ME 371 • Tüm Sınavlar • Numerical Methods in Mechanical Engineering
ME371 Numerical Methods 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.
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
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
Fall-2023 Midterm-1
4 soru
Taylor Polynomial Approximations
Bisection Method
Base Conversions
Newton Raphson Method
(EXCLUSIVE!) Fall-2024 Midterm-1
4 soru
Base Conversion
Fixed Point Iteration Method
Taylor Series Approximation
False Position Method
Exam Practice Problems
14 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
Formula Sheet for All Chapters
Formula Sheet for All Chapters
Solution of Linear and Nonlinear Systems
5 konu anlatımı · 7 soru
Exam Like Problem: Gauss Seidel Method
Exam Like Problem: Newton's Method
Definitions, Upper-Triangular Linear Systems
Gaussian Elimination and Pivoting
Triangular Factorization (LU Decomposition, Permutation)
Exam Like Problem: LU Decomposition
Iterative Methods for Linear Systems (Jacobi and Seidel Methods)
Iterative Methods for Nonlinear Systems (Newton's Method)
Exam Like Problem: Gauss Seidel Method
Exam Like Problem: Gauss Elimination Method
Exam Like Problem: Gauss Jacobi and Gauss Seidel Methods
Exam Like Problem: Newton's Method
Interpolation and Curve Fitting
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 Integration
4 konu anlatımı · 8 soru
Introduction to Quadrature and Interactive Web Tool
Midpoint Methods
Exam Like Problem: Midpoint Method
Exam Like Problem: Midpoint Method
Exam Like Problem: Midpoint Method and Error
Trapezoidal Method
Exam Like Problem: Trapezoidal Method
Simpson’s Method
Exam Like Problem: Simpson's Method
Exam Like Problem: Simpson's Method
Exam Like Problem: Composite Methods
Exam Like Problem: Composite Methods
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
Exam Practice Problems
35 soru
MatLAB
Numerical Differentiation
Newton's Divided Difference Table
Data Linearization
Gauss Jacobi Method
Gauss Seidel Method For Linear Systems
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
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
(EXCLUSIVE!) Fall-2024 Final
2 soru
Quadratic Spline Interpolation
MatLAB
Fall-2023 Midterm-2
4 soru
Data Linearization
Gauss Seidel Method
LU Decomposition
Interpolating Polynomials (Newton's Difference Table)
Fall-2023 Final
6 soru
Numerical Differentiation
Simpson's 1/3 Method
Newton Raphson Method
Composite Trapezoidal Method
Numerical Differentiation
Round Off Errors due to Significant Figures
Fall-2020 Final
2 soru
Data Linearization
Secant Method
Formula Sheet for All Chapters
Formula Sheet for All Chapters