Engg Maths
Birla Institute of Technology Mesra, Patna Extension
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Numerical Techniques
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Errors and approximation; Bisection method ; Regula falsi ; Secant; Newton raphson; Rate of convergence; Solution of system of LE:Gauss elimination, Gauss jordan, LU Decomposition,Gauss jacobi, Gauss seidel ; Eigen value and eigen vectors; Interpolation:Newton's forward, backward, divided difference, Lagrange's; Soln of ODE, Numerical integration
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Numerical Techniques 3
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Numerical differentiation; Numerical integration; Solution of ODE: Euler's method, Euler's modified method, Runge kutta 4th order, Taylor's method, Milne's predictor-corrector
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Numerical Techniques 2
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Solution of system of LE: 1) Direct methods: Gauss elimination, Gauss jordan, LU Decomposition/Crout's method 2) Iterative methods: Gauss jacobi, Gauss seidel ; Eigen value and eigen vectors; Interpolation: 1) Equal interval : Newton's forward difference, Newton's backward difference, Stirling central difference 2) Unequal interval : Lagrange's Interpolation, Newton's divided difference
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Numerical Techniques 1
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Errors and Approximation; Transcendental and polynomial eqn: Fixed point iteration, Bisection Method, Regula falsi, Secant method, Newton-Raphson, Rate of convergence
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