Teaching Responsibility

LJMU Schools involved in Delivery:

LJMU Partner Taught

Learning Methods

Lecture
Tutorial

Module Offerings

4502USST-JAN-PAR

Aims

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

Learning Outcomes

1.
Apply vectors in the solution of engineering problems
2.
Apply 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.
Apply mathematical software to the solution of engineering mathematics problems

Module Content

Outline Syllabus: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. Gradient of curve, 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 Linear independence, Rank of a Matrix, Symmetric Matrix; Reduction to Canonical form; Higher order differentiation and Optimization on one variable function.
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

Exam