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| Module Delivery |
Autumn semester. |
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| Assessment Requirements |
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Components of Assessment
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Method(s)
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Percentage Weighting
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2 class tests
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80%
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Coursework
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20%
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| Module Overview |
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| Prerequisites/Co-requisites |
Normal entry requirements for degree course in Engineering.
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| Module Aims |
To consolidate and extend students’ knowledge of basic mathematical concepts and techniques relevant to the solution of engineering problems, to make students aware of possible pitfalls and to enable students to select appropriate methods of solution.
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| Learning Outcomes |
Students should have developed competence and confidence in manipulating standard functions, using complex numbers, using the techniques of differential and integral calculus for functions of one variable and manipulation of simple series. |
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| Module Content |
Revision:
Basic algebra (factorisation, partial fractions), geometry, trigonometry.
Functions:
Exponential and logarithmic functions and their properties. Odd, even and periodic functions. Concept of a function and inverse functions, inverse trigonometric functions, hyperbolic functions and their inverses, solution of trigonometric and hyperbolic equations.
Complex numbers:
Real and imaginary parts, polar form, Argand diagram, exp(jx), De Moivre’s theorem and applications.
Differentiation:
Concept of derivative and rules of differentiation for a function of one variable. Applications to gradients, tangents and normals, extreme points and curve sketching.
Series and Limits:
Arithmetic and geometric progressions, Maclaurin and Taylor series, use of series in approximations, Newton Raphson method, various techniques for the evaluation of limits.
Integration:
Concept of indefinite integration as the inverse of differentiation and standard methods for integration such as substitution, integration by parts and integration of rational functions. Definite integration, area under curves, use of recurrence relationships, numerical integration. |
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| Methods of Teaching/Learning |
30 hours lectures, 10 hours supervised tutorial sessions, and 60 hours independent learning, including use of Mathletics computer package.
Total student learning time 100 hours. |
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| Selected Texts/Journals |
Required reading:
None
Recommended background reading:
James G, Modern Engineering Mathematics, 3rd ed, Prentice-Hall, 2001 (ISBN 01301. |
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| Last Updated |
15 August 2006 |
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