Errors In Numerical Calculations Types Of Errors-Significant Digits-Programming Errors- Numerical Solution Of Non Linear Equations-Bisection Method-RegulaFalsi Method-Newton Raphson Method –Fixed Point Method Of Iteration – Rates Of Convergence Of These Methods-Solutions Of Algebraic Equations-Guass Elimination Method-Relaxation Method-Gauss Seidel Iteration Method-Gauss Jordan Method-Polynomial Interpolation – Lagrange’s Interpolation Polynomial-Divided Differences-Newton’s Divided Difference Interpolation-finite Differences-Operators (∆, ∇ and E)-Gregory-Newton ForwardAnd Backward Difference Interpolation Polynomials-Central Differences.Mathematical Formulation Of Linear Programming problem-Formulation Of LPP-Graphical Solution Of LPP – Canonical And Standard Form Of LPP-Simplex Method-Big M Method- Two Phase Method-Principle Of duality-Dual Simplex Method.Transportation Problem-Initial Basic Feasible Solution-North West Corner Rule-Vogel’s. Approximation Method –Tests For Optimality-Unbalanced Transportation Problem-Assignment Problem-Travelling Salesman Problem.