Introductory description

This module consists of a series of 4 laboratory projects which combine physical or computer experiments with mathematical modelling and analysis. The projects will include work on symmetry breaking, catastrophe theory, nonlinear oscillators, period doubling, and coupled pendula.

Students work in groups on the experiments and a joint written report.

Module web page

Module aims

Outline syllabus

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

This module consists of a series of 4 laboratory projects which combine physical or computer experiments with mathematical modelling and analysis. The projects will include work on symmetry breaking, catastrophe theory, nonlinear oscillators, period doubling, and coupled pendula.

Learning outcomes

By the end of the module, students should be able to:

• To show how various aspects of mathematics seen in earlier modules can be applied to real-world situations, such as the application of differential equations to the study of coupled and nonlinear oscillators.
• To illustrate the use of simple group theoretical ideas in problems with symmetries.
• To provide an opportunity for students to learn the thought process used to solve long and complicated problems, by breaking them down into smaller, more manageable pieces.
• To provide an opportunity for students to develop report writing skills.
• To provide an opportunity for students to develop the ability to work in groups.

Indicative reading list

As this module follows on from several core first year modules, you are recommended to check the recommended texts for those modules.

Subject specific skills

Students gain an understanding of how various aspects of mathematics seen in earlier modules can be applied to real-world situations, such as the application of differential equations to the study of coupled and nonlinear oscillators, and the use of simple group theoretical ideas in problems with symmetries.

The module provides an opportunity for students to learn the thought process used to solve long and complicated problems, by breaking them down into smaller, more manageable pieces.

Transferable skills

• group work
• problem solving techniques
• scientific and mathematical rigour
• report-writing skills
• computer programming
• applying mathematics to real-world problems