Science, Engineering and Technology

KMA354

2012  KMA354  Partial Differential Equations, Applications and Methods 3

Unit Level: Advanced

Available as a Student Elective: Yes

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OFFERINGS

Unit Sem 1 Sem 2 Full Yr Spring Summer Winter KMA354 H Key Semester Dates Semester Campus Attendance Note Start Date Census Date Final WW Date* End Date Sem 2 H On Campus 16-JUL-2012 10-AUG-2012 03-SEP-2012 20-OCT-2012 *The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see Withdrawal dates explained for more information). This unit can be taken in other courses About Census Dates

DESCRIPTION

Introduction to partial differential equations that arise in applied mathematics, physics, biological science, commerce and engineering. First-order PDEs. The linear wave equation, characteristics. D'Alembert's solution. Traffic flow models. Wave breaking and shocks. Second-order PDEs. Classification of PDEs and characteristic curves. Parabolic, elliptic and hyperbolic equations. Initial boundary value problems. Separation of variables for the heat equation, Laplace's equation and the wave equation. Orthogonal functions and an introduction to Sturm-Liouville theory. Fundamental solutions and Green's functions.

WEIGHT:  12.5%

ASSESSMENT: 2-hr exam (70%), assignments (20%) and project (10%)

TEACHING PATTERN: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly

REQUISITE INFO

Prereq

KMA252 or KME271

TEXTS
Information about any textbook requirements for Semester (Sem 2) will be available from mid April 2012

STAFF: Dr M Brideson

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