Algebraic Topology

Undergraduate | 2026

Course page banner
area/catalogue icon
Area/Catalogue
MATH 4010
Course ID icon
Course ID
200051
Level of study
Level of study
Undergraduate
Unit value icon
Unit value
6
Course coordinator
Course coordinator
Michael Albanese
Course level icon
Course level
4
Work Integrated Learning course
Work Integrated Learning course
No
Study abroad and student exchange icon
Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
Yes
University-wide elective icon
University-wide elective course
Yes
Single course enrollment
Single course enrolment
Yes

Course overview

The study and classification of topological spaces via their invariant algebraic structures.

Course learning outcomes

  • Demonstrate an understanding of the fundamental group, homology groups, and covering spaces
  • Calculate fundamental groups
  • Produce sophisticated arguments and proofs, at the appropriate level
  • Communicate results clearly

Availability

Census date Icon
Census date
Fri 27/03/2026
Enrol by date
Enrol by date
Fri 13/03/2026
Last day to W
Last day to W
Fri 10/04/2026
Last day to WF
Last day to WF
Fri 08/05/2026

Class details

Adelaide City Campus East

Class number
Class number 22010
Section
Section FR01
Size
Size 10
Available
Available 10
Dates Days Time Campus Location Instructor
27 Feb - 17 Apr Friday 11:10am - 1pm Adelaide City Campus East Engin and Maths Sciences, 212
8 May - 5 Jun Friday 11:10am - 1pm Adelaide City Campus East Engin and Maths Sciences, 212

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A

Fee calculator

To display course fees, please select your status and program below:

We’re updating this Fee Calculator. It currently shows fees for programs only. Please check the relevant program for full fee details.

Study Abroad student tuition fees are available here.

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.

The Student Contribution amount displayed below is for students commencing a new program from 2021 onwards. If you are continuing in a program you commenced prior to 1 January 2021, or are commencing an Honours degree relating to an undergraduate degree you commenced prior to 1 January 2021, you may be charged a different Student Contribution amount from the amount displayed below. Please check the Student Contribution bands for continuing students here. If you are an international student, or a domestic student studying in a full fee paying place, and are continuing study that you commenced in 2025 or earlier, your fees will be available here before enrolments open for 2026.

Degree list
The following degrees include this course