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Matrices: Sum and product. Determinants. Partial and total derivatives: Condition for Pdx +qdy to be an exact differential. Transformation of coordinates. Jacobian. Cylindrical and spherical coordinates. Parametric representation of curves and surfaces. Integrals. Evaluation of line, surface and volve integrals by repeated integrations and changes of variables. Grad, div and curl for cartesian and for Othogonal curvilinear coordinates. Identity for V2U. Vector and scalar forms of divergence and stoke's theorem. Green's theorem. Scalar and vector potentials. Laplace"s and Poisson's equations. Mass and charge distributions over volumes and surfaces. Physical example of irrotational and solenoidal fields. Assessment is by assignments and examination. Programmes for which this course is required or in which it can be included: Bachelor of Science Honours in Education/Physics Bachelor of Science Honours in Education/Mathematics. | |||||||||||||||||||
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070315 CALCULUS, ANALYSIS, DYNAMICS 070325 GEOMETRY | ||||||||||||||||||
Date: | 01 September 1992 bb
Source: COSIT Brochure |
© 1999 International Centre for Distance Learning, The Open University