UNSW Handbook Course - Mathematical Methods for Differential Equations

Mathematical Methods for Differential Equations - MATH2120

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Faculty: Faculty of Science

School: School of Mathematics

Campus: Kensington Campus

Career: Undergraduate

Units of Credit: 3

Contact Hours per Week: 2.5

Enrolment Requirements:

Prerequisite: MATH1231 or MATH1241 or MATH1251; Excluded: MATH2019, MATH2029, MATH2059, MATH2130.

Offered:

Semester 1 2005

Semester 2 2005

Fee Band: 2

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.

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