Course Weekly Lecture Plan

Week	Topic
1	Introduction and error analysis
2	Root finding methods for non-linear equations Bisection, Newton-Raphson, Secant, Regula falsı, Müller and Fixed Point Iteration Methods
3	Solution of system of linear equations Direct methods: Gauss elimination, Gauss-Jordan, Cramer, LU Deomposition (Doliitle, Crout, Cholesky) Iterative methods; Gauss-Jacobi, Gauss-Seidel
4	Eigenvalue and eigenvector problems Power, Inverse-power, Power-Split, Trace methods
5	Eigenvalue and eigenvector problems Power, Inverse-power, Power-Split, Trace methods
6	Interpolation and extrapolation Polynomials, Lagrange, Hermit and Newton divided difference methods
7	Interpolation and extrapolation Finite Differences Forward, Backward and Central finite differences
8	Interpolation and extrapolation Cubic Spline, Least Squares Method and linearization
9	Numerical Differentiation First and high order differentiation, Lagrange 3 and 5 points formulations, Richardson method
10	Numeric Integration Newton-Code formulations: Trapezoidal, Simpson 1/3, Simpson 3/8 methods
11	Numerical solutions of ordinary differential equations Taylor and Euler methods, Method of Runge-Kutta second order
12	Numerical solutions of ordinary differential equations Runge-Kutta second order methods: Euler-Caucy's, Heun's and Polygon methods Method of Runge-Kutta forth order
13	Numerical solutions of systems of ordinary differential equations Euler's and Runge-Kutta's methods
14	Numerical solutions of ordinary differential equations The solution of high order equations by using Euler's and Runge-Kutta's methods

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