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-22 factorial design
SOLUTIONS OF EQUATIONS AND EIGEN VALUE PROBLEMS
Newton Raphson method – Pivoting Gauss Jordan methods – Iterative method of Gauss – Seidal – Matrix Inversion by Gauss – Jordan method - Eigenvalues of a matrix by power 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:
Spiegel. M.R, Schiller. J. and Srinivasan. R.A, "Schaum’s Outlines Probabilty 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 . (UNIT-I, II, III, IV ,V)
Gerald. C.F. and Wheatley, P.O. “Applied Numerical Analysis”, 8th Edition, Pearson Education, Asia, New Delhi, 2014 (UNIT-I, II, III, IV ,V).
Johnson. R.A., Miller, I and Freund, J., “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 8th Edition, 2015.
Burden. R.L and Faires, J.D, "Numerical Analysis”, 9th Edition, Cengage Learning, 2016.
Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014
Text Book:
Johnson. R.A, Miller. I and Freund. J, “Miller and Freund’s Probability and Statistics for Engineers", Pearson Education, Asia, 8th Edition, 2015. (UNIT-I, II, III, IV ,V)
Grewal. B.S and Grewal. J.S, “Numerical Methods in Engineering and Science ", 10th Edition, Khanna Publishers, New Delhi, 2015 (UNIT-I, II, III, IV ,V)
