Unit of study_

# MATH4413: Applied Mathematical Modelling

Applied Mathematics harnesses the power of mathematics to give insight into phenomena in the wider world and to solve practical problems. Modelling is the key process that translates a scientific or other phenomenon into a mathematical framework through applying suitable assumptions, identifying important variables and deriving a well-defined mathematical problem. Mathematicians then use this model to explore the real-world phenomenon, including making predictions. Good mathematical modelling is something of an art and is best learnt by example and by writing, refining and analysing your own models. This unit will introduce you to some classic mathematical models and give you the opportunity to analyse, explore and extend these models to make predictions and gain insights into the underlying phenomena. You will also engage with modelling in depth in at least one area of application. By doing this unit you will develop a broad knowledge of advanced mathematical modelling methods and techniques and know how to use these in practice. This will provide a strong foundation for applying mathematics and modelling to many diverse applications and for research or further study.

Code MATH4413 Mathematics and Statistics Academic Operations 6
 Prerequisites: ? None None None MATH2X21 and MATH3X63 or equivalent. That is, a knowledge of linear and simple nonlinear ordinary differential equations and of linear, second order partial differential equations.

At the completion of this unit, you should be able to:

• LO1. Demonstrate an understanding of key concepts in mathematical modelling and the associated mathematical theory with an in-depth understanding of modelling and analysis in at least one field.
• LO2. Critically analyse suitable mathematical frameworks to model real-world problems, produce suitable models and interpret the results of this modelling.
• LO3. Find and critically evaluate information about area of modelling applications and judge its reliability and significance.
• LO4. Synthesise theory from this unit, theory from other units, the research literature or other written resources, and numerical calculations to generate solutions to complex problems in mathematical modelling.
• LO5. Communicate clearly and appropriately, in both formal and informal contexts, both orally and through written work.
• LO6. Contribute to team and group work to develop mathematical models and to perform analyses and interpretation and for the process of learning.
• LO7. Demonstrate a sense of responsibility, ethical behaviour and independence as a learner and as an applied mathematician.

## Unit outlines

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