BCA PART I semester-wise scheme: 2007-2008 ... - Vikram University

choosing one from each Unit”, Thus, the paper will clearly specify Units,and have a pattern of two questions per unit, with an option to attempt anyone of these two within each unit.UNIT - INUMERICAL COMPUTATIONS:Computer Arithmetic: Floating Point Number Operations, Normalizationand their consequences. Iterative Methods: Bisection Method, FalsePosition Method, Newton Raphson Method, Secant Method, Graffes RootSquaring Method, Convergence of Solution.UNIT - IISimultaneous Linear Equations: Solution of simultaneous Linear Equations- Gauss Elimination Method, Gauss - Seidal Method, Gauss - JordanElimination Method, Triangularization Method & Pivoting Condensation,III Conditioned Equation & Refinement of solutions.Curve Fitting: Curve Fitting Method, Least Curve fitting, Non Linear curvefitting.UNIT - IIIDifference Operators and Interpolation: Definition of Forward, Backward,Shifting, Divided Difference, Central and Averaging Operators and theirRelationships. Newton’s Forward Interpolation Formula, Newton’sbackward Interpolation Formula, Newton’s Divided Interpolation Formula,Lagrange’s Interpolation Formula.UNIT - IVNumerical Differentiation: Numerical Differentiation using Newton’sForward Interpolation Formula, Newton’s backward Interpolation Formula,Newton’s Divided Interpolation Formula. Numerical Integration: GeneralQuadrature Formula, Newton – Cote’s Formula, Trapezoidal Rule,Simpson’s One Third Rule, Simpson’s Three Eight Rule.UNIT - VNumerical Solutions of Ordinary Differential Equations: Euler’s Method,Euler’s Modified Method, Taylor’s Series Method, Picard’s method, RungeKutta Second Order and Fourth order Method.BOOKS:1. Numerical Analysis by Gupta And Malik. (TEXT).63