MATH 311 • Tüm Sınavlar • Numerical Analysis Techniques
MAT311 dersi artık senin için çok daha kolay! Dersin tüm içeriği baştan sona yenilendi ve Gürkan Hoca’nın özel anlatımıyla hazırlandı.
Zor gibi görünen konular bile adım adım, anlaşılır örneklerle öğrenmeni sağlayacak. Endişelenme, bu dersle hem sınavlara güvenle hazırlanacak hem de konuları gerçekten kavrayacaksın.
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Eğitmen
Gürkan Hoca
Öğr. Üy.
Orta Doğu Tekn. Üni.'den derece ile mezun olduktan sonra yüksek lisans ve doktora çalışmalarımı da yurt dışında tamamladım. Ardından aynı üniversitede öğretim üyesi olarak görev yaptım. Üniversite öğrencisi olmanın ne demek olduğunu unutmayarak, dersleri öğrencilerimin gözünden anlatmanın ve onlara özel anlama yolları geliştirmenin önemini çok iyi biliyorum. Öğretmenin aslında bir "sanat" olduğunu biliyorum ve bu sanatı sizlere gösterebilmek için buradayım.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Introduction
2 konu anlatımı
Introduction
Nümerik Dersini Fethetmek!
Error Definitions and Calculators
2 konu anlatımı
Error Definitions
Important Warning about your calculator!
Math. Review: Basic Matrix Operations
1 konu anlatımı
Basic Matrix Operations (Important)
Solution of Non-Linear Equations: Root Finding
7 konu anlatımı · 10 soru
Solution of Non-Linear Equations: Root Finding
Fixed Point Iteration Method
Exam Like Problem: Fixed Point Iteration
Newton Raphson and Accelerated Newton Raphson Methods
Exam Like Problem: Newton Raphson Method
Exam Like Problem: Newton Raphson Method
Exam Like Problem: Newton Raphson Method
The Secant Method
Exam Like Problem: Secant Method
Existence of Root for Bracketing Methods
Bisection Method
Exam Like Problem: Bisection Method
Exam Like Problem: Bisection Method
Exam Like Problem: Bisection and Newton Raphson Method
False Position (Regula Falsi) Method
Exam Like Problem: Regula Falsi Method
Exam Like Problem: Regula Falsi Method
Solution Linear and Nonlinear Systems
5 konu anlatımı · 7 soru
Definitions, Upper-Triangular Linear Systems
Gaussian Elimination and Pivoting
Exam Like Problem: Gauss Elimination Method
Triangular Factorization (LU Decomposition, Permutation)
Exam Like Problem: LU Decomposition
Iterative Methods for Linear Systems (Jacobi and Seidel Methods)
Exam Like Problem: Gauss Jacobi and Gauss Seidel Methods
Exam Like Problem: Gauss Seidel Method
Exam Like Problem: Gauss Seidel Method
Iterative Methods for Nonlinear Systems (Newton's Method)
Exam Like Problem: Newton's Method
Exam Like Problem: Newton's Method
Interpolation and Curve Fitting
8 konu anlatımı · 11 soru
Introduction and Interactive Web Tool
Introduction to Polynomial Interpolation
Lagrange Approximation (Lagrange Interpolating Polynomial)
Newton Polynomials and Divided Difference Table
Exam Like Problem: Lagrange Interpolation
Exam Like Problem: Newton's Divided Difference Table
Exam Like Problem: Lagrange and Newton Method
Exam Like Problem: Lagrange and Newton Method
Interpolation by Spline Functions (Cubic Splines)
Exam Like Problem: Spline Interpolation
Exam Like Problem: Spline Interpolation
Least Squares Line and Polynomial: Curve Fitting by Regression
Exam Like Problem: Least Squares Line
Exam Like Problem: Least Squares Parabola
Data Linearization
Exam Like Problem: Data Linearization
Exam Like Problem: Data Linearization
Exam Like Problem: Data Linearization
Bezier Curve
Sınav Provası - I
6 soru
Taylor Polynomial Approximations
Newton's Method for Nonlinear Systems
False Position Method
Uncertainty Analysis
Conceptual Question-1
Conceptual Question-2
