UG Coursework Unit
Level of learning
Extends the concepts developed in Calculus to functions of a complex variable. Topics from complex analysis include derivatives, Cauchy-Riemann equations, integration, power series methods, residues and poles as well as applications of residues, mapping of elementary functions and applications of conformal mapping.
Topic 1: Complex Numbers
Topic 2: Complex Functions
Topic 3: Elementary Functions
Topic 4: Integration
Topic 5: Series
Topic 6: Residues
Topic 7: Applications of Residues 1
Topic 8: Applications of Residues 2
Topic 9: Conformal Mapping
Topic 10: Applications of Conformal Mapping and Poisson Integral Formula
Topic 11: Applications of Conformal Mapping and Schwarz-Christoffel Transformation
Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.
|On completion of this unit, students should be able to:||GA1||GA2||GA3||GA4||GA5||GA6||GA7|
|1||demonstrate a sound knowledge and understanding of complex analysis|
|2||demonstrate a proficiency in applying techniques from complex analysis|
|3||use appropriate techniques from complex analysis to solve 'real world' problems|
|4||communicate mathematical ideas, processes and results effectively at different levels of formality.|
On completion of this unit, students should be able to:
demonstrate a sound knowledge and understanding of complex analysis
demonstrate a proficiency in applying techniques from complex analysis
use appropriate techniques from complex analysis to solve 'real world' problems
communicate mathematical ideas, processes and results effectively at different levels of formality.
- This text is for Complex Analysis: Wunsch, D, 2005, Complex Variables with Applications, 3rd edn, Pearson, Boston, MA. ISBN: ISBN-13: 978-0201756098 ISBN-10: 0201756099.