ANNA University Statistics And Numerical Methods Notes
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Syllabus:
UNIT II DESIGN OF EXPERIMENTS 9 + 3
Completely randomized design – Randomized block design – Latin square design - 22 - factorial design.
UNIT III SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS 9 + 3
Newton-Raphson method- Gauss Elimination method – Pivoting - Gauss-Jordan
methods – Iterative methods of Gauss-Jacobi and Gauss-Seidel - Matrix Inversion by Gauss-Jordan method - Eigenvalues of a matrix by Power method .
UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND
NUMERICAL INTEGRATION 9 + 3
Lagrange’s and Newton’s divided difference interpolation –Newton’s forward and backward difference interpolation - Approximation of derivatives using interpolation polynomials - Numerical integration using Trapezoidal and Simpson’s 1/3 rules.
UNIT V NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS 9 + 3
Taylor’s series method - Euler’s method - Modified Euler’s method - Fourth order Runge- Kutta method for solving first and second order equations - Milne’s predictor-corrector methods for solving first order equations - Finite difference methods for solving second order equation.
You Can Download The Material Of SNM From The Below Link
Syllabus:
UNIT I TESTING OF HYPOTHESIS 9 + 3
Sampling distributions - Tests for single mean, Proportion, 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.
Sampling distributions - Tests for single mean, Proportion, 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 9 + 3
Completely randomized design – Randomized block design – Latin square design - 22 - factorial design.
UNIT III SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS 9 + 3
Newton-Raphson method- Gauss Elimination method – Pivoting - Gauss-Jordan
methods – Iterative methods of Gauss-Jacobi and Gauss-Seidel - Matrix Inversion by Gauss-Jordan method - Eigenvalues of a matrix by Power method .
UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND
NUMERICAL INTEGRATION 9 + 3
Lagrange’s and Newton’s divided difference interpolation –Newton’s forward and backward difference interpolation - Approximation of derivatives using interpolation polynomials - Numerical integration using Trapezoidal and Simpson’s 1/3 rules.
UNIT V NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS 9 + 3
Taylor’s series method - Euler’s method - Modified Euler’s method - Fourth order Runge- Kutta method for solving first and second order equations - Milne’s predictor-corrector methods for solving first order equations - Finite difference methods for solving second order equation.
You Can Download The Material Of SNM From The Below Link