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 Probabilty and Statistics”, Tata McGraw Hill edition, 3rd Edition, 2011 (UNIT-I,II)
2. Chapra, S.C and Canale, R.P. “Numerical Methods for Engineers”, 6th Edition, Tata McGraw Hill Edition, 2014 (UNIT-III,IV,V)
3. Gerald, C.F. and Wheatley, P.O. “Applied Numerical Analysis”, 8th Edition, Pearson Education, Asia, New Delhi, 2014 (UNIT-III, IV, V)
4. Walpole. R.E., Myers. R.H., Myers. S.L., and Ye. K., “Probability and Statist ics for Engineers and Scientists”, 8th Edition, Pearson Education, Asia, 2007. (UNIT-I,II)
5.Kandasamy, P., Thilagavathy. K and Gunavathy, K., "Numerical Methods", 3rd Edition, S.Chand & Company Pvt. Ltd, 2013. (UNIT-III, IV, V).
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. (UNIT-I,II)
2. Grewal, B.S and Grewal, J.S, “Numerical methods in Engineering and Science”, 9th Edition, Khanna Publishers, New Delhi, 2012 (UNIT-III,IV,V).
