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Unit of study_
MATH4079: Complex Analysis
2027 unit information
The unit will begin with a revision of properties of complex numbers and complex functions. This will be followed by material on conformal mappings, Riemann surfaces, complex integration, entire and analytic functions, the Riemann mapping theorem, analytic continuation, and Gamma and Zeta functions. Finally, special topics chosen by the lecturer will be presented, which may include elliptic functions, normal families, Julia sets, functions of several complex variables, or complex manifolds.
Unit details and rules
Managing faculty or University school:
Science
| Study level | Undergraduate |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
|
Prerequisites:
?
|
(A mark of 65 or above in 12 credit points of MATH2XXX) or (12 credit points of MATH3XXX) |
|---|---|
|
Corequisites:
?
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None |
| Prohibitions:
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MATH3979 or MATH3964 |
| Assumed knowledge:
?
|
Good knowledge of analysis of functions of one real variable, working knowledge of complex numbers, including their topology, for example MATH2X23 or MATH2962 or MATH3068 |
At the completion of this unit, you should be able to:
- LO1. demonstrate a conceptual understanding of limit, continuity, differentiation, and integration as well as a thorough background in variety of techniques and applications of complex analysis
- LO2. assess problems in the framework of complex analysis, to choose among several potentially appropriate mathematical methods of solution, and persist in the face of difficulty
- LO3. present complete and mathematically rigorous solutions for problems in complex analysis that include appropriate justification for their reasoning
- LO4. recognise problems in mathematics, science, engineering and real life that are amenable to complex analysis, and to formulate models for such problems and apply the techniques of complex analysis in solving them
Unit availability
This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.
The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.
| Session | MoA ? | Location | Outline ? |
|---|---|---|---|
|
Semester 1 2027
|
Normal day | Camperdown/Darlington, Sydney |
Outline unavailable
|
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Modes of attendance (MoA)
This refers to the Mode of attendance (MoA) for the unit as it appears when you’re selecting your units in Sydney Student. Find more information about modes of attendance on our website.
Disclaimer
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