Electrical Engineering Syllabus Revised Upto 6th Semester 2007
IT Syllabus Upto Final Year
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NUMERICAL METHODS-IT 3 RD YEAR UNIT I SOLUTION OF EQUATIONS AND EIGEN VALUE PROBLEMS 9 Linear Interpolation Methods (Method of False Position) ± Newton¶s Method ± Statement of Fixed Point Theorem ± Fixed Point Iteration: X = G(X) Method ± Solution of Linear System by Gaussian Elimination and Gauss Jordon Methods ± Iterative Methods: Gauss Jacobi and Gauss ± Seidel Methods ± Inverse of a Matrix by Gauss Jordon Method ± Ei gen value of a Matrix by Power Method. UNIT II INTERPOLATION AND APPROXIMATION 9 Lagrangian Polynomials ± Divided Differences ± Interpolating with a Cubic Spline ± Newton¶s Forward and Backward Difference Formulas. UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION 9 Derivatives from Difference Tables ± Divided Differences and Finite Differences ±Numerical Integration by Trapezoidal and Simpson¶s 1/3 and 3/8 Rules ± Romberg¶s Method ± Two and Three Point Gaussian Quadrature Formulas ± Double Integrals using Trapezoidal and Simpson¶s Rules. UNIT IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS 9 Single Step Methods ± Taylor Series Method ± Euler and Modified Euler Methods ± Fourth Order Runge Kutta Method for Solving First and Second Order Equations ± Multistep Methods ± Milne¶s and Adam¶s Predictor and Corrector Methods. UNIT V BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS 9 Finite Difference Solution of Second Order Ordinary Differential Equation ± Finite Difference Solution of One Dimensional Heat Equation by Explicit and Implicit Methods ± One Dimensional Wave Equation and Two Dimensi onal Laplace and Poisson Equations. L: 45 T: 15 Total: 60 TEXT BOOKS 1. C. F. Gerald and P. O. Wheatley, ³Applied Numerical Analysis´, 6th Edition, Pearson Education, 2002. 2. E. Balagurusamy, ³Numerical Methods´, Tata McGraw - Hill Pub. Co. Ltd., 1999. REFERENCES 1. P. Kandasamy, K. Thilagavathy and K. Gunavathy, ³Numerical Methods´, S. Chand Co. Ltd., 2003.
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