Engineering Mathematics 1B (H1034Z)
Note to prospective students: this content is drawn from our database of current courses and modules. The detail does vary from year to year as our courses are constantly under review and continuously improving, but this information should give you a real flavour of what it is like to study at Sussex.
We’re currently reviewing teaching and assessment of our modules in light of the COVID-19 situation. We’ll publish the latest information as soon as possible.
Engineering Mathematics 1B
Module H1034Z
Module details for 2024/25.
15 credits
FHEQ Level 4
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 diffferent
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
Module learning outcomes
Be able to apply differential and integral multivariate calculus to the evaluation of line, surface and volume integrals and have an appreciation of the applications in engineering analysis.
Understand how to calculate power series expansions and have an appreciation of the applications in engineering analysis.
Be familiar with matrix algebra, including the calculation of Eigenvalues and Eigenvectors, and have an appreciation of their applications in engineering analysis.
Understand a variety of methods used to solve first and second order ordinary differential equations and have an appreciation of their applications in engineering analysis.
| Type | Timing | Weighting |
|---|---|---|
| Unseen Examination | Summer Vacation Week 3 Fri 08:40 | 80.00% |
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | VACATION Week 1 | 50.00% |
| Problem Set | T2 Week 10 | 50.00% |
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.
Prof Jing Xu
Assess convenor
/profiles/544290
Please note that the University will use all reasonable endeavours to deliver courses and modules in accordance with the descriptions set out here. However, the University keeps its courses and modules under review with the aim of enhancing quality. Some changes may therefore be made to the form or content of courses or modules shown as part of the normal process of curriculum management.
The University reserves the right to make changes to the contents or methods of delivery of, or to discontinue, merge or combine modules, if such action is reasonably considered necessary by the University. If there are not sufficient student numbers to make a module viable, the University reserves the right to cancel such a module. If the University withdraws or discontinues a module, it will use its reasonable endeavours to provide a suitable alternative module.