# MA8491 Numerical Methods Syllabus Notes Question Bank with answers

## MA8491 Numerical Methods Syllabus Notes Question Papers Question Bank with answers - Anna University Study materials

#### Download Regulation 2017 MA8491 Numerical MethodsSyllabus Notes Question bank Question papers-  regulation 2017 2nd Semester

MA8491 Numerical Methods study materials for all 5 unit Syllabus Notes, question banks, 2 marks with answers (Part A), 15 marks questions (Part B & Part C), Previous year question papers, model question papers in pdf format have been provided.

Students can make use of the below table to access all study materials for  MA8491 Numerical Methods in PDF as well as in word format. Students can also download Numerical Methods related PPT's and PDF's which they can use it to prepare for their exams as well as for their taking up their seminar during college hours.

#### MA8491 Numerical Methods  Syllabus | MA8491 Syllabus

UNIT I 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 II INTERPOLATION AND APPROXIMATION
Interpolation with unequal intervals - Lagrange's interpolation – Newton’s divided difference interpolation – Cubic Splines - Difference operators and relations - Interpolation with equal intervals - Newton’s forward and backward difference formulae.
UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION
Approximation of derivatives using interpolation polynomials - Numerical integration using Trapezoidal, Simpson’s 1/3 rule – Romberg’s Method - Two point and three point Gaussian quadrature formulae – Evaluation of double integrals by Trapezoidal and Simpson’s 1/3 rules.
UNIT IV INITIAL VALUE PROBLEMS FOR 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.
UNIT V BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL
DIFFERENTIAL EQUATIONS
Finite difference methods for solving second order two - point linear boundary value problems - Finite difference techniques for the solution of two dimensional Laplace’s and Poisson’s equations on rectangular domain – One dimensional heat flow equation by explicit and implicit (Crank Nicholson) methods – One dimensional wave equation by explicit method.

### MA8491 Numerical Methods study materials

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