Taylor Series Method in Tamil | Statistics and Numerical Methods in Tamil Engineering Mathematics II
#engineeringmathematics #numericalmethod #importantquestions #taylorseries #viralvideo #Anna University #regulation2021 #statistics and numerical methods in tamil # ma 3251 important questions #Important Questions For Semester 2 MA3251 Statistics and Numerical Methods in Tamil Anna University # How to Pass Statistics and Numerical Methods | MA3251 #Regulation 2021 ma 3251 Two marks question and answer UNIT I – 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 II – DESIGN OF EXPERIMENTS One way and two way classifications – Completely randomized design – Randomized block design – Latin square design – 22 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 differential equations – Multi step methods: Milne’s and Adams – Bash forth predictor corrector methods for solving first order differential equations.
