MATH428-24S1 (C) Semester One 2024

Topology

15 points

Details:
Start Date: Monday, 19 February 2024
End Date: Sunday, 23 June 2024
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 3 March 2024
  • Without academic penalty (including no fee refund): Sunday, 12 May 2024

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 an introduction to algebraic topology.

Syllabus/Topics
The topics will cover: Metric and topological spaces; continuous functions and
homeomorphisms; compact and connected spaces; quotient and product topology;
surfaces, manifolds and knots; homotopy and basic algebraic topology (the fundamental
group) along with applications.

Academic integrity
It is the responsibility of each student to be familiar with the definitions, policies and procedures
concerning academic misconduct/dishonest behaviour. Instances of academic misconduct will be
dealt with in a serious and appropriate manner.

Prerequisites

Subject to approval of the Head of School.

Timetable 2024

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Wednesday 13:00 - 14:00 Jack Erskine 505
19 Feb - 31 Mar
22 Apr - 2 Jun
Lecture B
Activity Day Time Location Weeks
01 Friday 11:00 - 12:00 Jack Erskine 505
19 Feb - 24 Mar
22 Apr - 2 Jun
Tutorial A
Activity Day Time Location Weeks
01 Friday 12:00 - 13:00 Jack Erskine 505
19 Feb - 24 Mar
22 Apr - 2 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Wednesday 13:00 - 15:00 Jack Erskine 446
3 Jun - 9 Jun

Course Coordinator

Mike Steel

Lecturer

Gunter Steinke

Assessment

Assessment Due Date Percentage 
Assignment 1 17%
Assignment 2 17%
Assignment 3 17%
Final Test 49%


Three assignments (each worth 17%) and a final test (2 hours) worth 49%.

Late work and missed test
In rare situations, you may miss a test, or be unable to submit work to deadlines. In
these situations, please inform your course coordinator within 48 hours of the test date
or deadline. Late work may not be accepted.

Textbooks / Resources

Recommended Reading

Armstrong, M. A; Basic topology ; Springer-Verlag, 1983.

Notes

Office Hours | Wā Tari
By appointment

Indicative Fees

Domestic fee $1,074.00

* 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 MATH428 Occurrences

  • MATH428-24S1 (C) Semester One 2024