Courses & Units

Group Theory and Functional Analysis KMA322

Note:

This unit will be first offered in 2022.

Introduction

This third year, second-semester unit covers some of the fundamental abstract structures, processes and relationships that underpin all of mathematics. The first half of the unit focuses on the central role groups play in modern algebra together with their application to the understanding of structure and symmetry in various scientific contexts. In the second half of the unit, we introduce the topological concepts essential to the study of continuity and convergence in infinite dimensional metric spaces. Applying these ideas, we develop the theory of normed and inner product spaces, and see how they are key to the study of differential and integral equations, quantum mechanics, numerical analysis, and many more areas. This unit is one of the options for students completing the Mathematics major of the BSc.

Summary

Unit name Group Theory and Functional Analysis
Unit code KMA322
Credit points 12.5
Faculty/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics
Coordinator

Jeremy Sumner

Available as student elective? No
Breadth Unit? No

Availability

This unit is currently unavailable.

Note

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* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).

About Census Dates

Learning Outcomes

1

Apply the fundamental concepts of group theory and functional analysis, through formulating mathematical proofs;

2

Identify and develop solutions to applied problems in physics and the other sciences, using group theory and functional analysis;

3

Apply logic, reasoning and a variety of communication skills to present mathematical ideas and results in a clear and precise way;

4

Explain the fundamental connection between groups and symmetries, and the application of group theory to a broad range of mathematical and scientific contexts;

5

Synthesise the necessary topological concepts that enable infinite processes to be carried out such as continuity and convergence;

6

Analyse the structural development of basic topological spaces from  metric to (infinite-dimensional) normed and inner-product spaces, and implement the properties of such spaces in a broad range of contexts.

Fees

Field of Education Commencing Student Contribution 1 Grandfathered Student Contribution 1 Approved Pathway Course Student Contribution 2 Domestic Full Fee
not applicable

1 Please refer here more information on student contribution amounts.
2 Information on eligibility and Approved Pathway courses can be found here
If you have any questions in relation to the fees, please contact UConnect or more information is available on StudyAssist.

Please note: international students should refer to this page to get an indicative course cost.

Requisites

Mutual Exclusions

You cannot enrol in this unit as well as the following:

KMA351

Teaching

Teaching Pattern

1 x 180 minute lecture weekly, 1 x 60 minute tutorial weekly

Assessment

AT1 - Assignments - weekly (20%)

AT2 - Mid-semester test (20%)

AT3 - Exam (3-hours) (60%)

TimetableView the lecture timetable | View the full unit timetable

Textbooks

RequiredNone
LinksBooktopia textbook finder

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