Synopsis for B568a: Introduction to applied mathematics

Overview

In week one of Michaelmas Term, an introductory course of six lectures will be provided. These lectures are a compulsory prerequisite for all students doing any of the courses in B5, B6 or B8. This courselet will cover basic material common to all these courses, and it will be assumed that students taking any of these courses have attended B568a. The courses B5a, B6a and B8a will consequently contain 14 lectures, and begin in second week. There will be one problem sheet associated with this course, and it is anticipated that written solutions will be provided. No separate class will be scheduled.

Learning Outcomes

Student will acquire the background knowledge to prepare them for applied mathematics options.

Synopsis

Modelling and conservation laws. [1 lecture]

Scaling and non-dimensionalisation. [1 lecture]

Asymptotic sequences. Regular and singular perturbation methods for algebraic equations. Simple boundary layer theory. [4 lectures]

1. S. D. Howison, Practical Applied Mathematics: Modelling, Analysis, Approximation (Cambridge University Press, Cambridge, 2005). Chapters. 1,2,3,13,16.