Syllabus

Course Code: BCA-501(II)    Course Name: COMPUTER ORIENTED NUMERICAL AND STATISTICAL METHODS

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Algebraic and Transcendental Equation: Bisection Method, Iteration method, Method of false position, Newton-Raphson 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 methods.
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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