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
Key Dates
| Study Period | Start date | Census date | WW date | End date |
|---|---|---|---|---|
| Semester 2 | 11/7/2022 | 9/8/2022 | 29/8/2022 | 16/10/2022 |
| Semester 1 | 21/2/2022 | 22/3/2022 | 11/4/2022 | 29/5/2022 |
* 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 2022 are indicative and subject to change. Finalised census dates for 2022 will be available from the 1st October 2021. Note census date cutoff is 11.59pm AEST (AEDT during October to March).
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.
Fee Information
| Field of Education | Commencing Student Contribution 1,3 | Grandfathered Student Contribution 1,3 | Approved Pathway Course Student Contribution 2,3 | Domestic Full Fee 4 |
|---|---|---|---|---|
| 010101 | $498.00 | $498.00 | not applicable | $2,402.00 |
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 |
|---|---|
| Assessment | Presentation (10%)|Test 1 (15%)|Test 2 (15%)|Assignment (Multiple) (60%) |
| Timetable | View 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. |
Links | Booktopia textbook finder |
|---|
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.