Matrices: Algebra of Matrices; Rank of a Matrix; System of Linear Equations; Eigenvalues and Eigenvectors; Differential Calculus: Successive Differentiation; Partial Differentiation; Expansion of Functions of Several; Jacobians Curve Tracing; Errors and Approximations and Extrema of Functions; Multiple Integrals: Double and Triple Integrals and Change of Order of Integration; Applications of Double and Triple Integrals; Beta and Gamma Functions and Dirichlet's Theorem; Vector Calculus: Differentiation of V ectors; Gradient, Divergence and Curl; Integration of V ectors; Gauss's Divergence and Stoke's Theorems