Unit-I: Linear Algebra • Matrices, Rank and Solution of • Eigen Values and Eigen Vectors, Unit-II: Calculus • Limits, Continuity, Partial Derivatives and Total Derivatives • Maxima and Minima • Mean Value Theorems • Multiple Integrals, Unit-III: Vector Calculus • Vector Differentiation and Vector Integration, Unit-IV: Differential Equations • Ordinary Differential Equations of First Order • Ordinary Differential Equations of Second and Higher Order • Partial Differential Equations, Unit-V: Complex Variables • Complex Functions, Limits and Differentiation • Complex Integration, Cauchy's Integral Theorem and Integral Formula • Power Series Expansions, Contour Integration and Residues, Unit-VI: Probability and Statistics • Probability and Statistics, Random Variables and Distributions • Correlation and Regression, Unit-VII: Numerical Methods • Numerical Solution of Linear and Non-Linear Algebraic Equations • Numerical Differentiation and Integration • Numerical Solution of Ordinary Differential Equations, Unit-VIII: Graph Theory • Graph Theory • Question Bank