University Course Planner The University of Adelaide Australia

APP MTH 7107 - Partial Differential Equations and Waves

Career: Postgraduate Coursework
Units: 3
Term: 4220
Campus: North Terrace
Contact: Up to 3 contact hours per week.
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: No
Assumed Knowledge: (MATHS 2102 or MATHS 2106 or MATHS 2201) and (MATHS 2104 or MATHS 2107)
Assessment: Ongoing assessment, exam
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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Student Status

Domestic
International

What type of place are you studying in

Commonwealth supported
Full fee paying

Study Level

Undergraduate
Postgraduate Coursework
Non Award

Program of Study

Study Abroad student tuition fees are available here

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

The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.

Units
EFTSL
Amount
3
0.125
          
  


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
4220 Mon 08/08/2022 Wed 17/08/2022 Fri 16/09/2022 Fri 28/10/2022


Class Details

Enrolment Class: Workshop
Class Nbr Section Size Available Dates Days Time Location
23988 WR01 5 3 25 Jul - 12 Sep Monday 9am - 10am Ingkarni Wardli, 218, Teaching Room
3 Oct - 24 Oct Monday 9am - 10am Ingkarni Wardli, 218, Teaching Room
Note: This class will be delivered both online and face to face. Please refer to MyUni for details once enrolled.
Related Class: Tutorial
Class Nbr Section Size Available Dates Days Time Location
22919 TU03 3 3 26 Jul - 13 Sep Tuesday 3pm - 4pm MyUni, OL, Online Class
4 Oct - 25 Oct Tuesday 3pm - 4pm MyUni, OL, Online Class
Note: This class is for offshore / interstate students only. Where this requirement is not met, students risk being removed from this class. Please refer to MyUni for details once enrolled.
23983 TU02 3 3 28 Jul - 15 Sep Thursday 2pm - 3pm Barr Smith South, 1062, Teaching Room
6 Oct - 27 Oct Thursday 2pm - 3pm Barr Smith South, 1062, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
23984 TU01 3 1 26 Jul - 13 Sep Tuesday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room
4 Oct - 25 Oct Tuesday 9am - 10am Engineering & Mathematics, EMG07, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
Related Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
28937 LEC0 5 3 This class does not have any timetabled face-to-face sessions. Please check MyUni or contact your Course Coordinator for details.