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MCA 1 SEM. Subject: Programming Based Numerical Analysis
Unit – 1 Algebraic Equation Computer Arithmetic – Floating point Numbers Operations Normalization and their consequences. Iterative Methods – Roots of a Single transcendental equations and roots of Polynomials using Bisection Method , False position Method , Newton Raphson Method.
Unit – 2 Simultaneous Algebraic Equation Gauss Elimination Method, Gauss-Jordan Method, Factorization Method, Jacobi’s Iteration Method, Gauss- seidal Iteration Method. Matrix Inversion & Eigen Value: Gauss Jordan Method, Factorization Method and Eigen Vectors.
Unit – 3 Interpolations Polynomials interpolation, Newton Method. Lagrange’s Interpolation Formula and difference tables. Least Square Approximations- Linear regression only.
Unit – 4 Differentiation and Integration Formula for Numerical Differentiation and Numerical integration by Trapezoidal Rule and Simpson’s rule only.
Unit – 5 Numerical Solution of Differential Equation Euler’s Method, Taylor series Method, Runge-Kutta Method.
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