MAT3011

Complex analysis with applications

Coordinator: Dr Robert Griffiths

4 points
* Two 1-hour lectures per week
* First semester
* Clayton
* Prerequisites: MAT2030 or MAT2051
* Prohibitions: GAS3613, MAT3016

Objectives On the completion of this subject students will be familiar with the basic concepts of complex analysis; understand Cauchy's integral theorem and its consequences; be able to work with Taylor and Laurent series; appreciate the importance of complex analysis for other mathematical subjects, as well as for physics and engineering, through seeing applications of the theory.

Synopsis Complex numbers and functions, domains and curves in the complex plane, differentiation, integration, Cauchy's integral theorem and its consequences. Taylor and Laurent series. Conformal mappings. Applications.

Assessment Examination (2 hours): 80%
* Assignments: 20%

Recommended texts

Kreyszig E Advanced engineering mathematics 7th edn, Wiley, 1993
Stewart I and Tall D Complex analysis CUP, 1983