Semester 1 Assessment, 2022
School of Mathematics and Statistics
MAST30021 Complex Analysis
Reading time: 30 minutes | Writing time: 3 hours | Upload time: 30 minutes
This exam consists of 3 pages (including this page) with 8 questions and 80 total marks
Question 8 (12 marks)
Question with two optional parts.
This question has two parts, A and B, one with an emphasis on computation, the other with
an emphasis on proofs. You are expected to address precisely one of these two parts according
to your own preferences. If you answer both parts only one of your answers will be marked at
the discretion of the examiners.
MAST30021 Complex Analysis代写: Tables
Overview of applications of the Laplace equation
Inviscid incompressible fluid flows
Electrostatics and magnetism in vacuum
Gravitational problems in vacuum
Steady-state heat flows
Steady-state diffusion processes
You are expected to provide a rigorous mathematical proof in both parts based on the use of the
Triangle Inequality. It is highly recommended to make a sketch of the situation rst.
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可重点复习以下areas
Exercises for Week 7: Calculation of Residues
Exercises for Week 8: Evaluation of integrals via the residue theorem
Exercises for Week 9: Indented contours; Rouche’s theorem
Exercises for Week 10: Logarithm and integration.
Exercises for Week 11: Complex series, integrals and analytic continuation代写.
Exercises for Week 12: Problems related to the gamma function and harmonic functions代写