MAS342   Applicable Analysis   (10 credits)

Description

Over the years mathematical tools have been developed to solve practical problems which have arisen naturally in the course of research. Many of these problems involve the evaluation of integrals or the solution of differential equations and so are essentially concerned with calculus. This is a course made up of topics which have numerous applications and is ideal for those who can cope with calculus and enjoy it. The aim of this module is to develop the theory of a number of analytical tools in such a way as to acquaint the students with the underlying theory and to teach them the capabilities and limitations of the methods. The course will include plenty of examples so that students learn to use the tools correctly. Topics covered are improper integrals, Gamma and Beta functions and the theory of Laplace transforms. They are used to evaluate integrals and to solve ordinary and partial differential equations. As some students will reach the third year without meeting differential equations, an introductory section on differential equations is included in the course.

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