UNIVERSITY OF MADRAS
Bachelor in Computer Applications (BCA)
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester III - Practical IV - Numerical and Statistical Methods Using C

Lecturer/Lab Hours per Week: 3
Duration: 2 hrs
Max Makrs: 50
Credit: 2

1. Finding roots of equations: Bisection Method.
2. Finding roots of Equations: Newton-Raphson Method.
3. Finding roots of Equations: Secant Method.
4. Solving algebraic equations: Gauss Elimination Method.
5. Numerical Integration - Trapezoidal rule, Simpson’s 1/3 rule, 3/8 rule.
6. Differential Equations - Runge-Kutta 2 order and 4th order method.
7. Diagrammatic and graphical representation of various statistical data and frequency distributions, Cumulative frequency curve.
8. Computation of various measures of location, dispersion, moments, skewness and kurtosis.
9. Computation of correlation coefficients - regression lines(raw data and grouped data) - correlation coefficients.
10. Fitting of Binomial, Poisson and normal distributions and testing goodness of fit.
11. Large sample test - tests for proportions.
12. Exact test based on t, Chi-square distributions with regard to mean, variance and correlation coefficients.