MATH6213
Complex Analysis
- Credit
- 6 units
- Catalogue year
- 2027
- Recorded offerings
- Second Semester
Course information
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.
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.
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.
Saved ANU Programs & Courses information, 2027. Future offerings are indicative. Checks use the saved requirements and your fictional academic record.
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