Number of lectures per week: 3
End-of-year Examination: 3 hour paper in June
General introduction to vectors and linear vector spaces, vectors in
3-dimensions, application to 3-dimensional geometrical problems.
Review of calculus in 1-dimension, curve tracing, introduction to
partial differentiation, the operator Ñ and its
geometrical significance, Taylor expansions, maxima and minima.
Multiple integrals, line, surface and volume integrals, change of
variable, Jacobians. Introduction to Gauss and Stokes theorems.
Linear differential equations.
Matrices and their application, solution of a system of linear
equations, eigenvalues and eigenvectors of real symmetric matrices,
diagonalization of matrices.
D. E. Bourne and P. C. Kendall : Vector Analysis and Cartesian Tensors
Jun 10, 1998