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Title: MAT 207, Methods of Mathematical Physics I
Institution: University of Lagos, Nigeria

Level:

Degree.

Description:
Cartesian vectors in R3: Single-letter and suffix notations. Direction ccaines. Summation convention (ij and Eijk). Transformation Laws, addition, multiplication, triple products. Simple examples from elementary in R3 and from mechanics.
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.


Languages:

English

Media and methods employed: Printed text, tV broadcast, radio broadcasts, face-to-face tutorials.
Printed correspondence texts prepared by institution, face-to-face tuition, radio, television via cable.

Administrative information:
This course is equivalent to 2 hours of instruction per week. It is a 1 semester course (15 weeks) and awards 2 units.


Classification:

070430 PHYSICS
070315 CALCULUS, ANALYSIS, DYNAMICS
070325 GEOMETRY

Date: 01 September 1992 bb
Source: COSIT Brochure

© 1999 International Centre for Distance Learning, The Open University


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