Engineering Mathematics 2 (H1042Z)
Engineering Mathematics 2
Module H1042Z
Module details for 2022/23.
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.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T1 Week 7 | 50.00% |
| Problem Set | XVAC Week 1 | 50.00% |
| Unseen Examination | Semester 1 Assessment Week 1 | 80.00% |
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.
Ms Min Xiao
Assess convenor
/profiles/656344
Prof Jing Xu
Assess convenor
/profiles/544290
Ms Juan Chen
Assess convenor
/profiles/656343
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