Preliminaries: Approximation, Truncation, Round-off errors in computations.
Solution of Nonlinear Equations . Fixed Point . Bracketing Methods for Locating a Root
Initial Approximation and Convergence Criteria . Newton-Raphson and Secant Methods.
Iteration for Non-Linear Systems (Fixed Point for Systems) . Newton Methods for Systems.
Solution of Linear Systems . Upper-Triangular Linear Systems (Lower-Triangular) . Gaussian Eliminatian and Pivoting.
Triangular Factorization (LU).
Doğrusal sistemler için iteratif metotlar (Jacobi / Gauss Seidel Metotları).
Eigenvalues and Eigenvectors 11.2. Power Method (Inverse Power Method)
Interpolation and Polynomial Approximation . Introduction to Interpolation . Lagrange Approximation and Newton Approximationpp.
Curve Fitting . Least-squares Line.
Spline fonksiyonları ile interpolasyon.
Numerical Differentiation . Approximating the Derivative . Numerical Differentiation Formulas.
Numerical Integration . Introduction to Quadrature . Composite Trapezoidal and Simpson’s Rule.
Matematik Öğretmeni…
ODTÜ mezunundan universite öğrencilerine Calculus, Differential Equations vb dersler veriyorum. İletişime geçmek için mesaj atabilirsiniz. En kısa sürede sizlere dönü sağlarım.