Courses & Units
Algebra & Real Analysis KMA321
Introduction
This third year, first-semester unit continues the development of crucial mathematical ideas, in particular providing core knowledge in abstract algebra and real analysis. The focus is an appreciation of the unity of algebraic structures appearing across many areas of mathematics and developing a deep understanding of the real number system and its completeness property. This unit is compulsory for the Mathematics major of the BSc.
Summary
| Unit name | Algebra & Real Analysis |
|---|---|
| Unit code | KMA321 |
| Credit points | 12.5 |
| College/School | College of Sciences and Engineering School of Natural Sciences |
| Discipline | Mathematics |
| Coordinator | Associate Professor Jeremy Sumner |
| Available as an elective? | Yes |
| Delivered By | University of Tasmania |
Availability
| Location | Study period | Attendance options | Available to | ||
|---|---|---|---|---|---|
| Hobart | Semester 1 | 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 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
- Apply fundamental concepts of abstract algebra and analysis, through formulating simple mathematical proofs.
- Identify and develop solutions to applied problems, using abstract algebra and analysis.
- Apply logic, reasoning and a variety of communication skills to present mathematical arguments in a clear and precise way.
- Synthesise the relationships between fundamental algebraic structures, such as rings, groups and fields, and recognise their appearance in a broad range of mathematical contexts.
- Analyse the conceptual and theoretical fundamentals of sets, sequences, series and functions in the real number system and apply this knowledge to determine their properties, such as compactness, convergence, completeness, and boundedness.
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.
Requisites
Prerequisites
KMA254Mutual Exclusions
You cannot enrol in this unit as well as the following:
KMA251, KMA315 and KMA351Teaching
| Teaching Pattern | 1 x 3-hr lecture weekly, 1 x 1-hr tutorial weekly |
|---|---|
| Assessment | Mid-semester test (20%)|Examination (60%)|Weekly Assignments (20%) |
| 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.