MODELLING THEORY

MODELLING THEORY
Course Code
PX 4514
Credit Points
15
Course Coordinator
Dr M Thiel

Pre-requisites

Level 3 in Engineering, Physics or Mathematics.

Notes

Physical Sciences intend to describe natural phenomena in mathematical terms. This course bridges the gap between standard courses in physical sciences, where successful mathematical models are described, and scientific research, where new mathematical models have to be developed. Students will learn the art of mathematical modelling, which will enable them to develop new mathematical models for the description of natural systems. Examples from a wide range of phenomena will be discussed, eg. from biology, ecology, engineering, physics, physiology and psychology.
A focus will be the critical interpretation of the mathematical models and their predictions. The applicability of the models will be assessed and their use for the respective branch of the natural sciences will be discussed.

Overview

The course content reflects the learning outcomes and contains the material for the students to realize these. This course bridges the gap between standard courses in physical sciences, where successful mathematical models are described, and scientific research, where new mathematical models have to be developed. Students will learn the art of mathematical modelling, which will enable them to develop new mathematical models for the description of natural systems. Examples from a wide range of phenomena will be discussed, eg. from biology, ecology, engineering, physics, physiology and psychology.
A focus will be the critical interpretation of the mathematical models and their predictions. The applicability of the models will be assessed and their use for the respective branch of the natural sciences will be discussed.

Structure

2 one-hour lectures, 1 one-hour computer lab/lecture, and 1 one-hour tutorial per week.

Assessment

1st attempt: Continuous assessment (assignments & projects (80%); oral exam (20%)). 6 to 7 in course assessments (solutions to be presented on the board during tutorials), one presentation of the project, a four page manuscript using LaTeX in the style of PRL.

Resit: Mini modelling project (80%) and oral exam (20%).
Only the marks obtained at the first attempt can count towards Honours classification.

Formative Assessment

Formative assessment will be by means of a continuous dialogue with the lecturer and interaction with the same during the problem solving exercises and the developement of models.

Feedback

Due to the nature of the (primarily) continuous assessment of the course - summative assessment will be on a continuous ongoing basis as project work is marked.