Modelling with Differential Equations

Learning Outcomes

Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Learn how to work closely with other group members making use of varying expertise within the group.

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• Distil the major elements of a physical problem into a mathematical model that is simple enough to allow some intelligent predictions to be made and valuable conclusions to be drawn.
• Understand a wide range of models that have been used in practical situations and be able to relate them to other situations.
• Identify the basic sorts of differential and algebraic equations that are commonly encountered during mathematical modelling of physical processes

Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Present, either in written or verbal form, or a combination of both, results from models that have been derived during the course

• Mathematical modelling methodology.
• Modelling using ODEs, both single and coupled.
• Modelling using PDEs, both single and coupled.
• Approximation and perturbation techniques.
• Use of computer packages (e.g. Matlab) in solving problems and presenting their solutions.

Student led small group discussions, lectures, private study and research.

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.