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| Module Availability |
Semester 2 |
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| Assessment Pattern |
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Unit(s) of Assessment
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Weighting Towards Module Mark (%)
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Examination
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80
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Coursework
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20
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Qualifying Condition(s)
A weighted aggregate mark of 40% is required to pass the module
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| Module Overview |
Engineers frequently use mathematical models, and in particular differential equations in one or more variables and matrices are common in this context. This is a further first level engineering mathematics module designed to support teaching in other engineering science modules by introducing students to concepts and solution methods in these areas. |
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| Prerequisites/Co-requisites |
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Module ENG1001
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| Module Aims |
To develop further understanding of mathematical concepts and techniques and their application to engineering problems. |
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| Learning Outcomes |
Upon successful completion of this module students should be able to:
- apply techniques of differential and integral calculus to engineering problems
- find extrema of a function of two variables
- solve straightforward differential equations as encountered in engineering problems
- manipulate matrices in appropriate contexts.
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| Module Content |
- Applications of integration:
- to first moments and centroids, second moments and radii of gyration.
- Functions of several variables:
- Partial derivatives for functions of several variables, total derivative, application to small changes in a function and errors. Extrema of functions of two variables.
- Simple double integrals.
- Ordinary differential equations:
- First order, first degree ODE's of separable type and the integrating factor method.
- First and second order ODE's with constant coefficients (complementary solution and particular integrals).
- Initial and boundary value problems.
- Matrices and determinants:
- Matrix addition, multiplication, etc., determinants, Cramer's rule.
- Matrix operations involving transpose, inverse, rank of matrix
- Solving systems of equations using matrices
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| Methods of Teaching/Learning |
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30 hours lectures, 10 hours supervised tutorial sessions, 2 hour examination and 60 hours independent learning. Total student learning time 100 hours.
Coursework based on tutorial problems.
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| Selected Texts/Journals |
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Required reading:
James G, Modern Engineering Mathematics, 4th edition (or earlier), Prentice-Hall, 2008 (ISBN 978-0-13-239144-3)
Stroud KA and Booth D.J., Engineering Mathematics, 6th edition (or earlier), Palgrave Macmillan, 2007. (ISBN 978-1-4039-4246-3)
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| Last Updated |
1st October 2010 |
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