Advanced Topics in Geometry and Topology (MAST90124)

Graduate courseworkPoints: 12.5Not available in 2024

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Overview

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This subject will present an introduction to an advanced topic in geometry or topology serving to prepare students for a PhD in mathematics. The specific content will vary depending on the subject coordinator. 

Intended learning outcomes

On completion of this subject, the student should be able to:

 

  • Describe the main results of the topic covered.
  • Apply independently the methods used in the topic prove minor results.
  • Explain the core methods of proof used in the topic.
  • Understand and explain examples applying the main results of the topic.

Generic skills

  • Problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies.
  • Analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis.
  • Presentation skills: the ability to present mathematics both orally and in writing.

Last updated: 8 November 2024

Eligibility and requirements

Prerequisites

One of

Code Name Teaching period Credit Points
MAST90023 Algebraic Topology
Semester 1 (On Campus - Parkville)
 12.5
MAST90029 Differential Topology
Not available in 2024
 12.5
MAST90056 Riemann Surfaces and Complex Analysis
Not available in 2024
 12.5

Corequisites

None

Non-allowed subjects

None

Inherent requirements (core participation requirements)

The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.

Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home

Last updated: 8 November 2024

Assessment

DescriptionTimingPercentage

Up to 50 pages of written assignments over the course of the semester

  • 50 pages
Throughout the teaching period50%

A written examination

  • 3 hours
During the examination period50%

Last updated: 8 November 2024

Dates & times

Not available in 2024

Last updated: 8 November 2024

Further information

  • Texts

    Prescribed texts

    There are no specifically prescribed or recommended texts for this subject.

  • Available to Study Abroad and/or Study Exchange Students

    This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.

Last updated: 8 November 2024