This unit will be offered for the first time in 2022.
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 2021
| Unit name | Algebra & Real Analysis |
|---|---|
| Unit code | KMA321 |
| 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
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.
Special approval is required for enrolment into TNE Program units.
TNE Program units special approval requirements.
* 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).
Learning Outcomes
1 | Apply fundamental concepts of abstract algebra and analysis, through formulating simple mathematical proofs. |
2 | Identify and develop solutions to applied problems, using abstract algebra and analysis. |
3 | Apply logic, reasoning and a variety of communication skills to present mathematical arguments in a clear and precise way. |
4 | Synthesise the relationships between fundamental algebraic structures, such as rings, groups and fields, and recognise their appearance in a broad range of mathematical contexts. |
5 | 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. |
Fees
Requisites
Prerequisites
KMA254
Mutual Exclusions
You cannot enrol in this unit as well as the following:
KMA251, KMA315 and 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%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required | None |
|---|
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.