MATH 310 • Midterm II + Final • Numerical Methods in Engineering
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.
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
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
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
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
Eigenvalues and Eigenvectors
3 konu anlatımı · 4 soru
Analytical Solution of an Eigen Value Problem (EVP)
Power Method
Exam Like Problem: Power Method
Exam Like Problem: Power Method
Exam Like Problem: Power Method
Inverse Power Method
Exam Like Problem: Inverse Power Method
Exam Practice Problems
48 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
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
Gauss Seidel Method
Data Linearization
LU Decomposition
Interpolating Polynomials (Newton's Difference Table)
Simpson's 1/3 Method
Numerical Differentiation
Newton Raphson Method
Numerical Differentiation
Round Off Errors due to Significant Figures
Composite Trapezoidal Method
Data Linearization
Secant Method
Euler Method for Higher Order Systems
Formula Sheet for All Chapters
Formula Sheet for All Chapters
Paketi Tamamla
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