Vector field theory
Not offered in 1997
Dr Jill Wright
3 points * Second semester * 2 hours per week * Gippsland/Distance (even-numbered years only) * Prerequisites: GAS2612 * Prohibition: MAA2011
Objectives On completion of this subject, the student should be familiar with the calculus of vector fields and linear algebra, and be able to use results relating to line, surface and volume integrals (especially the theorems of Stokes, Gauss and Green) in applications, including electromagnetism.
Synopsis Topics covered include differential and integral calculus of vector functions, including gradient of a scalar field, and divergence and curl of a vector field; orthogonal curvilinear coordinates; Stokes', Gauss' and Green's theorems; applications to electromagnetism; cartesian tensors, tensor algebra and 4-vectors in special relativity. The subject is taught by lectures and tutorials. Study guides present the basic material, with illustrations and notes on further reading. Some assignment work provides exercises which are corrected but do not count directly towards assessment grades.
Assessment Two assessment assignments: 40% * Examination: 60%
Recommended texts
Adams R A Calculus of several variables Addison-Wesley, 1991
Marsden J E and Tromba A J Vector calculus Freeman, 1988
O'Neil P Advanced engineering maths Wadsworth, 1991
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