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 \u2013 Fixed point iteration method \u2013 Newton Raphson\u00a0method- Solution of linear system of equations \u2013 Gauss elimination method \u2013 Pivoting \u2013 Gauss Jordan\u00a0method \u2013 Iterative methods of Gauss Jacobi and Gauss Seidel \u2013 Matrix Inversion by Gauss Jordan\u00a0method \u2013 Eigen values of a matrix by Power method.<\/p>\n
\nInterpolation with unequal intervals \u2013 Lagrange\u2019s interpolation \u2013 Newton\u2019s divided difference\u00a0interpolation \u2013 Cubic Splines \u2013 Interpolation with equal intervals \u2013 Newton\u2019s forward and backward\u00a0difference formulae.<\/p>\n
\nApproximation of derivatives using interpolation polynomials \u2013 Numerical integration using\u00a0Trapezoidal, Simpson\u2019s 1\/3 rule \u2013 Romberg\u2019s method \u2013 Two point and three point Gaussian\u00a0quadrature formulae \u2013 Evaluation of double integrals by Trapezoidal and Simpson\u2019s 1\/3 rules.<\/p>\n