Core01: Mathematical Modelling - Archived material for the year 2019-2020

2019-2020
Lecturer(s): 
Prof. Chris Breward
Course Term: 
Michaelmas
Course Overview: 

Mathematical modelling is the process of formulating real-world situations or processes in mathematical terms. In this course we will consider some recipes and techniques that are common to formulating and analysing many models. Students will gain hands-on experience of making, solving and interpreting models.

Course Synopsis: 

Introduction to modelling with examples; conservation of mass; continuous and discrete models.

Dimensions and units; dimensional analysis; Buckingham Pi Theorem; Scaling and Nondimensionalisation.

Simple asymptotic analysis.

Modelling challenges will include: soap film rupture, buses turning corners, T-shirt box packing, calibration of robot arms, and extraction of sugar from sugar cane.

Reading List: 

S.D. Howison, Practical Applied Mathematics: Modelling, Analysis, Approximation, CUP, 2005

Please note that e-book versions of many books in the reading lists can be found on SOLO and ORLO.