Engineering Mathematics A

School of Mechanical Engineering

College of Engineering and Physical Sciences

Details

Code 22981

Level of study Third/Final year

Credit value 10

Semester 1

Other pre-requisites 04 23779 Engineering Mathematics A+B

Module description

The aim of the module is to enhance your mathematical knowledge and confidence as preparation for the demanding applications of the final stage modules, to develop an understanding of the numerical techniques used within modern Finite Element Analysis computer packages and to prepare you to cope with the mathematical aspects of a research career involving engineering science. SYLLABUSNumber systems, errors and mathematical preliminaries, Taylor's seriesNon-linear equations - Newton's method Interpolation and Approximation - Lagrange, cubic spline, least squares Numerical Differentiation and Integration - Euler's method, Trapezoidal and Simpson's rule, Gauss Quadrature.Systems of linear and non-linear equations Ordinary Differential Equations - Euler's and Runge Kutta method