Handbook 1996 : Faculty of Engineering (Volume 4 page 92)
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1. 421-203 Civil Engineering, Faculty of Engineering.
2. 421-203 Electrical Engineering, Faculty of Engineering.
3. 421-203 Maths for Engineers, Faculty of Engineering.
4. 421-203 Mechanical & Manuf. Eng, Faculty of Engineering.

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421-203 Mathematics for Engineers Unit 2.1A (Advanced)

Credit points: 7.1

Coordinator: Assoc. Prof. R. L. Hughes

Prerequisite: Mathematics 618-171, 618-172 (or equivalents)

Contact: 26 hours of lectures and 13 hours of tutorials

Timetable: First semester

Objectives:

On completion of this course students should have:

• a good understanding of special differential equations including an understanding of how a differential equation may exhibit various solution branches and how a solution can jump from one branch to another
• a knowledge of how the mathematical description of a system is related to the statistical description and how state changes are possible

Content:

Part 1 Bifurcations: Review of differential equations, special differential equations including Legendre, Bessel, Mathieu, Hermite and parabolic cylinder, eigenvalues, behaviour at critical points, subcritical and supercritical bifurcations, Hopf bifurcations, applications.

Part 2 Statistical Mechanics: Classical solid body dynamics and multibody dynamics, Maxwell's distribution, generalisation of distribution, thermodynamic limit, dynamical phase changes, percolation theory, connective phase changes.

Assessment:

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

1. Civil Engineering, Faculty of Engineering (v4, p92) : Next:421-204
2. Electrical Engineering, Faculty of Engineering (v4, p100) : Next:421-204
3. Maths for Engineers, Faculty of Engineering (v4, p87) : Next:421-204

4. Mechanical & Manuf. Eng, Faculty of Engineering (v4, p109) : Next:421-204 | Prev:411-803

421-203 Mathematics for Engineers Unit 2.1 A (Advanced)

See additional details under the Civil Engineering subject above.

* Note that TITLE differs from the maintainer's version above. A log of variations is available.

4. Mechanical & Manuf. Eng, Faculty of Engineering (v4, p109) : Next:421-204 | Prev:411-803

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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

Copyright © University of Melbourne 1995,1996.