Handbook 1996 : Faculty of Science (Volume 4 page 213)
Mathematics subject : Next:618-312 | Prev:618-302 | Search | Help
618-311 "Mathematical Modelling" appears differently in several places - choose the one you want:
1. Mathematics, Faculty of Science (v4, p213) : Next:618-312 | Prev:618-302
Credit points: 15.0
Coordinator: Dr S L Carnie
Prerequisite: Mathematics 618-130 or 618-132 and one of 618-201, 618-202, 618-231, 618-232, 618-252. Some exposure to 100-level Statistics is desirable.
Contact: 39 lectures (three a week)
Timetable: First semester
Objectives:
On completion of this subject, students should:Comprehend:
- the terminology of mathematical modelling;
- the principles and essential information regarding the modelling process, empirical modelling and parameter estimation, dimensional analysis and the qualitative behaviour of differential and difference equation models.
Have developed:
- the ability to use dimensional analysis to reduce the complexity of mathematical formulations in the physical sciences;
- skills in parameter estimation and empirical model building; skills in applying the modelling process to unfamiliar problems;
- skills in interpreting the qualitative behaviour of differential equation models; confidence in their modelling skills through completion of a modelling project.
Appreciate:
- the modelling cycle of problem formulation, solution, testing and refinement;
- the differences between causal and empirical models.
Content:
The modelling process: some physical phenomena as case studies; empirical modelling versus model fitting/parameter estimation. Dimensional analysis: a tool for the physical sciences; stability and structural stability in systems of differential equations; limit cycles and nonlinear difference equations.
Assessment:
Up to 40 pages of project reports and written assignments, and up to two hours of end-of-semester written examination.
1. Mathematics, Faculty of Science (v4, p213) : Next:618-312 | Prev:618-302
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p148) : Next:618-312 | Prev:618-262
Credit points: 15.0
Coordinator: Dr S L Carnie.
Prerequisite: Mathematics 618-130 or 618-132 and one of 618-201, 618-202, 618-231, 618-232, 618-252. Some exposure to 100-level Statistics is desirable.
Contact: 39 lectures (three each week)
Timetable: First semester.
Objectives:
On completion of this subject, students should:Comprehend:
- the terminology of mathematical modelling;
- the principles and essential information regarding the modelling process, empirical modelling and parameter estimation, dimensional analysis and the qualitative behaviour of differential and difference equation models.
Have developed:
- the ability to use dimensional analysis to reduce the complexity of mathematical formulations in the physical sciences;
- skills in parameter estimation and empirical model building; skills in applying the modelling process to unfamiliar problems;
- skills in interpreting the qualitative behaviour of differential equation models; confidence in their modelling skills through completion of a modelling project.
Appreciate:
- the modelling cycle of problem formulation, solution, testing and refinement;
- the differences between causal and empirical models.
Content:
The modelling process Some physical phenomena as case studies; empirical modelling versus model fitting/parameter estimation. Dimensional analysis A tool for the physical sciences; stability and structural stability in systems of differential equations; limit cycles and nonlinear difference equations.
Assessment:
Up to 40 pages of project reports and written assignments, and up to two hours of end-of-semester written examination.
* Note that CONTACT, CONTENT differs from the maintainer's version above. A log of variations is available.
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p148) : Next:618-312 | Prev:618-262
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.