MTH5115 - Algebraic topology - Monash University

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.

Offerings

S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Professor Jessica Purcell

Unit Coordinator(s)

Professor Jessica Purcell

Notes

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

Learning outcomes

On successful completion of this unit, you should be able to:

Demonstrate profound understanding of the core concepts in algebraic topology.

Formulate complex mathematical arguments in algebraic topology.

Apply sophisticated tools of algebraic topology to tackle new problems.

Communicate difficult mathematical concepts and arguments with clarity.

Apply critical thinking to judge the validity of mathematical reasoning.

Assessment

1 - Continuous assessment

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.

Handbook