MTH3022

Dynamical systems and complex analysis

(SCI)

Dr Tom Hall

6 points + Three 1-hour lectures and an average of one 1-hour computer laboratory and one 1-hour support class per week + Clayton + Second semester + Prerequisites: MTH2010 or MTH2111 or equaivalent + Prohibitions: MAT3011 or MAT3031

Synopsis: Phase-plane analysis of coupled non-linear differential equations; classification of stationary points. Complex numbers and functions; domains and curves in the complex plane; differentiation; integration; Cauchy's integral theorem and its consequences; Taylor and Laurent series; Laplace transforms; applications; use of a computer algebra package.

Assessment: Examination (3 hours): 50% + Assignments and tests: 40% + Laboratory work: 10%