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CONTENTS 1. Introduction 1.1 Course Outline 1 1.2 Introduction ...

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Assessment criteria:<br />

The extent to which the student is able to demonstrate an ability to:<br />

• Derive equations and relationships.<br />

• Prove selected theorems from first principles or as directed.<br />

• Use theorems and properties in numerical examples.<br />

• Calculate or compute Fourier transforms and convolutions and interpret the results.<br />

• Use matrix algebra to analyse geometric and other transformations.<br />

• Use linear regression on experimental data.<br />

• Construct Monte-Carlo models and implement them, and then to critically appraise the<br />

outcomes.<br />

Assessment Methods and Weightings:<br />

Written examination: 50%, <strong>Course</strong>work: 50%.<br />

Sources:<br />

Essential reading:<br />

D.W.Jordan and P.Smith, Mathematical Techniques, 2 nd ed., Oxford University Press, Oxford (1998).<br />

J.James, A Students Guide to Fourier Transforms with Applications in Physics and Engineering,<br />

Cambridge University Press,(1995).<br />

Further reading:<br />

A. Gleason (translator) et al., Who is Fourier A Mathematical Adventure, Transnational College of<br />

LEX, Blackwell Science (1995).<br />

R.N. Bracewell, The Fourier Transform and its Applications, McGraw-Hill, London .<br />

DPI_Hbook 72 ©University of Westminster

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