Ders Akışı

Hafta Konular ÖnHazırlık
1 Introduction to numerical analysis. Logical of the algorithm. Introduction to complex analysis (on the chartezian coordinates)
2 Forming of algorithm and introduce of subunits of algorithm. Complex numbers on polar coordinates
3 Matrix and matrix calculations, trigonometric functions on complex plane.
4 Matrix and matrix calculations (continue)., logaritmic functions on complex plane, power of complex numbers, finding complex roots
5 Solution methods of the linear equations systems, geometric meaning of complex numbers, complex series.
6 Solution methods of the nonlinear equations systems, convergency and unconvergenc of complex series, Cauchy theorem.
7 Solution methods of the nonlinear equations systems (continue), limit of complex series, continuity on complex plane
8 Curve fitting methods, interpolation methods and extrapolation methods, conditions of derivation on complex plane
9 Curve fitting methods, interpolation methods and extrapolation methods (continue).Cauchy- Riemann equations,
10 Numerical methods of integration. Integration of complex functions
11 Numerical methods of integration. Integration of complex functions (continue)
12 Numerical methods of derivation, Cauchy integral formula
13 Numerical methods of differantation equations (continue). Cauchy derivation formula, Residue calculation
14 Application of Residue theorem to calculation of reel integrals

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