Handbook 1996 : Faculty of Science (Volume 4 page 214)
Mathematics subject : Next:618-352 | Prev:618-341 | Search | Help
618-342 "Industrial and Applied Mathematics" appears differently in several places - choose the one you want:
1. Mathematics, Faculty of Science (v4, p214) : Next:618-352 | Prev:618-341
Credit points: 15.0
Coordinator: Dr B D Hughes
Prerequisite: Mathematics 618-231, 618-232. Students are encouraged to take, in addition, one or both of 331, 332.
Contact: 39 lectures (three a week).
Timetable: Second semester
Objectives:
On completion of this subject, students should:Comprehend:
- the basic principles governing the flow of continuous media and transport processes within continuous media;
- the apparatus needed to formulate these principles mathematically (including vector and tensor methods);
- the concept of a constitutive equation.
Have developed:
- the ability to select a constitutive equation and correctly pose relevant boundary-value problems;
- skill in solving transport and flow problems in simple geometries;
- insight into the validity of approximate analyses;
- the ability to interpret solutions in physical terms.
Appreciate:
- the potential for mathematical modelling of flow and transport processes which arise in manufacturing, mineral exploitation and other areas of science and technology;
- the intimate connection between continuum mechanical problems and fundamental mathematical problems previously studied in methods-oriented subjects such as 618-231 and 618-232.
Content:
Basic principles of continuum mechanics: thermodynamics of continua, stress tensors, laws for transport of mass, momentum and energy. Fluid dynamics: The Newtonian viscous fluid: exact solutions, dynamical similarity, flow at low Reynolds number, lubrication theory, flow at high Reynolds number; effectively inviscid fluids: potential flow, isentropic gas flow, acoustics, shock waves; flow in porous media; diffusion and convection in a flowing fluid. Elasticity:the linear theory of elasticity; Navier's equation; elastic waves, applications.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
1. Mathematics, Faculty of Science (v4, p214) : Next:618-352 | Prev:618-341
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p149) : Next:618-352 | Prev:618-341
Credit points: 15.0
Coordinator: Dr B D Hughes.
Prerequisite: Mathematics 618-231, 618-232. Students are encouraged to take, in addition, one or both of 331, 332.
Contact: 39 lectures (three each week)
Timetable: Second semester.
Objectives:
On completion of this subject, students should:Comprehend:
- the basic principles governing the flow of continuous media and transport processes within continuous media;
- the apparatus needed to formulate these principles mathematically (including vector and tensor methods);
- the concept of a constitutive equation.
Have developed:
- the ability to select a constitutive equation and correctly pose relevant boundary-value problems;
- skill in solving transport and flow problems in simple geometries;
- insight into the validity of approximate analyses;
- the ability to interpret solutions in physical terms.
Appreciate:
- the potential for mathematical modelling of flow and transport processes which arise in manufacturing, mineral exploitation and other areas of science and technology;
- the intimate connection between continuum mechanical problems and fundamental mathematical problems previously studied in methods-oriented subjects such as 618-231 and 618-232.
Content:
Basic principles of continuum mechanics Thermodynamics of continua, stress tensors, laws for transport of mass, momentum and energy. Fluid dynamics The Newtonian viscous fluid: exact solutions, dynamical similarity, flow at low Reynolds number, lubrication theory, flow at high Reynolds number; effectively inviscid fluids: potential flow, isentropic gas flow, acoustics, shock waves; flow in porous media; diffusion and convection in a flowing fluid. Elasticity - The linear theory of elasticity; Navier's equation; elastic waves, applications.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
* Note that CONTACT, CONTENT, PREREQUISITES differs from the maintainer's version above. A log of variations is available.
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p149) : Next:618-352 | Prev:618-341
Status: Official 1996 Date created: Oct 9 1995 Last modified: Oct 9 1995 Authorised by: Academic Registrar Email enquiries: Course_Information@registrar.unimelb.edu.au
Maintained by: Dept. of Mathematics, Faculty of Science.
Copyright © University of Melbourne 1995,1996.