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Numerical Analysis: Numerical solution of algebraic & transcendental equations, bisection, secant method, Newton-Raphson method, Fixed point iteration, Interpolation: Lagrange, Newton, Hermite interpolations, Numerical differentiation and integration, Trapezoidal & Simpson rules, Quadrature rules, Numerical solution of system of linear equations, direct and iterative methods, Numerical solutions of ordinary differential equations, initial value problems, Taylor series methods, Runge-Kutta methods.