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1. Modeling, numerical approaches and error analysis
2. Round of errors, Truncation errors and Taylor series
3. Roots of equations, bracketing and open methods
4. Methods to find roots of polynomials
5. Solving sets of linear equations: Gauss Eliminations Method, etc.
6. LU decomposition, matrix inverse
7. Special matrices, Gauss-Seidel Method
8. Newton-Coates, Gauss-Legendre integration methods
9. Interpolation
10. Review of previous topics
11. Numerical differentiation
12. Engineering applications for numerical differentiation
13. Ordinary Differential Equations, Runge-Kutta Methods
14. Boundary value problems |