Bisection Method, Method of False Position, Newton-Raphson method, Jacobi iteration method, Gauss Seidal method
Finite Differences & Difference tables
Polynomial Interpolation: Newton’s forward and backward formula, Central Difference Formulae: Gauss forward and backward formula, Interpolation with unequal intervals: Lagrange’s Interpolation, Newton divided difference formula
Numerical differentiation, Numerical Integration : Trapezoidal rule, Simpson’s 1/3 and 3/8 rules, Solution of differential equations: Euler’s Method,Euler's Modified Formula Runga-Kutta 4th Order Method
Overview of Probability, Introduction and expected value of Random variable (discrete and continuous), Variance of Random Variable, Probability Distribution: Binomial, Poisson, Normal
Moments about a point, mean and origin, Skewness, Kurtosis Pearson’s β and γ – coefficients
Curve Fitting using Method of Least Squares, Fitting of Straight lines, Fitting of second degree parabola