Newton Raphson method|computer oriented numericals and statistical method malayalam|cosm malayalam

#bca #calicutuniversity #3rdsemexam #computer_oriented_numerical_and_statistical_method #conm #conmmostimportant #conm_repeated #bsc_maths #floatingpoint #floating_point_arithmetic BCA3C05- Computer Oriented Numerical & Statistical Methods Course Number: 17 Contact Hours per Week: 5 Number of Credits: 3 Number of Contact Hours: 80 Hrs. Course Evaluation: Internal – 15 Marks + External – 60 Marks Objective • To learn the floating point arithmetic • Learning to solve linear equations. • To learn numerical differentiation and integration. • To learn the basics of statistics and probability theory Prerequisites Background of the basic Mathematics Course Outline UNIT I (8T) Floating Point Arithmetic - Errors, Significant digits and Numerical Instability, Roots of Algebraic Equations - Bisection Method - Method of False Position - Newton Raphson Method. UNIT II (12T) Interpolation and Approximation–Lagrange & Newton; Interpolations- Finite Difference Operators, Interpolating; Polynomials using finite differences, Simpson‟s 1/3rd rule ,Trapezoidal method. UNIT III (20T) Basics statistics: Measures of central tendencies - Mean, Median, Mode, Geometric mean and Harmonic mean. Measures of dispersion - Range, quartile deviation, Lorenz curve. Mean deviation and standard deviation. UNIT IV (20T) Curve fitting- Principles of least squares, fitting of straight lines. Correlation (Bivariate case only) Pearson‟s coefficient of correlation. Rank correlation and Regression analysis. Probability theory: Random experiment. Sample point, sample space, events, union, intersection and compliment of events. UNIT V (20T) Random variables and probability distribution, Discrete and continuous random variables- density function- distribution- density function. Reference books 1. Numerical Methods in Engineering, Salvadori & Baron,PHI 2. Numerical Methods for Scientific and Engineering Computation, M.K. Jain, SRK, Iyengar, R.K. Jain, New Age International 3. Introduction to Mathematical Statistics, Hogg R V Craig A T, Macmillan 4. Mathematical Statistics, Freund J E, Waple R E, Prentice Hall of India. 5. Probability and Statistics for Engineers, Miller I Freund J E, Prentice Hall of India.computer oriented numerical and statistics calicut university#com_most_important #newtonraphsonmethod #newtonraphsonmethod_malayalam