MTH5115 - Algebraic topology - Monash University

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Overview

This unit develops the main tools from algebra that are used to study and distinguish spaces. These tools are used in a variety of fields, from mathematics to theoretical physics to computer science. Algebraic topology relates to concrete problems, and sophisticated tools will be presented to tackle such problems. The … For more content click the Read More button below.

This unit develops the main tools from algebra that are used to study and distinguish spaces. These tools are used in a variety of fields, from mathematics to theoretical physics to computer science. Algebraic topology relates to concrete problems, and sophisticated tools will be presented to tackle such problems. The core topics covered in the unit include the fundamental group and covering spaces, and homology. Cohomology and/or homotopy theory will also be studied.

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Jessica Purcell

Unit Coordinator(s)

Associate Professor Jessica Purcell

Notes

This unit is offered in alternate years commencing Semester 2, 2019

Assessment summary

Examination (3 hours and 10 minutes): 60% (Hurdle)

Continuous assessment: 40%

Hurdle requirement: If you would otherwise have passed the unit but who do not achieve at least 45% of the marks available for the end-of-semester examination will receive a Hurdle Fail (NH) grade and a mark of 45 on your transcript.

This unit is offered at both Level 4 and Level 5, differentiated by the level of the assessment. If you are enrolled in MTH5115 you will be expected to demonstrate a higher level of learning in this subject than those enrolled in MTH4115. The assignments and exam in this unit will use some common items from the MTH4115 assessment tasks, in combination with several higher level questions and tasks.

Workload requirements

Workload

Availability in areas of study

Master of Mathematics