RCA201 Computer Based Numerical & Statistical Techniques UNIT-1 Floating point Arithmetic: Representation of floating point numbers Operations, Normalization Pitfalls of floating point representation Errors in numerical computation Iterative Methods: Zeros of a single transcendental equation zeros of polynomial using Bisection Method Iteration Method, Regula-Falsi method Newton Raphson method, Secant method Rate of convergence of iterative methods UNIT-2 Simultaneous Linear Equations: Solutions of system of Linear equations Gauss Elimination direct method and pivoting Ill Conditioned system of equations, Refinement of solution Gauss Seidal iterative method, Rate of Convergence interpolation and approximation: Finite Differences Difference tablesPolynomial Interpolation: Newton’s forward and backward formula UNIT-3 Numerical Differentiation and Integration: Introduction Numerical Differentiation, Numerical Integration Trapezoidal rule, Simpson’s rules Boole’s Rule Solution of differential equations: Picard’s Method Euler’s Method, Taylor’s Method Runge-Kutta methods, Predictor-corrector method Automatic error monitoring, stability of solution UNIT-4 Curve fitting, Cubic Spline and Approximation Method of least squares, fitting of straight lines polynomials, exponential curves etc .Frequency Chart: Different frequency chart like Histogram Frequency curve, Pi chart Regression analysis: Linear and Non-linear regression, Multiple regression UNIT-5 Time series and forecasting: Moving averages smoothening of curves, forecasting models and methods Testing of Hypothesis: Test of significance Chi-square test, t-test, F Test Application to medicine, agriculture etc
