MATH428-18S2 (C) Semester Two 2018

Topology

0.1250 EFTS
16 Jul 2018 - 18 Nov 2018

Description

Topology

Topology, colloquially known as “rubber-sheet geometry”, is the study of continuity in an abstract
setting. Topological notions underpin, or are used in, many areas of mathematics, both pure and applied. In this course, we study some of the main concepts of point set topology, and provide a
brief introduction to algebraic topology.

The topics will cover: Metric and topological spaces; continuous functions and homeomorphism; compact and connected spaces; quotient and product topology; surfaces, manifolds and knots; homotopy, the fundamental group and applications.

Learning Outcomes

University Graduate Attributes

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

Critically competent in a core academic discipline of their award

Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

Pre-requisites

Subject to approval of the Head of School.

Course Coordinator

Mike Steel

Assessment

Assessment Due Date Percentage 
Assignments (x2) 40%
Final Test 60%


Assessment:
Two assignments, each worth 20%
Final exam, worth 60%

Textbooks

Recommended texts:
Topology, Klaus Jänich, Springer-Verlag, 1984
Basic Topology, M. A. Armstrong. Springer, 1983.
Renzo’s Math490, .pdf available online.

Indicative Fees

Domestic fee $950.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All MATH428 Occurrences

  • MATH428-18S2 (C) Semester Two 2018