Courses & Units

Advanced Topics in Analysis KMA454

Introduction

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

This unit offers studies in Advanced Analysis suitable for Honours level. Topics offered may vary from year to year depending on the available staff and students’ interests. Examples of topics that could be considered as suitable may include
(1). The Four Theorems in Functional Analysis: Hanh Banach, Uniform Boundedness, Open Mapping and Closed Graph Theorems;
(2). Theory of Measure and Integration;
(3). Fourier Analysis;
(4). Areas in topology.

This unit is an optional unit for students enrolled in Honours Mathematics, Statistics, or Physics, or by permission of the Unit Coordinator.

Summary

Unit name Advanced Topics in Analysis
Unit code KMA454
Credit points 12.5
College/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics
Coordinator Doctor Michael Brideson
Delivered By University of Tasmania

Availability

Location Study period Attendance options Available to
Hobart Semester 1 On-Campus International Domestic
Hobart Semester 2 On-Campus International Domestic

Key

On-campus
Off-Campus
International students
Domestic students
Note

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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.

Key Dates

Study Period Start date Census date WW date End date
Semester 2 10/7/2023 8/8/2023 28/8/2023 15/10/2023
Semester 1 20/2/2023 21/3/2023 10/4/2023 28/5/2023

* 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 (refer to How do I withdraw from a unit? for more information).

Unit census dates currently displaying for 2023 are indicative and subject to change. Finalised census dates for 2023 will be available from the 1st October 2022. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

Learning Outcomes

  • Explain and reproduce the proofs and implications of major results in mathematical analysis.
  • Identify mathematical structures within theoretical and real-world problems that enable their solution using advanced tools from analysis.
  • Clearly communicate results in analysis to an audience of peers using appropriate language and notation.
  • Conduct a mathematical investigation via guided and independent learning.
Field of Education Commencing Student Contribution 1 Grandfathered Student Contribution 1 Approved Pathway Course Student Contribution 2 Domestic Full Fee
$515.00 $515.00 not applicable $2,522.00

1 Please refer to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on eligibility for FEE-HELP.

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 What is an indicative Fee? to get an indicative course cost.

Teaching

Teaching Pattern

2 x 1-hr lecture/tutorial weekly, 1 x 1-hr tutorial weekly

AssessmentPresentation (10%)|Test 1 (15%)|Test 2 (15%)|Assignment (Multiple) (60%)
TimetableView the lecture timetable | View the full unit timetable

Textbooks

Required

Required readings will be listed in the unit outline prior to the start of classes.

LinksBooktopia textbook finder

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