MA8452,MA3251 Statistics and Numerical Methods (SNM)
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Important questions
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same syllbus for both subject so dont confuse with code read these topic fully will get good marks
UNIT-1
1.Tests based on t,Chi-square and F distributions for mean**
2.Contingency table,Goodness of fit.
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UNIT-2
1.Completely randomized,Randomized block design**
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2.22 factorial design
UNIT -3
1.Gauss elimination method , Pivoting
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Gauss Jordan method
2.Iterative methods of Gauss Jacobi and Gauss Seidel
UNIT-4
1.Numerical integration using
Trapezoidal, Simpson’s 1/3 rule
2. Rombergs method
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UNIT-5
1.Fourth order Runge Kutta method for solving first order equations
2. Taylors method
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**Very important questions are bolded and may be asked based on this topic
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*These questions are expected for the exams This may or may not be asked for exams All the best.... from admin Santhosh
Thanks for your love and support guys keep supporting and share let the Engineers know about Us and leave a comment below for better improvements If there is any doubt feel free to ask me I will clear if I can or-else I will say some solutions ..get me through WhatsApp for instant updates ~$tuff$£ctorSYllabuS
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*These questions are expected for the exams This may or may not be asked for exams
All the best.... from admin Santhosh
Thanks for your love and support guys keep supporting and share let the Engineers know about Us and leave a comment below for better improvements
If there is any doubt feel free to ask me I will clear if I can or-else I will say some solutions ..get me through WhatsApp for instant updates ~$tuff$£ctorUNIT I TESTING OF HYPOTHESIS
Sampling distributions – Estimation of parameters – Statistical hypothesis – Large sample tests based
on Normal distribution for single mean and difference of means -Tests based on t, Chi-square and F distributions for mean, variance and proportion – Contingency table (test for independent) -Goodness of fit.
UNIT II DESIGN OF EXPERIMENTS
One way and two way classifications – Completely randomized design – Randomized block design –Latin square design -factorial design.
UNIT III SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS
Solution of algebraic and transcendental equations – Fixed point iteration method – Newton Raphson
method – Solution of linear system of equations – Gauss elimination method – Pivoting – Gauss Jordan
method – Iterative methods of Gauss Jacobi and Gauss Seidel – Eigenvalues of a matrix by Power
method and Jacobi’s method for symmetric matrices.
UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION
Lagrange’s and Newton’s divided difference interpolations – Newton’s forward and backward
difference interpolation – Approximation of derivates using interpolation polynomials – Numerical
single and double integrations using Trapezoidal and Simpson’s 1/3 rules.
UNIT V 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 and Adams
– Bash forth predictor corrector methods for solving first order equations.
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