37234 Complex Analysis
6cp; 3-4hpw: 2-3hpw (lecture, online), 1hpw (tutorial)Requisite(s): ((35102 Introduction to Analysis and Multivariable Calculus OR 37132 Introduction to Mathematical Analysis and Modelling)) OR ((33230 Mathematics 2 OR 33290 Statistics and Mathematics for Science) AND 35007 Real Analysis)
These requisites may not apply to students in certain courses. See access conditions.
Anti-requisite(s): 35232 Advanced Calculus AND 68038 Advanced Mathematics and Physics
Description
Transform methods such as the Laplace transform are useful in solving differential equations that arise in many areas of applications including signal analysis, mathematical finance and various queuing models in quantitative management. This subject highlights the areas of advanced calculus needed to justify the use of complex integration to invert the Laplace Transform when solving such problems. Topics include line integrals; Green's theorem; functions of a complex variable; analytic functions; Cauchy-Riemann equations; complex integrals; Cauchy's integral theorem; residues and poles; contour integration; and inversion of Laplace Transform.
Typical availability
Autumn semester, City campus
Detailed subject description.