UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN STATISTICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester IV - Allied - Practical II - Numerical Methods and Programming in 'C'

Time: 3 Hours
Practical 40 + Record 10
Max. Marks : 50

Two questions have to be set with internal choice.

First question based on Unit 1 & Second question based on Unit 2.

Unit - 1 ('C')

Solution of polynomial equation - Newton Rapson method. Solution of system of simultaneous equation - Gauss elimination method. Lagrange interpolation. Numerical integration by Trapezoidal, Simpson’s and Weddle’s rules. Calculate the value of Fl (upto five significance decimal places given the infinite series). (π / 4 = 1 - 1 / 3 + 1 / 5 - 1 / 7 +.... )

Check the accuracy of the built in functions Sin(x), Cos(x), (x in radians) ex, e-x. Evaluate these functions by summing the given series, by setting up a ioop in which each successive term is obtained from previous terms until the term is smaller than the desired error. (eg. .001, .0001, .00001)

Generation of Fibonacci sequence.
Matrix addition, multiplication, inverse, transpose, determinant of square matrix. Solution of simultaneous equations by using Iterative methods and by using inverse.

UNIT - 2:

Measure of central tendency - Measure of dispersion. Correlation coefficient, regression coefficient, fitting of straight, line and fitting of distributions - Binomial, Poisson. Tests of significance based on t, F, chi-square and normal distributions.