Teaching Responsibility

LJMU Schools involved in Delivery:

LJMU Partner Taught

Learning Methods

Lecture
Tutorial

Module Offerings

5502USST-SEP-PAR

Aims

To develop further understanding in engineering mathematics for application to the solution of engineering problems

Module Content

Outline Syllabus:The solution of first order ODE's by the integrating factor method. The solution of second order ODE's by the method of undetermined coefficients. Application to single degree of freedom oscillating systems. Functions of several variables. Partial differentiation with application to optimisation and error estimation. Eigenvalues and eigenvectors. By manual calculation for low order matrices. Use of software for matrices of larger order. Solution of two first and second order, homogeneous simultaneous ODE's with constant coefficients. Application to normal modes for a two degree of freedom system. Laplace transforms. Concepts. Use of tables. The inverse transform. Application to the solution of ODE's. Transfer functions and stability. Periodic functions. Fourier series for functions of any period. Harmonics. Numerical solution of ODE's. Euler’s method.
Additional Information:This module provides a basis in advanced engineering mathematics for level five students in mechanical and electrical engineering.

Assessments

Exam