Sampling distributions – Statistical hypothesis – Tests for single mean and Difference of means (large and small samples) – Tests for single variance and equality of variances – Chi square test for goodness of fit – Independence of attributes.
Completely randomized design – Randomized block design – Latin square design-Applications of ANOVA.
Newton Raphson method – Pivoting Gauss Jordan methods – Iterative methods of Gauss – Seidal – Matrix Inversion by Gauss – Jordan method.
INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION
Lagrange’s interpolation – Newton’s forward and backward difference interpolation – Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal and Simpson’s 1/3rd rule.
NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS
Single step methods: Taylor’s series method – Euler’s method – Modified Euler’s Method – Fourth order Runge-Kutta method for solving first order equations – Multi step methods: Milne’s predictor-corrector methods for solving first order equations.
Reference Book:
1 Spiegel M.R , Schiller J and Srinivasan R.A ,"Schaum’s Outlines Probability and Statistics”, Tata McGraw Hill edition, 3rd Edition, 2011.
2 Chapra S.C and Canale R.P. “Numerical Methods for Engineers”, 6th Edition, Tata McGraw Hill Edition, 2014.
3 Gerald C.F. and Wheatley P.O. “Applied Numerical Analysis”, 8th Edition, Pearson Education, Asia, New Delhi, 2014
4 Walpole R.E., Myers. R.H., Myers. S.L., and Ye. K., “Probability and Statistics for Engineers and Scientists”, 8th Edition, Pearson Education, Asia, 2007.
5 Kandasamy P, Thilagavathy K and Gunavathy K., "Numerical Methods", 3rd Edition, S. Chand & Company Pvt. Ltd, 2013.
Text Book:
1 Johnson, R.A. and Gupta,C.B., Miller and Freund’s, “Probability and statistics for Engineers”, Pearson Education Asia,8th Edition, 2011.
2. Grewal, B.S and Grewal, J.S, “Numerical methods in Engineering and Science”, 9th Edition, Khanna Publishers, New Delhi, 2012.
