Courses & Units

Analysis 3B KMA352

Hobart

Introduction

Aims at providing a solid foundation in the basic concepts, principles and methods of functional analysis, a study which is mainly concerned with vector spaces and operators acting upon them. The principles learnt from basic calculus and linear algebra will be developed further to the more general setting of abstract infinite-dimensional vector spaces. This provides powerful tools in handling problems in applied mathematics and theoretical physics; also helps the understanding of the development of mathematical theories such as partial differential equations and the theory of operators.

The first part of the course is devoted to the theory of metric spaces, the general setting in which discussions of central concepts such as continuity and convergence can be carried out. This is followed by a detailed study of normed and Banach spaces, inner-product sapaces and Hilbert spaces, with the emphasis on abstract reasoning and proof. The theory of operators forms an important part of the unit; it opens up many avenues of application in a variety of fields (such as quantum mechanics) for further study.

Summary

Unit name Analysis 3B
Unit code KMA352
Credit points 12.5
Faculty/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics
Teaching staff

Dr K Dharmadasa

Level Advanced
Available as student elective? Yes
Breadth Unit? No

Availability

Location Study period Attendance options Available to
Hobart Semester 2 On-Campus International Domestic

Key

On-campus
Off-Campus
International students
Domestic students
Note

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Key Dates

Study Period Start date Census date WW date End date
Semester 2 13/7/2020 10/8/2020 18/10/2020 18/10/2020

* 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

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

Prerequisites

Teaching

Teaching Pattern

3x1-hr lectures, 1-hr tutorial weekly

Assessment

3-hr exam (50%), assignments and class tests (50%)

TimetableView the lecture timetable | View the full unit timetable

Textbooks

Required

Information about any textbook requirements will be available from mid November.

LinksBooktopia textbook finder

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