Not currently available in 2020

Unit description

Introduces the concept of topology and its applications. The course includes topological spaces and related constructions and properties, connectedness and its applications, as well as compactness and related properties.

Unit content

Complex Analysis (Topics 1 to 5)
1. Theory of sets – sets and operations
2. Theory of sets – functions and relations
3. Metric spaces – metric spaces and continuity
4. Metric spaces – limits, open and closed sets, subspaces and equivalence
5. Topological spaces – spaces and functions
6. Topological spaces – subspaces, products, identification topologies
7. Connectedness – introduction and applications
8. Connectedness – components and local connectedness, path-connected spaces
9. Compactness – compact topological spaces, subsets and products
10. Compactness – compact metric spaces, Bolzano-Weierstrass property, surfaces by identification

Learning outcomes

Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.

Learning outcomes and graduate attributes

Teaching and assessment


Intensive offerings may or may not be scheduled in every session. Please refer to the timetable for further details.

Southern Cross University employs different teaching methods within units to provide students with the flexibility to choose the mode of learning that best suits them. SCU academics strive to use the latest approaches and, as a result, the learning modes and materials may change. The most current information regarding a unit will be provided to enrolled students at the beginning of the study session.

Fee information


Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Commencing 2020 Commonwealth Supported only. Student contribution band: 2

Fee paying courses
For POSTGRADUATE or UNDERGRADUATE full fee paying courses please check Domestic Postgraduate Fees OR Domestic Undergraduate Fees


Please check the international course and fee list to determine the relevant fees.