UNIT 1:
Probability. Axioms of probability
Discrete Random variables
Problems on Discrete and Continuous Random Variable
Moment Generating Function
Exponential and Normal distributions.
UNIT 2:
Introduction and Application of Testing of hypothesis
Large sample test based on Normal distribution for single mean
Large sample test based on Normal distribution for difference of means Tutorial 1
t -distribution for difference of means
Chi-square distribution for Goodness of fit
Chi-square distribution for Independence of attributes
UNIT 3:
Introduction and Application of Design of experiments
One-way classifications - Completely Randomized Design [CRD]
UNIT 4:
Introduction - Newton Raphson method
Pivoting Gauss Jordan method
Gauss Seidal Iterative method
Gauss Seidal Iterative method problems
Matrix Inversion – Gauss Jordan method
Numerical integration by Trapezoidal
Numerical integration by Simpson’s 1/3 rules
UNIT 5:
Numerical solution of ODE- Taylor’s series method
Numerical solution of ODE- Taylor’s series method
Problems on Taylor’s series method
Euler’s & Modified Euler’s method
Problems on Taylor’s series method
Fourth order Runge-Kutta method for solving first order equations
Fourth order Runge-Kutta method for solving first order equations
Milne’s predictor corrector methods for solving first order
Adam’s Bashforth predictor corrector methods for solving first order problems
