Calculus of integration and differentiation: Functions, limits and continuity, algebraic and periodic functions, calculating differentials, inverse functions, parametric forms, libetnz theory, Maclaurin’s and Taylor’s expansions, the mean value of curvature theory, inverse differentials . Linear algebra : matrices, algebraic operations on matrices, hermetian and orthogonal matrices, ordinary operations, ordinary matrices, equivalence of matrices, graded matrix, systems of linear equations, rank of a matrix, eigen values and cayley-hamilton theory, linear spaces, binomial theory, partial fractions. This course is taught in First Year, Fall 2007
MP


