, emphasising the ability to explain what the
    mathematics means.

Pre-requisites

Subject to approval of the Head of School.

Course Coordinator / Lecturer

Felipe Voloch

Lecturer

Brendan Creutz

Assessment

Homework 45%
Final Examination 40%
Presentation 15%

Indicative Fees

Domestic fee $989.00

* 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

  • MATH411-20S2 (C) Semester Two 2020