MATH 380 • Tüm Sınavlar • Numerical Methods for Engineers
MATH380 Numerical Methods For Engineers 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. Bu pakette Midterm-1'e dahil olan tüm konular şu şekilde: Intdoduction Preliminaries: Approximation, Truncation, Round-off errors in computations. Solution of Nonlinear Equations Iteration for Solving x=g(x) (Fixed point iteration) Bracketing Methods for Locating a Root (Bisection and False Position Method) Newton-Raphson, Accelerated Newton Raphson and Secant Methods Solution of Linear Systems Upper-Triangular Linear Systems (Lower-Triangular) Gaussian Elimination and Pivoting Triangular Factorization (LU Decomposition and Permutation matrices) Iterative Methods for Linear Systems (Jacobi / Gauss Seidel Methods) Iterations for Nonlinear Systems: Newton’s Method
Ayda 666 TL, peşin fiyatına 3 taksit
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
MATH380 Dersini Fethetmek!
Error Definitions and Calculators
2 konu anlatımı
Error Definitions
Important Warning about your calculator!
Types of Errors in Numerical Procedures
2 konu anlatımı · 3 soru
Truncation Errors and Taylor's Theorem
Exam Like Question: Taylor's Polynomial
Round-off Errors and Loss of Significance
Exam Like Question: Rounding and Chopping
Exam Like Question: Loss of Significance
Math. Review: Basic Matrix Operations
1 konu anlatımı
Basic Matrix Operations (Important)
Solution of Non-Linear Equations: Root Finding
6 konu anlatımı · 8 soru
Solution of Non-Linear Equations: Root Finding
Fixed Point Iteration Method
Exam Like Problem: Fixed Point Iteration (Fall 2019)
Newton Raphson and Accelerated Newton Raphson Methods
Exam Like Problem: Newton Raphson Method (Fall 2018)
Exam Like Problem: Newton Raphson Method (Fall 2021)
Exam Like Problem: Newton Raphson Method (Spring 2021)
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 (Fall 2020)
Exam Like Problem: Bisection and Newton Raphson Method (Fall 2019)
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 (Spring 2021)
Iterative Methods for Linear Systems (Jacobi and Seidel Methods)
Exam Like Problem: Gauss Jacobi and Gauss Seidel Methods
Exam Like Problem: Gauss Seidel Method (Fall 2019)
Exam Like Problem: Gauss Seidel Method (Fall 2021)
Iterations for Nonlinear Systems (Newton's Method)
Exam Like Problem: Newton's Method
Exam Like Problem: Newton's Method (Fall 2020)
Interpolation and Curve Fitting
6 konu anlatımı · 7 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 (Fall 2019)
Exam Like Problem: Newton's Divided Difference Table (Fall 2021)
Exam Like Problem: Lagrange and Newton Method (Fall 2019)
Exam Like Problem: Lagrange and Newton Method (Fall 2019)
Interpolation by Spline Functions (Cubic Splines)
Exam Like Problem: Spline Interpolation
Exam Like Problem: Spline Interpolation (Fall 2021)
Least Squares Line and Polynomial: Curve Fitting by Regression
Exam Like Problem: Least Squares Line
(EXCLUSIVE!) Spring 2026 Midterm Exam
6 soru
Accelerated Newton Raphson Method
Least Squares Line
Conceptual Problems, Jacobian Matrix
LU Decomposition
Newton's Divided Difference Method
MatLAB
Fall 2025 Midterm-1 Exam
6 soru
Bisection Method
Gauss Seidel Method
MathLAB
Conceptual Questions
Lagrange Polynomial Interpolation, Least Squares Line
Newton's Method for Nonlinear Equation Systems
Summer 2025 Midterm Exam
5 soru
Fixed Point Iteration Method
Newton's Divided Difference Table
Conceptual Problems
Newton Raphson Method
Gauss Seidel Method
Spring 2025 Midterm-1 Exam
6 soru
Newton Raphson Method
Gauss Seidel Method For Linear Systems
Newton's Method for Nonlinear Systems
Conceptual Questions
MatLAB
MatLAB
Fall 2024 Midterm-1 Exam
4 soru
MatLAB, Relative Error
Fixed Point Iteration
LU Factorization and Solution
Secant Method
Spring 2024 Midterm-1 Exam
5 soru
MatLAB
MatLAB
Fixed Point Iteration
LU Factorization and Solution
Newton Raphson and Accelerated NR Method
Formula Sheet for All Chapters
Formula Sheet for All Chapters
Numerical Differentiation
3 konu anlatımı · 7 soru
Numerical Differentiation Formulas
Exam Like Problem: Numerical Derivative by Taylor Series (Fall 2021)
Exam Like Problem: Approximating the Derivative
Richardson's Extrapolation
Exam Like Problem: Richardson's Extrapolation
Numerical Solution of ODEs (Euler’s Method)
Exam Like Problem: Euler’s Method (Fall 2021)
Exam Like Problem: Euler’s Method (Fall 2019)
Exam Like Problem: Euler’s Method (Spring 2021)
Exam Like Problem: Euler’s Method (Fall 2020)
Numerical Integration
4 konu anlatımı · 8 soru
Introduction to Quadrature and Interactive Web Tool
Midpoint Methods
Exam Like Problem: Midpoint Method (Spring 2021)
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 (Fall 2021)
Exam Like Problem: Composite Methods (Fall 2019)
Exam Like Problem: Composite Methods (Fall 2020)
Eigenvalues and Eigenvectors
3 konu anlatımı · 4 soru
Analytical Solution of an Eigen Value Problem (EVP)
Power Method
Exam Like Problem: Power Method (Fall 2021)
Exam Like Problem: Power Method (Spring 2021)
Exam Like Problem: Power Method (Fall 2019)
Inverse Power Method
Exam Like Problem: Inverse Power Method
Spring 2024 MATH380 Midterm-2 Exam
5 soru
MatLAB
Bezier Curve
Numerical Differentiation
Newton's Divided Difference Table
Data Linearization
Fall 2024 MATH380 Midterm-2 Exam
5 soru
Gauss Jacobi Method
Lagrange Interpolating Polynomials
MatLAB
Numerical Differentiation
Least Squares Line
Spring 2025 MATH380 Midterm-2 Exam
5 soru
Lagrange Interpolating Polynomials
MatLAB
Numerical Differentiation, Divided Difference
Cubic Splines
Data Linearization
Spring 2023 MATH380 Final Exam
5 soru
MatLAB
Short Conceptual Problems
Gauss Elimination with Partial Pivoting
Newton Raphson Method
Lagrange Interpolating Polynomials
Fall 2024 MATH380 Final Exam
7 soru
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
Spring 2025 MATH380 Final Exam
9 soru
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
Fall 2025 MATH380 Final Exam
7 soru
Newton Raphson Method
Euler's Method
Data Linearization for Least Squares Line
Inverse Power Method
Simpson's Method
Conceptual Multiple Choice Problems
MatLAB
Formula Sheet for All Chapters
Formula Sheet for All Chapters