University Course Planner The University of Adelaide Australia

APP MTH 3023 - Partial Differential Equations and Waves III

Career: Undergraduate
Units: 3
Term: 3820
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Pre-Requisite: (MATHS 2101 or MATHS 2202) and (MATHS 2102 or MATHS 2201)
Assumed Knowledge: MATHS 2104
Assessment: Ongoing assessment, Exam

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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Study Abroad student tuition fees available here

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information

  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,169 Band 2 $1,169 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
3820 Mon 06/08/2018 Fri 31/08/2018 Fri 14/09/2018 Fri 26/10/2018

Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
23656 LE01 45 33 23 Jul - 10 Sep Monday 4pm - 5pm Benham, G10, Benham Lecture Theatre
25 Jul - 12 Sep Wednesday 3pm - 4pm Napier, 208, Lecture Theatre
27 Jul - 14 Sep Friday 12pm - 1pm Napier, 209, Lecture Theatre
1 Oct - 22 Oct Monday 4pm - 5pm Benham, G10, Benham Lecture Theatre
3 Oct - 24 Oct Wednesday 3pm - 4pm Napier, 208, Lecture Theatre
5 Oct - 26 Oct Friday 12pm - 1pm Napier, 209, Lecture Theatre