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 Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 2102 or MATHS 2106 or MATHS 2201
Assumed Knowledge: (MATHS 2104 or MATHS 2107) and (MATHS 2101 or MATHS 2202 or ELEC ENG 2106)
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

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

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
Semester 2 Mon 10/08/2020 Wed 19/08/2020 Fri 30/10/2020 Not Available


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
23836 LE01 50 20 31 Jul - 18 Sep Friday 2pm - 3pm Ingkarni Wardli, 234, CAT Suite
9 Oct - 30 Oct Friday 2pm - 3pm Ingkarni Wardli, 234, CAT Suite
29225 LE03 20 6 31 Jul - 18 Sep Friday 2pm - 3pm MyUni, OL, Online Class
9 Oct - 30 Oct Friday 2pm - 3pm MyUni, OL, Online Class