Write Programs in ‘C’ Language:
To deduce error envolved in polynomial equation.
To Find out the root of the Algebraic and Transcendental equations using Bisection, Regula-falsi, Newton Raphson and Iterative Methods. Also give the rate of convergence of roots in tabular form for each of these methods.
To implement Newton’s Forward and Backward Interpolation formula.
To implement Gauss Forward and Backward, Bessel’s, Sterling’s and Evertt’s Interpolation formula
To implement Newton’s Divided Difference and Langranges Interpolation formula.
To implement Numerical Differentiations.
To implement Numerical Integration using Trapezoidal, Simpson 1/3 and Simpson 3/8 rule.
To implement Least Square Method for curve fitting.
To draw frequency chart like histogram, frequency curve and pie-chart etc.
To estimate regression equation from sampled data and evaluate values of standard deviation, t-statistics, regression coefficient, value of R2 for atleast two independent variables.