MAT3031

Ordinary differential equations

(SCI)

Coordinator: Dr Tom Hall

4 points + Two 1-hour lectures and one 1-hour support class per week + First semester + Clayton + Prerequisites: MAT2030 and MAT2040 + Prohibitions: GAS3621 or MAT3026

Synopsis: Existence and uniqueness of solutions for initial-value problems, linear systems of equations, linear independence of solutions. Second-order autonomous systems, stability, phase-plane techniques and periodic solutions. Forced oscillations, resonance and perturbation methods. Introduction to bifurcation theory.

Assessment: Examination (2 hours): 85% + Assignments: 15%