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School of Engineering and Informatics (for staff and students)

Engineering Mathematics 2 (H1042Z)

Engineering Mathematics 2

Module H1042Z

Module details for 2024/25.

15 credits

FHEQ Level 5

Module Outline

The Engineering Mathematics 2 module is divided into two sections. The first builds on the mathematics studied in the first year engineering mathematics modules by the further study of the solution of linear differential equations of various types, a topic of considerable importance in engineering analysis. These methods are then extended to cover methods of transforming linear differential equations into the frequency domain, a method that is central to the analysis of modern engineering control systems. A brief section then considers some basic methods for numerically solving differential equations. Solution methods for some of the partial differential equations common in engineering analysis, such as the heat and wave equations, are then detailed. The second section of the module introduces probability theory and statistical methods, illustrated with examples showing how these concepts can be used to gain estimates of the outcomes of the complex interactions that often occur in real engineering systems.

Module Topics
Revision of first order and second order differential equation time domain solution methods. Laplace transform and associated theorems; convolution. Solution of ODEs via the Laplace transform. Numerical solution of ODEs. Partial differential equations; separation of variables; outline of Fourier series solution; Laplace, Poisson, heat and wave equations. Probability: random variables; Bayes’ theorem; continuous and discrete distribution and density functions; expectations; normal distribution; central limit theorem; estimation of parameters; moment and maximum likelihood methods; student’s t-test; confidence intervals; quality control; acceptance sampling; reliability; failure rates; Weibull distribution.

Module learning outcomes

Understand the essential features and properties of ordinary differential equations.

Apply different solution methodologies to ordinary differential equations including classical linear theory, Laplace transforms, and numerical methods, in order to gain physical insight into solutions.

Apply solution methods to partial differential equations commonly encountered in engineering with examples of detailed solution methods for the heat and wave equations.

Understand the essentials of probability theory and statistics, and how inferences from sampled data can be quantified and used to make meaningful decisions.

TypeTimingWeighting
Unseen ExaminationSemester 1 Assessment Week 1 80.00%
Coursework20.00%
Coursework components. Weighted as shown below.
Problem SetT1 Week 7 50.00%
Problem SetXVAC Week 1 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

Ms Min Xiao

Assess convenor
/profiles/656344

Ms Juan Chen

Assess convenor
/profiles/656343

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.

School of Engineering and Informatics (for staff and students)

School Office:
School of Engineering and Informatics, º£½ÇÉçÇø, Chichester 1 Room 002, Falmer, Brighton, BN1 9QJ
ei@sussex.ac.uk
T 01273 (67) 8195

School Office opening hours: School Office open Monday – Friday 09:00-15:00, phone lines open Monday-Friday 09:00-17:00
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