University Course Planner The University of Adelaide Australia

APP MTH 3023 - Partial Differential Equations and Waves III

Career: Undergraduate
Units: 3
Term: Semester 2
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Non-Award Study: Yes
Pre-Requisite: (MATHS 2101 and MATHS 2102) or (MATHS 2201 and MATHS 2202)
Assumed Knowledge: MATHS 2104
Incompatible: APP MTH 3000, APP MTH 3017
Assessment: Ongoing assessment 30%, Exam 70%
Syllabus:

Differential equation models describe a wide range of complex problems in biology, engineering, physical sciences, economics and finance. This course focusses on partial differential equation (PDE) models, which will be developed in the context of modelling heat and mass transport and, in particular, wave phenomena, such as sound and water waves. This course develops students' skills in the formulation, solution, understanding and interpretation of PDE models. As well as developing analytic solutions, this course establishes general structures, characterisations, and numerical solutions of PDEs. In particular, computational methods using finite differences are implemented and analysed. Topics covered are: Formulation of PDEs using conservation laws: heat/mass/ wave energy transport; waves on strings and membranes; sound waves; Euler equations and velocity potential for water waves. The structure of solutions to PDEs: separation of variables (space/space, space/time); boundary value problems; SturmLouiville theory; method of characteristics; and classification of PDEs via coordinate transformation. Complex-variable form of waves. Wave dispersion. Group velocity. Finite difference solution of PDEs and BVPs: implicit and explicit methods; programming; consistency, stability and convergence; numerical differentiation.

Course Fees

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  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,131 Band 2 $1,131 select program select program


Course Outline

A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here


Critical Dates

Term Last Day to Add Online Census Date Last Day to WNF Last Day to WF
Semester 2 Mon 07/08/2017 Thu 31/08/2017 Fri 15/09/2017 Fri 27/10/2017


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
23468 LE01 50 10 25 Jul - 12 Sep Tuesday 11am - 12pm Mawson, G19, Mawson Lecture Theatre
26 Jul - 13 Sep Wednesday 2pm - 3pm Johnson, G29, Rennie Lecture Theatre
28 Jul - 15 Sep Friday 9am - 10am Medical School Nth, 103N, Florey Lecture Theatre
3 Oct - 24 Oct Tuesday 11am - 12pm Mawson, G19, Mawson Lecture Theatre
4 Oct - 25 Oct Wednesday 2pm - 3pm Johnson, G29, Rennie Lecture Theatre
6 Oct - 27 Oct Friday 9am - 10am Medical School Nth, 103N, Florey Lecture Theatre