APP MTH 7107 - Partial Differential Equations and Waves
Career: | Postgraduate Coursework |
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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
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.
EFTSL | |||
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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 |
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4220 | Mon 08/08/2022 | Wed 17/08/2022 | Fri 16/09/2022 | Fri 28/10/2022 |
Class Details
Enrolment Class: Workshop | |||||||
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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. |