This course is intended both for continuing mathematics students and for other students using mathematics at a high level in theoretical physics, engineering and information technology, and mathematical economics.Topics to be covered include:Complex differentiabilityConformal mappingComplex integrationCauchy integral theoremsTaylor series representationIsolated singularitiesResidue theorem and applications to real integrationTopics chosen from:Argument principleRiemann surfacesRiemann Mapping TheoremTheorems of Picard, Weierstrass and Mittag-LefflerNote: Graduate students attend joint classes with undergraduates but will be assessed separately.
Additional source review: awaiting review. Published wording is shown below.
Some conditions may need additional evidence or clarification. These are prototype interpretations, not ANU decisions or degree-completion checks.
Requisite and Incompatibility
To enrol in this course, you should have an earned mark of 60+ in a course equivalent to MATH2320/MATH6110. Students with a mark of 50-59 in a course equivalent to MATH2320/MATH6110 should consult with the convener regarding the suitability of this course.
You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.
Referenced entries (2)
Links and code mentions retain their original context above. They may describe options, prerequisites or exclusions.
- MATH2320 · 2027 · saved source not linked
- MATH6110 · 2027 · saved source not linked
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
Explain the fundamental concepts of complex analysis and their role in modern mathematics and applied contexts
Demonstrate accurate and efficient use of complex analysis techniques
Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from complex analysis
Apply problem-solving using complex analysis techniques applied to diverse situations in physics, engineering and other mathematical contexts.
Use deep knowledge and understanding of complex analysis to formulate responses to complex concrete and abstract problems.
Published offerings
Future offerings are indicative. Only recognised 2027 sessions with a published class number are offered in the enrolment demo.
| Year | Session | Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|---|---|
| 2027 | Second Semester | 9048 | 26 Jul 2027 | 02 Aug 2027 | 31 Aug 2027 | 29 Oct 2027 | In Person | N/A |
| 2028 | Second Semester | 9973 | 24 Jul 2028 | 31 Jul 2028 | 31 Aug 2028 | 27 Oct 2028 | In Person | N/A |
Complete offering text
ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage. The list of offerings for future years is indicative only. Class summaries, if available, can be accessed by clicking on the View link for the relevant class number. 2027 2028 Second Semester Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary 9048 26 Jul 2027 02 Aug 2027 31 Aug 2027 29 Oct 2027 In Person N/A Second Semester Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary 9973 24 Jul 2028 31 Jul 2028 31 Aug 2028 27 Oct 2028 In Person N/A
Source evidence (1 saved copy)
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assets/Courses/Remained/6000/Complex Analysis/Complex Analysis - ANU.html
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SHA-256: 3b58a3955220a45da928e8f5b12068be8c838e2311beb15e9bae2b1c41918a5b