Overview
There are many problems across mathematics, science and engineering that can only be solved through the use of complex numbers, while many other problems involving real numbers are easier to solve after introducing complex values. This topic provides an advanced formal perspective on complex numbers and functions of a complex … For more content click the Read More button below.
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Aims
This topic aims to provide the ability to justify and evaluate the theory of complex analysis. This includes the ability to appraise definitions and theorems, demonstrate key results and evaluate different approaches.
Learning outcomes
On completion of this topic you will be expected to be able to:
1.
Create proofs using concepts from complex analysis
2.
Justify the modern formulation of complex analysis
3.
Evaluate different approaches for solving problems using a complex variable
4.
Evaluate mathematical arguments drawn from complex analysis
Assessments
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Requisites information
Anti-requisites:
Assumed knowledge
Multivariable calculus, such as from New Multivariable Calculus, and integration of functions of a single variable, such as from MATH1122 Mathematics 1B.