COURSE INFORMATION
Course Code: MM301
Course Name: Statistics and Numerical Techniques
Contacts: 3L+1T
Credits: 4
COURSE OUTCOME
At the end of this course, the incumbent will be able to:
PREREQUISITES
To understand this course, the incumbentmust have idea of:
· Derivative of a function and fundamental theorems on calculus
· Taylor series expansion of a single variable function
· Rolle’s theorem and Intermediate Value theorem
SYLLABI
Basic Statistics-measure of central tendency, dispersion, Probability, distribution introduction 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.
BEYOND SYLLABI COVERAGE
Gauss Jordan method.
Gauss Jacobi iterative method.
LECTURE PLAN
LECTURE NOTE
HOMEWORK/ASSIGNMENT
Assignment VI(Beyond Syllabus)
RECOMMENDED READINGS
TEXT
1. Dutta& Jana: Introductory Numerical Analysis.
2. Numerical Analysis, S.N. Mollah
REFERENCE
1. Balagurusamy: Numerical Methods, Scitech.