MATH428-19S2 (C) Semester Two 2019

Topology

15 points
15 Jul 2019 - 10 Nov 2019

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

Pre-requisites

Subject to approval of the Head of School.

Timetable 2019

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 11:00 - 12:00 Jack Erskine 505 15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture B
Activity Day Time Location Weeks
01 Friday 12:00 - 13:00 Jack Erskine 505 15 Jul - 25 Aug
9 Sep - 20 Oct

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 $969.00

* 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

  • MATH428-19S2 (C) Semester Two 2019