-S.SIVARAJA Dept of MATHEMATICS.  N-NUMERICAL  M-METHODS EASY TO LEARN & EASY TO SCORE.

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Presentation transcript:

-S.SIVARAJA Dept of MATHEMATICS

 N-NUMERICAL  M-METHODS EASY TO LEARN & EASY TO SCORE

Staff name SARANYA.P Subject code MA1257 Semester Five

 unittopichours I SOLUTION OF EQUATIONS AND EIGEN VALUE PROBLEMS 9 II INTERPOLATION AND APPROXIMATION 9 III NUMERICAL DIFFERENTIATION AND INTEGRATION 9 IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS 9 V BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS 9

UNIT-I SOLUTIONS OF EQUATIONS & EIGEN VALUE PROBLEMS UNIT-I SOLUTIONS OF EQUATIONS & EIGEN VALUE PROBLEMS

FALSE POSITION METHOD NEWTON’S METHOD FIXED POINT ITERATION METHOD GAUSS ELIMINATION METHOD GAUSS JORDAN METHOD GAUSS JACOBI METHOD GAUSS SIEDEL METHOD INVERSE OF A MATRIX-GAUSS JORDAN METHOD POWER METHOD

UNIT-II INTERPOLATION & APPROXIMATION

Lagrangian polynomials Divided Differences Newton’s Forward and Backward Difference Formulas. Interpolating with a Cubic Spline Newton’s Forward and Backward Difference Formulas.

III UNIT NUMERICAL DIFFERENTIATION AND INTEGRATION TOPIC

Numerical Differentiation Derivatives from Difference Tables Divided Differences and Finite Differences

Numerical Integration Trapezoidal rule 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-IVIVP FOR ODE

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 Predictor Method Milne’s Corrector Method Adam’s Predictor Method Adam’s Corrector Method

UNIT-VBVP in ODE & PDE

Finite Difference Solution of Second Order Ordinary Differential Equation One Dimensional Heat Equation by Explicit and Implicit Methods One Dimensional Wave Equation and Two Dimensional Laplace and Poisson Equations.

LESSON PLAN LESSON PLAN UNIT NO.AS PER SYLLABUSTEACHING PLAN I II III IV v9+3

TEXT BOOK TEXT BOOK C. F. Gerald and P. O. Wheatley, “Applied Numerical Analysis”, 6th Edition, Pearson Education, E. Balagurusamy, “Numerical Methods”, Tata McGraw - Hill Pub. Co. Ltd., 1999

REFERENCE BOOK REFERENCE BOOK P. Kandasamy, K. Thilagavathy and K. Gunavathy, “Numerical Methods”, S. Chand Co. Ltd., R. L. Burden and T. D. Faires, “Numerical Analysis”,7th Edition, Thomson Asia Pvt. Ltd., 2002

RECORDS TO BE MAINTAINED RECORDS TO BE MAINTAINED

CALCULATOR PROBLEMS