Teaching Responsibility

LJMU Schools involved in Delivery:

LJMU Partner Taught

Learning Methods

Lecture
Tutorial

Module Offerings

4502MECBHG-JAN-PAR

Aims

To provide a foundation in engineering mathematics for its application to the solution of engineering problems

Learning Outcomes

1.
Use vectors in the solution of engineering problems
2.
Use matrices in the solution of engineering problems and matrices
3.
Apply techniques in differentiation to the solution of engineering problems
4.
Apply techniques in integration to the solution of engineering problems
5.
Solve first order ordinary differential equations by the method of separation of variables and apply to the modelling of engineering problems
6.
Use and apply mathematical software to the solution of engineering mathematics problems

Module Content

Outline Syllabus:Introduction of the use of a computer algebra system. Use of the software applied to the syllabus items below Basic vector algebra including Cartesian components and products. Differentiation of vectors. Applications. Basic matrix manipulation including the inverse matrix. Solution of systems of linear equations. Differential calculus of one variable: Gradient of curve, derivatives of standard functions, linearity, derivatives of composite functions, products and quotients. Applications. Stationary points. Rates of change. Integral calculus as inverse of differentiation and as a limit of a sum. Standard integrals, linearity, integration of composite functions. Other methods of integration. Numerical integration. Ordinary differential equations. First order linear, constant coefficient equations. Separation of variables. Application to modelling
Additional Information:This module provides a foundation in engineering mathematics for level four students in mechanical and electrical engineering, to enable them to apply this to the solution of engineering problems.

Assessments

Essay