Mathematical Methods for Differential Equations - MATH2120


	Faculty: Faculty of Science
	School: School of Mathematics and Statistics
	Course Outline: http://www.maths.unsw.edu.au/
	Campus: Kensington Campus
	Career: Undergraduate
	Units of Credit: 3
	EFTSL: 0.06250 (more info)
	Indicative Contact Hours per Week: 2.5
	Enrolment Requirements:
	Prerequisite: MATH1231 or MATH1241 or MATH1251
	Excluded: MATH2019, MATH2020, MATH2029, MATH2059, MATH2130
	Fee Band: 5 (more info)
	Further Information: See Class Timetable

Description

Introduction to qualitative and quantitative methods for ordinary and partial differential equations. The following topics are treated with illustrative applications in physics, engineering and biology. Ordinary differential equations: first order, second order with constant coefficients, power series representations, the Frobenius method, the method of variation of parameters. Orthogonal functions and Fourier series. Sturm-Liouville problems. Eigenfunction expansions. Bessel's
equation. Partial differential equations: The method of characteristics. Classification. The method of separation of variables. The heat equation. The wave equation. Laplace's equation. Applications of Bessel functions and Legendre polynomials.