MATHS 7100 - Real Analysis
Career: | Postgraduate Coursework |
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Units: | 3 |
Term: | Semester 2 |
Campus: | North Terrace |
Contact: | Up to 4 hours per week |
Available for Study Abroad and Exchange: | Yes |
Available for Non-Award Study: | No |
Assumed Knowledge: | MATHS 1012 |
Assessment: | Ongoing assessment, exam |
Syllabus: |
Much of mathematics relies on our ability to be able to solve equations, if not in explicit exact forms, then at least in being able to establish the existence of solutions. To do this requires a knowledge of so-called "analysis", which in many respects is just Calculus in very general settings. The foundations for this work are commenced in Real Analysis, a course that develops this basic material in a systematic and rigorous manner in the context of real-valued functions of a real variable. Topics covered include: Basic set theory. The real numbers and their basic properties. Sequences: convergence, subsequences, Cauchy sequences. Open, closed, and compact sets of real numbers. Continuous functions and uniform continuity. The Riemann integral. Differentiation and Mean Value theorems. The Fundamental Theorem of Calculus. Series. Power series and Taylor series. Convergence of sequences and series of functions. |
Course Fees
Study Abroad student tuition fees are available here
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.
EFTSL | |||
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0.125 |
Course Outline
A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here
Critical Dates
Term | Last Day to Add Online | Census Date | Last Day to WNF | Last Day to WF |
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Semester 2 | Mon 05/08/2024 | Wed 14/08/2024 | Fri 13/09/2024 | Fri 25/10/2024 |
Class Details
Enrolment Class: Seminar | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
22164 | SE01 | 8 | 8 | 24 Jul - 11 Sep | Wednesday | 10am - 11am | Benham, G10, Benham Lecture Theatre |
2 Oct - 23 Oct | Wednesday | 10am - 11am | Benham, G10, Benham Lecture Theatre | ||||
Related Class: Workshop | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
22160 | WR02 | 2 | 2 | 23 Jul - 10 Sep | Tuesday | 4pm - 5pm | Hughes, 322, Teaching Room |
1 Oct - 22 Oct | Tuesday | 4pm - 5pm | Hughes, 322, Teaching Room | ||||
22161 | WR01 | 2 | 2 | 23 Jul - 10 Sep | Tuesday | 3pm - 4pm | Hughes, 322, Teaching Room |
1 Oct - 22 Oct | Tuesday | 3pm - 4pm | Hughes, 322, Teaching Room |