5XÉçÇøÊÓƵ

Module details for 2021/22.

15 credits

FHEQ Level 4

Pre-Requisite

Engineering Maths 1A

Module Outline

Module Outline
The Engineering Maths 1B module follows on from the Engineering Maths 1A module, developing
the mathematical techniques studied in the context of their application to physical processes. In
the physical world many quantities change over space and these quantities may have different
physical characteristics. For instance, the amount of electric charge in a region of space is a
scalar quantity, but the velocity of the flow of a liquid is described by a vector and hence is a vector
quantity. This module develops some of the mathematical tools needed to describe the changes
of these quantities with different characters (scalar or vector) in space. Many of these methods
will be useful in your later courses, for example, in electromagnetism and quantum mechanics.

Module Topics
Integration of vectors; point masses, coordinates of centres of mass of uniform lamina, moments
of mass, moments of inertia; sequences and series, infinite series, binomial series, power series,
Maclaurin and Taylor series; modelling with differential equations, solutions to first order differential
equations using separation of variables and integrating factor methods, solutions to second
order ordinary differential equations with constant coefficients; general solutions and unique solutions;
matrices: characteristic equations, eigenvalues and eigenvectors; multiple integration:
surface integrals, integration over non-rectangular regions, volume integrals, polar, cylindrical and
spherical co-ordinates; introduction to differential vector calculus: divergence, gradient or curl of
a vector or scalar field; line integrals, surface and volume integrals over scalar and vector fields;
Gauss and Stokes’ Theorems

AHEP3 Learning Outcomes
SM2p SM2m SM5m EP2p EP3p EP4p EP2m EP3m EP4m

Library

Helping Engineers Learn Mathematics (HELM); helm@lboro.ac.uk
Bostock and Chandler, Pure Mathematics Volume 2, Nelson Thornes Ltd
Kreysig, Advanced Engineering Mathematics, 9th edition, Wiley International

Module learning outcomes

Apply differential and integral calculus of many variables to the evaluation of line, surface and volume integrals and have an appreciation of the applications in engineering analysis

Calculate power series expansions and have an appreciation of the applications in engineering analysis

Perform matrix algebra including determinants, Eigenvalues and Eigenvectors and have an appreciation of their applications in engineering analysis

Solve first and second order ordinary differential equations and have an appreciation of their applications in engineering analysis

View timetable

Timing

Submission deadlines may vary for different types of assignment/groups of students.

Weighting

Coursework components (if listed) total 100% of the overall coursework weighting value.

How to read the week pattern

The numbers indicate the weeks of the term and how many events take place each week.

Dr Carole Becker

Assess convenor
/profiles/103997