1.  Solution of nonlinear and linear equations system using Newton Methods and iterative methods: Jacobi Iteration Method, Gauss-Seidel Method, Relaxation Method.

2. Interpolation: Hermite interpolation, splines, trigonometric interpolation, Fast Fourier Transform, multivariable function interpolation, function approximation Theory,

3.  Numerical Integral: Newton-Cotes method and Romberg method, Gaussian quadrature, Improper integrals,

4. Numerical Solution Ordinary Differential Equations: Runge-Kutta Methods, Multistep Methods

5. Numerical for Partial Differential Equations: Finite Difference Methods  and Finite Element Method.