Vector field theory
Not offered in 1995
BS BT DT BC BP BDT
Mr Francis Benyah
3 points * Second semester * 2 hours per week * Gippsland/Distance (even-numbered years only) * Prerequisites: GAS2612
This subject aims to develop the basic results and methods in the differential and integral calculus of vector functions through physical applications, and to introduce Cartesian tensors.Vector functions of a single variable and their derivatives; integrals of vector functions along curves and over surfaces; vectors in three dimensions; 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; tensor algebra, four-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%
Prescribed texts
Kreysig E Advanced engineering mathematics 7th edn, Wiley, 1993
Recommended texts
Marsden J E and Tromba A J Vector calculus Freeman, 1988
O'Neil P Advanced engineering maths Wadsworth, 1991