2025/6 – MTHD6032A Mathematical Techniques
Autumn Semester, Level 6 module, Credits: UCU 20
Organiser: Dr Paul Hammerton
Assessment Type: Examination with Coursework or Project
In applied mathematics, we will often model a real-life problem and obtain an integral or differential equation to solve. Sometimes we can find exact solutions to these equations, but we often need to resort to approximations. This module will teach you a range of useful techniques that can be used across a variety of applied mathematics problems. We provide techniques for a wide range of applications, while stressing the importance of rigour in developing such techniques. The Calculus of Variations includes techniques for maximising integrals subject to constraints. A typical problem is the curve described by a heavy chain hanging under the effect of gravity. Asymptotic analysis provides a method for solving equations, or evaluating integrals, which involve small parameters, when exact results can not be found and when numerical solutions are difficult. A range of integral transforms are discussed which are useful for solving problems including integro-differential equations. This unit will include illustration of concepts using numerical investigation with MAPLE but no previous experience of using this software is assumed.
Before taking this module you must take MTHA5002B or take MTHA5005A or take MTHB5010A