302354 (v.1) Mathematics 261

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Area:	Department of Mathematics and Statistics
Credits:	12.5
Contact Hours:	3.0
Lecture:	2 x 1 Hours Weekly
Tutorial:	1 x 1 Hours Weekly
Prerequisite(s):	302353 (v.2) Mathematics 162 or any previous version
Syllabus:	Double and triple integrals, using cartesian, polar, spherical and cylindrical polars. Introduction to Laplace transforms and its application to solution of differential equations. Fourier series and solution of partial differential equations. Vector calculus - gradient, divergence and curl operators. Line integrals. Green's theorem,. Surface integrals. Divergence theorem and Stoke's theorem.
Unit Outcomes:	To introduce engineering students to Vector Analysis (which in important in fluid dynamics, electromagnetism, thermodynamics and any other field theory) and to Linear Systems of Ordinary Differential Equations (ODE's).
Text and references listed above are for your information only and current as of September 30, 2003. Please check with the unit coordinator for up-to-date information.
Unit References:	Zill DG and Cullen MR, Advanced Engineering Mathematics, PWS Publishing Company (1992) Thomas GB and Finney RL, Calculus and Analytic Geometry, 9th Edition, Addison-Wesley (1992)
Unit Texts:	Stewart, J. , 1999, Calculus, 4th Ed., New York, etc., Brook/Cole Publ. Comp. L.M. Gianini, 2002. Introduction to Linear Algebra, Department of Mathematics and Statistics.
Unit Assessment Breakdown:	Test: 40%, Examination: 60%
Year Location Period Internal Area External Central External 2004 Bentley Campus Semester 1 Y