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Define Round off errors
Floating point arithmetic
Define Convergence
2 - Numerical solution (Root finding method)Bisection method
Newton-Raphson method
Regula-Falsi Method
Fixedpoint iteration
Define Computing roots of polynomials
3 - Interpolation and Polynomial MethodLagrange Polynomial method
Divided Differences method
Newton’s Forward-Difference method
Backward-Difference Formulas method
4 - Iterative MethodsGauss Jacobi Methods
Gauss-Seidel Iterative Methods
Guess Elimination Methods
5 - Numerical integrationTrapezoidal rule and Simpson’s Rule
Gaussian Quadrature
Maclaurin method
6 - Applied Linear AlgebraDefine Direct methods for solving linear systems
Numerical factorizations Methods
Eigen value problems Methods
7 - I V P problems for ODEEuler’s method
Taylor method
Runge - Kutta method