Syllabus

Course Code: ELECTIVE-II    Course Name: COMPUTER ORIENTED STATISTICAL METHODS

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Algebraic and Transcendental Equation: Bisection Method, Iteration method, Method of false position, NewtonRaphson method, Methods of finding complex roots, Rate of convergence of Iterative methods, Finding solution for Polynomial Equations, Developing algorithms for these methods.
2 Numerical Integration: Introduction, Trapezoidal rule, Simpson’s 1/3 and 3/8 rule; Interpolation: Lagrange’s method, Newton’s method; Developing algorithms for these methods.
Differential Equations: Picard’s Method, Euler’s Method, Taylor’s Method, Runge- Kutta Methods, Predictor Corrector Methods, Automatic Error Monitoring and Stability of solution, Developing algorithms for these met
3 Curve Fitting: Straight line fit, Quadratic fit, Exponential fit, Correlation: Range Correlation, Karl Pearson correlation; Regression; Developing algorithms for these methods.
4 Mean, Median, Mode, Variance, Standard Deviation, kurtosis, moments, skewness; Probability distribution: Binomial, Poission, Normal distribution; Developing algorithms for these methods
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