MTH3066

Differential equations

(SCI)

Dr Alistair Carr

6 points + First semester + 3 hours lectures and 1 hour tutorial, plus 8 hours private study per week + Gippsland and OCDL + Prerequisites: MAT1085; MAT2030 or MTH2010; MTH2032 or the pair MAT2047, MAT2077 + Prohibitions: MAA3021, MAA3072, MAT3022, MAT3031, MAT3026, GAS3621

Synopsis: The subject covers several exact and approximate methods for solving ordinary and partial differential equations, with a particular focus on types of equations having physical applications. Topics include: phase plane analysis for critical points, linearisation of a nonlinear system, Green's functions, the Frobenius method, Bessel functions and Legendre polynomials, Sturm-Liouville theory, standard linear numerical methods for boundary value problems in two variables.

Assessment: Examination (open book, 3 hours): 70% + Assignments: 30%