Week |
Subject |
Related Preparation |
1) |
Introduction to Numerical Analysis, Concept of Error, Truncation Error and Machine Numbers, Error Analysis, Errors in Arithmetic Operations |
Lecture Notes |
2) |
Numerical Methods to Find the Approximate Root of the Equation, Bisection Method, Regula-False Method, Secant Method |
Lecture Notes |
3) |
Newton-Raphson Method, Fixed Point Concept, Fixed Point Iteration Method |
Lecture Notes |
4) |
Linear Equation Systems and Their Solution Methods: Gauss Elimination Method, Gauss-Jordan Method, Cramer Method, Multiplication Method with the Inverse of the Coefficients Matrix |
Lecture Notes |
5) |
Solution Methods of Systems of Linear Equations: LU Decomposition Method, Doolitle Method, Crout Method, Cholesky Method |
Lecture Notes |
6) |
Iterative Methods, Convergence of Iterative Methods, Jacobi Method, Gauss-Siedel Method |
Lecture Notes |
7) |
Nonlinear Equation Systems and Solutions: Simple Iteration Method, Newton Method |
Lecture Notes |
8) |
Midterm |
Lecture Notes |
9) |
Interpolation (Curve Fitting) |
Lecture Notes |
10) |
Lagrange Polynomials and Lagrange Interpolation |
Lecture Notes |
11) |
Divided Differences (Newton) Interpolation, Least Squares Method |
Lecture Notes |
12) |
Numerical Derivative Concept and Numerical Derivative Calculation Methods |
Lecture Notes |
13) |
Numerical Integral Concept and Numerical Integral Calculation Methods |
Lecture Notes |
14) |
Trapezoidal Rule, Simpson's Rule, Open Newton-Cotes Formulas, Composite Trapezoidal Rule, Composite Simpson's Rule |
Lecture Notes |
15) |
Final Exam |
Lecture Notes |
Course Notes / Textbooks: |
Numerical Analysis, Richard L. Burden (Author), J. Douglas Faires (Author), Annette M. Burden (Author), Pearson.
Sayısal Çözüm, Steven C. Chapra, Raymond P. Canale (Çev. H. Heperkan ve U. Kesgin),“Yazılım ve Programlama Uygulamalarıyla Mühendisler İçin Sayısal Yöntemler”, Literatür Yayıncılık. |
References: |
Uğur Arifoğlu, "Matlab 9.8 ve Sayısal Uygulamaları", Alfa Yayıncılık, 2020. |