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1 Root Finding Problems, Bisection, Newton, Secant, Regula Falsi, and Error Analysis
2 Root Finding Problems, Fixed Point, Müller’s Methods, Solution Of Nonlinear Systems, Newton-Raphson Method, Applications with Up-To-Date Programing Languages
3 Interpolation and Extrapolation, Lagrange, Newton-Divided Difference Methods
4 Interpolation and Extrapolation, Divided Difference Methods, Forward, Backward and Central
5 Interpolation and Extrapolation, Chebyshev Polynomials, Best Approximation Theorem, Applications with Up-To-Date Programing Languages
6 Curve Fitting, Cubic Spline, Least-Squares Method, Applications with Up-To-Date Programing Languages
7 Numerical Differentiation, Forward, Backward, Central, 3 and 5-Point Methods
8 Numerical Differentiation, 3 and 5-Point Methods, Richardson Extrapolation
9 Numerical Integration, Trapezoidal Method and Error Analysis
10 Numerical Integration, Simpson’s (1/3, 3/8) Methods and Error Analysis
11 Numerical Integration, Gauss Quadrature’s, Applications with Up-To-Date Programing Languages
12 Numerical Solution of Ordinary Differential Equations, Euler’s Method
13 Numerical Solution of Ordinary Differential Equations, Runge-Kutta Methods
14 Numerical Solution of System Of Ordinary Differential Equations, Applications with Up-To-Date Programing Languages |