mca Syllabus

Statistics and Numerical Techniques
Code: MM 301
CONTACTS: 3L + 1 T
CREDITS: 4
Basic Statistics-measure of central tendency, dispersion, Probability, distributionintroduction to mass function, density function, distribution function (Binomial, Poisson, Normal), estimation of parameters (unbiasedness-concept of noise/error, consistency) Interpolation-Newtons Forward, Backward, Sterling & Bessel’s Interpolation formula, Lagrange's Interpolation
Integration- Trapezoidal, Simpson’s 1/3 rd, Weddel’s Rule, Romberg Integration, Gauss-
Legendre two & three point formula, Newton Cotes Formula.
Gram-Schmidt orthogonalisation, Tchebycheff polynomial
Solution of transcendental equations- Method of Iteration, Method of Bisection, Newton -
Raphson Method, Regula-Falsi method, Secant Method.
Solution of system of linear equations- Gauss Elimination Method, Gauss-Jacobi, Gauss-
Seidel, LU factorisation, Tri-diagonalisation.
Inverse Interpolation.
Least Square Curve fitting- linear & non-linear
Solution of Differential Equations- Picard’s method, Euler-modified method,Taylor’s Series method, Runge-Kutta method, Milne’s Predictor-Corrector method.

Books:
1.Numerical Analysis, Shastri, PHI
2.Numerical Analysis, S. Ali Mollah
3.Numerical Analysis, James B. Scarbarough
4. .Numerical Methods for Mathematics ,Science & Engg., Mathews, PHI
5.Numerical Analysis,G.S.Rao,New Age International
6.Programmed Statistics (Questions – Answers),G.S.Rao,New Age International
7.Numerical Analysis & Algorithms, Pradeep Niyogi, TMH
8.Computer Oriented Numerical Mathematics, N. Dutta, VIKAS
9.Numerical Methods,Arumugam,Scitech
10.Probability and Statisics for Engineers,Rao,Scitech
11.Numerical Methods in Computer Application,Wayse,EPH