MATHS 740 : Complex Analysis
2023 Semester One (1233) (15 POINTS)
Capabilities Developed in this Course
|Capability 1:||Disciplinary Knowledge and Practice|
|Capability 2:||Critical Thinking|
|Capability 3:||Solution Seeking|
|Capability 4:||Communication and Engagement|
|Capability 5:||Independence and Integrity|
- Present precise definitions of a range of important concepts in complex analysis. (Capability 1, 2, 3, 4 and 5)
- Present proofs of important complex analysis theorems. (Capability 1, 2, 3, 4 and 5)
- Identify the truth or otherwise of statements involving the properties referred to above. (Capability 1, 2, 3, 4 and 5)
- Construct examples illustrating that certain statements involving certain complex analysis properties are false. (Capability 1, 2, 3, 4 and 5)
- Apply complex analysis ideas to the applications of Cauchy’s theorem, Cauchy integral theorem, Schwarz’s lemma, Harnack’s inequality, etc., at a depth suitable for a graduate level course. (Capability 1, 2, 3, 4 and 5)
|Final Exam||70%||Individual Examination|
|Assessment Type||Learning Outcome Addressed|
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This course is a standard 15-point course and students are expected to spend 10 hours per week involved in each 15-point course that they are enrolled in. For each week of this course, you can expect 3 hours of lectures, 3 hours of reading and thinking about the content and 4 hours of work on assignments.
- Lectures will be available as recordings where possible.
- The course will not include live online events.
- The activities for the course are scheduled as a standard weekly timetable.
Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).
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The delivery mode may change depending on COVID restrictions. Any changes will be communicated through Canvas.
Student Charter and Responsibilities
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Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.
In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.