UniMelb UGHB96 : 421-303 Mathematics for Engineers Unit 3.1

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421-303 Civil Engineering, Faculty of Engineering.
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421-303 Maths for Engineers, Faculty of Engineering.
421-303 Mechanical & Manuf. Eng, Faculty of Engineering.

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421-303 Mathematics for Engineers Unit 3.1

Credit points: 7.1

Coordinator: Assoc. Prof. R. L. Hughes

Prerequisite: Mathematics for Engineers Unit 2.2 (or equivalent)

Contact: 26 hours of lectures and 13 hours of tutorials

Timetable: First semester

Objectives:

On completion of this course students should have:

a knowledge of solution methods for solving partial differential equations which are the fundamental equations governing most phenomena of a continuous nature in more than one dimension, ranging from settlement of foundations to traffic flow on a highway
an advanced understanding of systems of ordinary differential equations which govern for instance the time evolution of many discrete systems and provide the background the numerical solution of many high order ordinary differential equations

Content:

Part 1 Partial Differential Equations: Partial differential equations of first and second order including Laplace's equation, the wave equation and the diffusion equation in various geometries. Separation of variables, methods of characteristics, numerical methods.
Part 2 Systems of Differential Equations: Sets of differential equations. Elementary approach for linear differential equations with constant coefficients, solution of homogeneous systems, normal modes, stability, classification of the critical point for linear systems, solutions of forced systems by fundamental matrices, linear differential equations with variable coefficients, independent solutions, Wronskians, numerical methods.

Assessment:

One three-hour examination at the end of first semester. Plus additional tests and assignments to a maximum value of 10%.

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421-303 Mathematics for Engineers 3.1

See additional details under the Civil Engineering subject above.

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Status:          Official 1996
Date created:    Oct  9 1995
Last modified:   Oct  9 1995
Authorised by:   Academic Registrar
Email enquiries: Course_Information@registrar.unimelb.edu.au

Maintained by:   Dept. of Civil and Environmental Engineering, Faculty of Engineering.