Part-A: Basic Concepts and Rank of a Matrix; Linear Equations; Inverse of a Matrix; Eigen V alues and Eigen Vectors; Part-B: Complex Numbers; De's Moivre's Theorem; Exponential Values of the Sine and Cosine and Hyperbolic Functions; Separation into Real and Imaginary Parts; Logarithms of Complex Quantities; Gregory's Series ; Summation of Trigonometrical Series; Inverse Circular Function; Infinite Product; Part-C : Multiple Product of Vectors; Differentiation and Integration of Vectors; Gradient, Divergence and Curl; Green's, Gauss, Stoke's Theorems; Curves in Space.