Teaching Responsibility

LJMU Schools involved in Delivery:

Computer Science and Mathematics
Engineering

Learning Methods

Lecture
Tutorial

Module Offerings

5302MECH-SEP-CTY

Aims

To provide a further course in engineering mathematics and its application to the solution of engineering problems.

Learning Outcomes

1.
Solve first order and second order ordinary and partial differential equations for engineering problems.
2.
Solve simultaneous homogeneous ordinary differential equations
3.
Implement numerical methods to obtain solutions for mathematical problems.
4.
Apply mathematical software in the solution to problems involving topics on the syllabus.

Module Content

Outline Syllabus:
The use of a computer algebra system (for example MATLAB or similar). Use of the software applied to the syllabus items below. The solution of first order Ordinary Differential Equations (ODE) 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 and application of software. Introduction to programming in MATLAB or similar symbolic mathematical software. Use numerical methods to solve engineering problems using appropriate software (e.g. MATLAB).
Module Overview:
This module will provide you with a further course in engineering mathematics and its application to the solution of engineering problems.

 
Additional Information:
This module provides a basis in advanced engineering mathematics for level 5 students in mechanical and electrical engineering to enable them to apply this to the solution of engineering problems.

Assessments

Test
Report