Numerical Methods Syllabus for B.Tech 4th sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.<\/p>\n
The detailed syllabus for Numerical Methods B.Tech (R13) fourthsem is as follows<\/p>\n
OBJECTIVES:<\/strong><\/p>\n This course aims at providing the necessary basic concepts of a few numerical methods and\u00a0give procedures for solving numerically different kinds of problems occurring in engineering\u00a0and technology<\/p>\n UNIT I : SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS<\/strong> \u00a0 [10+3 hours] UNIT II : INTERPOLATION AND APPROXIMATION \u00a0<\/strong> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[8+3 hours] UNIT III : NUMERICAL DIFFERENTIATION AND INTEGRATION<\/strong> \u00a0 \u00a0 \u00a0[9+3 hours]
\nSolution of algebraic and transcendental equations – Fixed point iteration method \u2013 Newton Raphson\u00a0method- Solution of linear system of equations – Gauss elimination method \u2013 Pivoting – Gauss Jordan\u00a0method \u2013 Iterative methods of Gauss Jacobi and Gauss Seidel – Matrix Inversion by Gauss Jordan\u00a0method – Eigen values of a matrix by Power method.<\/p>\n
\nInterpolation with unequal intervals – Lagrange’s interpolation \u2013 Newton\u2019s divided difference\u00a0interpolation \u2013 Cubic Splines – Interpolation with equal intervals – Newton\u2019s forward and backward\u00a0difference formulae.<\/p>\n
\nApproximation of derivatives using interpolation polynomials – Numerical integration using\u00a0Trapezoidal, Simpson\u2019s 1\/3 rule \u2013 Romberg\u2019s method – Two point and three point Gaussian\u00a0quadrature formulae \u2013 Evaluation of double integrals by Trapezoidal and Simpson\u2019s 1\/3 rules.<\/p>\n