UNSW Handbook Course - Differential Equations

Differential Equations - MATH3541


	Faculty: Faculty of Science
	School: School of Mathematics
	Campus: Kensington Campus
	Career: Undergraduate
	Units of Credit: 6
	Contact Hours per Week: 4
	Enrolment Requirements:
	Prerequisite: 12 units of credit in Level 2 Math courses including MATH2501 or MATH2601and MATH2520 or MATH2620; Excluded: MATH3641.
	Offered: Semester 1 2005
	Fee Band: 2

Description

Initial value problems, linear systems, variation of parameters, applications to physical and biological systems, autonomous nonlinear systems, Lyapunov's method, linear approximations, plane autonomous systems, cycles and bifurcations, the Poincare-Bendixson theorem, introduction to first order PDEs, classification and normal forms for second order equations, the Cauchy-Kowalewski Theorem, Dirichlet and Neumann problems associated with the Laplace operator in two variables.

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