Mathematical Sciences Institute · ANU College of Systems and Society
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 differentiability - Conformal mapping - Complex integration - Cauchy integral theorems - Taylor series representation - Isolated singularities - Residue theorem and applications to real integration Topics chosen from: - Argument principle - Riemann surfaces - Riemann Mapping Theorem - Theorems of Picard, Weierstrass and Mittag-Leffler Note: Graduate students attend joint classes with undergraduates but will be assessed separately.
Regular written assignments
Learning outcomes 1, 2, 3, 4
Final exam
Learning outcomes 1, 2, 3, 4
Written reportRegardless of performance on other assessment items, a minimum score of 35% on the written report is required to pass the course. (This is known as a 'course hurdle'.)
Learning outcomes 1, 2, 3, 4, 5
The expected workload will consist of approximately 130 hours throughout the semester including: • Face-to face component which will consist of 3x1 hours lecture per week for 12 weeks (36 hours) and 10x1 hours of workshops (10 hours) throughout the semester. • Approximately 80-90 hours of self-directed study which will include preparation for lectures, workshops, assignments, and exams.
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