J C Lattanzio
3 points
* 26 lectures and 12 consultation and
practical class hours
* First/second semester
* Clayton
*
Prerequisites: MAT1920 or ENG1603
Objectives Students completing this subject will be expected to understand a range of techniques that can be used to determine analytical solutions of differential equations, including a basic understanding of Laplace transform theory; understand and be able to use the Fourier series for periodic functions and be able to apply these to partial differential equations.
Synopsis This subject will cover a variety of methods for the solution of differential equations, extending the techniques covered in the prerequisite first-year subjects; topics covered include determining general solutions of certain types of linear second and higher-order ordinary differential equations, including by reduction of order, variation of parameters, power-series and Frobenius methods; Laplace transforms are introduced and used to solve ordinary differential equations; Fourier series are introduced and applied to the solution of partial differential equations by the method of separation of variables.
Assessment Examinations (2 hours): 90%
*
Assignments: 10%
Prescribed texts
Kreyszig E Advanced engineering mathematics 7th edn, Wiley, 1993
Back to the Engineering Handbook, 1998
Published by Monash University, Australia
Maintained by wwwdev@monash.edu.au
Approved by R Chaffey, Faculty of Engineering
Copyright © Monash University 1997 - All Rights Reserved -
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