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| Assessment Pattern |
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Unit(s) of Assessment
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2 hour written examination
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Coursework 20%
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Qualifying Condition(s)
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| Module Overview |
Second level engineering mathematics module designed to support teaching in other engineering science modules, and concentrating on techniques for solving ordinary and partial differential equations, and some statistics. |
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| Prerequisites/Co-requisites |
Completion of the progress requirements of Level HE1 and Modules ENG1001 (or ENG1011) and ENG1002 |
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| Module Aims |
| To extend students' knowledge and understanding of previously encountered mathematical concepts and techniques, to enable them to solve more complex engineering problems. |
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| Learning Outcomes |
On the completion of this module the students should be able to
• use transform methods for the analysis of initial value problems,
• solve eigenvalue problems, decompose periodic signals into sinusoidal components and solve differential equations in several variables.
• Recognise appropriate probability distributions and use them to calculate probabilities and apply to e.g. simple ideas of quality control
• select appropriate mathematical methods for the analysis of engineering problems or data
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| Module Content |
Laplace transforms (6 hours):
Definition and standard forms, operational properties, Heaviside unit and Dirac delta functions, shift theorems. Solution of ODE's with initial conditions.
Further matrix algebra (5 hours):
Eigenvalues and eigenvectors , applications to systems of linear differential equations and normal modes.
Fourier series (4 hours):
Periodic and trigonometric series, Fourier series for functions of any period, odd and even functions, half range Fourier series.
Partial differential equations (4 hours):
Introduction to PDE's, separation of variables method using trial solution; outline of full method.
Probability distributions (3 hours)
Discrete probability distributions (binomial, Poisson); continuous probability distributions (normal). Application to e.g. quality control.
Linear regression
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| Methods of Teaching/Learning |
22 hours of lectures, 11 hours of tutorial classes, and 67 hours independent learning.
Total student learning time 100 hours
The coursework will consist of 3 short in-tutorial tests with straightforward questions and will be marked and returned promptly for formative feedback as well as being partial summative assessment.
A booklet of sets of tutorial questions and final answers is issued at start of module. Worked solutions to tutorial questions are posted on ULearn some time after the relevant tutorial.
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| Last Updated |
| 3 May 2011 |
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