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.
Lecturer(s):
Prof. Chris Breward
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.