Subject Details
Dept     : MECH
Sem      : 4
Regul    : 23
Faculty : V. Sandhya
phone  : NIL
E-mail  : sandhyav.snsctmaths@gmail.com
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Syllabus

UNIT
1
TESTING OF HYPOTHESIS

Sampling distributions – Tests for single mean, proportion 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.

UNIT
2
DESIGNS OF EXPERIMENTS

One way and two way classifications – Completely randomized design – Randomized block design – Latin square design – Applications of ANOVA.

UNIT
3
SOLUTIONS OF EQUATIONS

Newton Raphson method – Solution of linear system of equations – Gauss elimination method – Pivoting Gauss Jordan methods – Iterative methods of Gauss Jacobi and Gauss Seidal.

UNIT
4
INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION

Lagrange’s interpolation – Newton’s forward and backward difference interpolation – Approximation of derivatives using interpolation polynomials – Numerical single integration using Trapezoidal and Simpson’s 1/3 rules.

UNIT
5
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:

Walpole. R.E., Myers. R.H., Myers. S.L., and Ye. K., “Probability and Statistics for Engineers and Scientists”,9th Edition, Pearson Education, Asia, 2010. Burden, R.L and Faires, J.D, "Numerical Analysis", 9 th Edition, Cengage Learning, 2016. Devore. J.L., "Probability and Statistics for Engineering and the Sciences", Cengage Learning, New Delhi, 8 th Edition, 2014. Gerald. C.F. and Wheatley. P.O. "Applied Numerical Analysis" Pearson Education, Asia, New Delhi, 7th Edition, 2007. Spiegel,M.R., Schiller, J. and Srinivasan,R.A., "Schaum’s Outlines on Probabilty and Statistics”, Tata McGraw Hill edition, 4th Edition, 2012.

Text Book:

Grewal, B.S., and Grewal, J.S., “Numerical methods in Engineering and Science”, Khanna Publishers, 10th Edition , New Delhi, 2015. Johnson, R.A., Miller, I and Freund J., “Miller and Freund’s Probability and statistics for Engineers”, Pearson Education Asia, 9th Edition, 2018.