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BCA (Academic Year 2019-20 Onwards), , , , 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, © Leaming to solve linear equations,, , * To learn numerical differentiation and integration., , * To learn the basics of statistics and probability theory, , Prerequisites, Background of the basic Mathematiog. ©, , Course Outline, , ATY O-¢, , , , uy, }, , 3, an, , UNIT I(8T), , , , , ‘Numerical Instability, Roots of Algebraic, jan - Newt@Q¢Raphson Method., , UNIT 1 (121) By ae, , Interpolation and Approximation-Lagrange & Newton; Interpol, Operators, Interpolating; Polynomials using finite differences, Simpson's 1/31 rule ,Trapezoidal, ‘method., , jons- Finite Difference, , , , UNIT I 207), 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 (207), , , , Curve fitting- Principles of least squar 2 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., , , , F2[Page Board of Studies UG | Computer Science& Applications | University of Calicut, , , , BCA (Academic Year 2019-20 Onwards), , , , UNIT V 207), , Random variables and probability distribution, Discrete and continuous random variablesdensity 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,, lyengar, R.K. Jain, New Age International, 3. Introduction to Mathem:, , , , Statistics, Hogg RV Craig A T, Macmillan, 4, Mathematical Statistics, Freund J E, Waple R E, Prentice Hall of India., , 5. Probability and Statistics for Engineers, I Figund J E, Prentice Hall of India., y sincers, Meg Tig, , x c, “ *, , Z, BCA3€06 —Theoky of Computation, Ce, , Course Number: 18, Contact Hours per Week: 5 ab, Number of Credit, Number of Contact Hours:, Course Evaluation: Internal —, , , , a wy, at Rare 60 Marks., , , , Objective, , @ “Toeet a general introduction $9 the theory of Computer Science