Sınav Provası - II
5 soru
Bisection Method
Gauss Seidel Method
MathLAB
Conceptual Questions
Newton's Method for Nonlinear Equation Systems
Sınav Provası - III
4 soru
Taylor Polynomial Approximations
Bisection Method
Base Conversions
Newton Raphson Method
Exam Practice Problems
15 soru
MatLAB
MatLAB
Fixed Point Iteration
LU Factorization and Solution
Newton Raphson and Accelerated NR Method
MatLAB, Relative Error
Fixed Point Iteration
LU Factorization and Solution
Newton Raphson Method
Gauss Seidel Method For Linear Systems
Newton's Method for Nonlinear Systems
Conceptual Questions
MatLAB
MatLAB
Gauss Jacobi Method
Formula Sheet for All Chapters
Formula Sheet for All Chapters
Curve Fitting and Interpolation
8 konu anlatımı · 11 soru
Introduction and Interactive Web Tool
Simple Linear Regression and Polynomial Regression
Exam Like Problem: Simple Linear Regression
Exam Like Problem: Polynomial Regression
Introduction to Interpolation
Lagrange Polynomial Interpolation
Newton’s Divided-Differences
Exam Like Problem: Lagrange Interpolation
Exam Like Problem: Newton's Divided Difference Table
Exam Like Problem: Lagrange and Newton Method
Exam Like Problem: Lagrange and Newton Method
Spline Interpolation
Exam Like Problem: Spline Interpolation
Exam Like Problem: Spline Interpolation
Data Linearization
Exam Like Problem: Data Linearization
Exam Like Problem: Data Linearization
Exam Like Problem: Data Linearization
Bezier Curve
Numerical Differentiation
2 konu anlatımı · 3 soru
Numerical Differentiation Formulas
Exam Like Problem: Numerical Derivative by Taylor Series
Exam Like Problem: Approximating the Derivative
Richardson's Extrapolation
Exam Like Problem: Richardson's Extrapolation
Solution of Ordinary Differential Equations
4 konu anlatımı · 7 soru
Numerical Solution of ODEs with Euler’s Method
Exam Like Problem: Euler’s Method
Exam Like Problem: Euler’s Method
Exam Like Problem: Euler’s Method
Exam Like Problem: Euler’s Method
Heun's Method
Exam Like Problem: Heun's Method
Midpoint Method
Exam Like Problem: Midpoint Method
System of ODEs and Higher Order ODEs
Exam Like Problem: Higher Order ODEs
Exam Practice Problems
36 soru
MatLAB
Numerical Differentiation
Newton's Divided Difference Table
Data Linearization
Gauss Jacobi Method
Lagrange Interpolating Polynomials
MatLAB
Numerical Differentiation
Least Squares Line
Lagrange Interpolating Polynomials
MatLAB
Numerical Differentiation, Divided Difference
Cubic Splines
Data Linearization
MatLAB
Short Conceptual Problems
Gauss Elimination with Partial Pivoting
Newton Raphson Method
Lagrange Interpolating Polynomials
Lagrange Polynomial Interpolation, Least Squares Line
Accelerated Newton Raphson Method
Composite Midpoint and Simpson Methods
Inverse Power Method
Euler's Method
MatLAB
Order of a Root (Conceptual Problem)
Strictly Diagonally Dominant Matrices
Fixed Point Iteration Method
MatLAB
Numerical Integral and Composite Midpoint Method
Euler's Method
Strictly Diagonally Dominant Matrices
Data Linerization
Floating Point Representation (Conceptual Problem)
Jacobian Matrix of a Nonlinear System
Power Method
Sınav Provası - I
4 soru
Data Linearization
Gauss Seidel Method
LU Decomposition
Interpolating Polynomials (Newton's Difference Table)
Sınav Provası - II
6 soru
Numerical Differentiation
Simpson's 1/3 Method
Newton Raphson Method
Composite Trapezoidal Method
Numerical Differentiation
Round Off Errors due to Significant Figures
Sınav Provası - III
3 soru
Data Linearization
Secant Method
Euler Method for Higher Order Systems
Formula Sheet for All Chapters
Formula Sheet for All Chapters