ME 214 • Midterm • Numerical Methods for Engineers
ME214 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.
Paketi Tamamla
🎓 Özyeğin Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
ME 214 • Midterm
Numerical Methods for Engineers
Gürkan Hoca
1999 TL
ME 214 • Final
Numerical Methods for Engineers
Gürkan Hoca
1999 TL
Konular
Introduction
Introduction
Nümerik Dersini Fethetmek!
Math. Review: Basic Matrix Operations
Basic Matrix Operations (Important)
Error Definitions and Calculators
Error Definitions
Important Warning about your calculator!
Taylor's Polynomial Expansion
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
Taylor Polynomial Approximations
Taylor Expansion
Taylor Polynomial
Taylor Polynomial Approximations
Taylor Series Approximation
Solution of Non-Linear Equations: Root Finding
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
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
Sınav Provası - I
Taylor Polynomial Approximations
Newton's Method for Nonlinear Systems
False Position Method
Uncertainty Analysis
Conceptual Question-1
Conceptual Question-2
Sınav Provası - II
Bisection Method
Gauss Seidel Method
MathLAB
Conceptual Questions
Newton's Method for Nonlinear Equation Systems
Sınav Provası - III
Base Conversion
Fixed Point Iteration Method
Taylor Series Approximation
False Position Method
Extra Practice Problems
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
Taylor Polynomial Approximations
Bisection Method
Base Conversions
Newton Raphson Method
Formula Sheet for All Chapters
Formula Sheet for All Chapters
Değerlendirmeler
Henüz hiç değerlendirme yok.
Ders İçeriği
Introduction
Introduction
Nümerik Dersini Fethetmek!
Math. Review: Basic Matrix Operations
Basic Matrix Operations (Important)
Error Definitions and Calculators
Error Definitions
Important Warning about your calculator!
Taylor's Polynomial Expansion
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
Taylor Polynomial Approximations
Taylor Expansion
Taylor Polynomial
Taylor Polynomial Approximations
Taylor Series Approximation
Solution of Non-Linear Equations: Root Finding
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
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
Sınav Provası - I
Taylor Polynomial Approximations
Newton's Method for Nonlinear Systems
False Position Method
Uncertainty Analysis
Conceptual Question-1
Conceptual Question-2
Sınav Provası - II
Bisection Method
Gauss Seidel Method
MathLAB
Conceptual Questions
Newton's Method for Nonlinear Equation Systems
Sınav Provası - III
Base Conversion
Fixed Point Iteration Method
Taylor Series Approximation
False Position Method
Extra Practice Problems
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
Taylor Polynomial Approximations
Bisection Method
Base Conversions
Newton Raphson Method
Formula Sheet for All Chapters
Formula Sheet for All Chapters
Sıkça Sorulan Sorular
Örneğin, Koç Üniversitesi - MATH 101 (Calculus) veya başka bir okulun benzer dersi olsun, paketlerimiz tam da o derse göre tasarlanır. Böylece nokta atışı çalışır, zaman kazanırsın.
Sınava özel videolar —konu anlatımları, çıkmış sorular ve çözümleri, özet notlar—içerir. Sınavda sıkça çıkan soruları hedefler. Eğitmenlerimiz, üniversitenin akademik takvimini takip ederek paketleri sürekli günceller. Böylece, gereksiz detaylarla vakit kaybetmeden başarını artırmaya odaklanabilirsin.