B. Tech. (IT & Mathematical Innovations) - Applied Mathematics IV

# AM4-1-Iterative Techniques and Interpolation (Click) 

• Bisection Method, Method of False Position, Newton-Raphson method, Jacobi iteration method, Gauss Seidal method

# AM4-2-Finite Differences & Difference Tables (Click) 

• Finite Differences & Difference tables

# AM4-3-Polynomial Interpolation (Click) 

• 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

# AM4-4-Numerical Differentiation & Integration & Differential equations (Click) 

• 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

# AM4-5-Probability & Probability Distributions (Click) 

• Overview of Probability, Introduction and expected value of Random variable (discrete and continuous), Variance of Random Variable, Probability Distribution: Binomial, Poisson, Normal

# AM4-6-Measure of Dispersion, Moments, Skewness & Kurtosis (Click) 

• Moments about a point, mean and origin, Skewness, Kurtosis Pearson’s β and γ – coefficients

# AM4-7-Least Square Fitting (Click) 

• Curve Fitting using Method of Least Squares, Fitting of Straight lines, Fitting of second degree parabola