MA3251 Statistics and Numerical Methods Notes
Download MA3251 Statistics and Numerical Methods Books, Lecture Notes, Part-A 2 marks with answers, Part-B 16 marks Questions, PDF Books. In this Notes Very Useful for First Year Second Semester Students.
“MA3251 Statistics and Numerical Methods Books”
“MA3251 Statistics and Numerical Methods Lecture Notes”
“MA3251 Statistics and Numerical Methods Study Material”
“MA3251 Statistics and Numerical Methods Notes”
Subject Info:
| Semester | Second Semester |
| Department | Common to All Departments |
| Year | First Year |
| Regulation | R 2021 |
| Subject Code / Name | MA3251 Statistics and Numerical Methods |
| Content | Local Authors Books, Lecture Notes |
Syllabus:
MA3251 Statistics and Numerical Methods
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.
