Modelling and Simulation

Overview

In this module, students will analyse real-life situations, build a mathematical model, solve it using analytical and/or numerical techniques, and analyse and interpret the results and the validity of the model by comparing to actual data. The emphasis will be on the construction and analysis of the model rather than on solution methods.

Rather than listening to lectures on modelling techniques, you will learn through doing. The major assessment component (project) will require you to identify an appropriate external stakeholder (e.g. A-level students wanting to learn about mathematical modelling, an industry or research area that requires modelling) and design a mathematical model that serves that partner in some way (e.g. by teaching them something, informing policy, or addressing a research need). You will submit a short piece of work each week and will receive feedback to support your learning (portfolio). You will also regularly meet with a group of your peers to discuss your efforts and reflect on your individual and collective learnings (reflective essay and diary). If you wish, you can even submit a group project with your peers as your final project. We will give all students taking this module the opportunity to raise awareness of the work they are doing through social media.

Materials on ordinary differential equations, combinatorics, basic probability theory and stochastic processes will be provided through CANVAS and should be used to inspire and support the project work you complete during this module.

Learning Objectives

On successful completion of the module students will
• Complete a piece of work on mathematical modelling that involves an identified, external stakeholder.
• Have engaged with the teaching materials provided by the lecturers over a sustained period of time.
• Critically reflect on their own and others learning experiences.

Skills

• Creative mathematical thinking
• Formulation of models, the modelling process and interpretation of results
• Teamwork
• Problem-solving
• Effective verbal and written communication skills
• Applying mathematics to real-world scenarios.
• Working with external stakeholders

Assessment