2005/06 Undergraduate Module Catalogue

MATH3341 Partial Differential Equations with Applications

10 creditsClass Size: 100

Module manager: Dr E A B Cole

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2005/06

Pre-requisites

MATH1050 and MATH1400 and MATH2420

This module is mutually exclusive with

MATH3414

Module replaces

Not applicable

This module is approved as an Elective

Objectives

On completion of this module, students should be able to:

a) use the method of characteristics to solve first-order hyperbolic equations;
b) classify a second order PDE as elliptic, parabolic or hyperbolic;
c) use the method of separation of variables in various coordinate systems;
have a basic understanding of heat flow and wave motion.

Syllabus

First order equations: linear and quasi-linear; characteristics.
Second-order equations; classification and reduction to standard form; elliptic equations; maximum principles;
Diffusion equation; uniqueness, solutions in similarity variables.
Parabolic equations; separation of variables in different coordinate systems; the wave equation

Teaching methods

Lectures: 20;

Example classes: 6

Private study

2 hours reading per lecture;
20 hours Examples sheets;
14 hours Exam revision

Opportunities for Formative Feedback

Regular Examples sheets

Methods of assessment

100% 2 hours Examination

Reading list

The reading list is available from the Library website

Last updated: 13/05/2005

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