MATH 276 • Midterm II + Final • Differential Equations
“0 dan öğrendim ve anladım süper bir şey öneriyorum”
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Mekatronik Mühendisliği & Elektrik-Elektronik Mühendisliği
MATH276 Diferansiyel Denklemler 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 Final'e dahil olan tüm konular şu şekilde: - Basic Properties of the Laplace Transforms - Convolution - Solution of the Differential Equations by the Laplace Transforms - Partial Differential Equations: Separation of Variables, Solution of Heat Equation - Fourier Analysis: Odd and Even Functions, Periodic Functions, Trigonometric Series, Fourier Series and Fourier Sine and Fourier Cosine Series for Functions of Any Period, Solution of Heat Equation through the Fourier Series. - Çalışma Soruları - Eski Yıllarda Çıkmış sınavlar
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
Homogeneous Constant Coefficient Equations (MT2)
1 konu anlatımı · 6 soru
Homogeneous Constant Coefficient Equations
Exam Like Question 1-2-3
Exam Like Question 4-5-6
Exam Like Question 7-8-9
Exam Like Question 10-11-12
Exam Like Question 13
Exam Like Question 14 (Sınavda Çıkar!)
Undetermined Coefficients Method (MT2)
1 konu anlatımı · 14 soru
Undetermined Coefficients Method (Non-Wronskian Formula)
Undetermined Coefficients Method (Wronskian Method)
Exam Like Question 1
Exam Like Question 2
Exam Like Question 3
Exam Like Question 4
Exam Like Question 5
Exam Like Question 6
Exam Like Question 7
Exam Like Question 8
Exam Like Question 9
Exam Like Question 10
Exam Like Question 11
Exam Like Question 12
Exam Like Question 13
Exam Like Question 14
Variation of Parameters Method (MT2)
1 konu anlatımı · 6 soru
(NEW) Variation of Parameters Method (Non-Wronskian Method)
Exam Like Question 1
Exam Like Question 2
Exam Like Question 3
Exam Like Question 4
Exam Like Question 5
Exam Like Question 6
Cauchy-Euler Equations (MT2)
1 konu anlatımı · 2 soru
Caucy Euler Equation
Exam Like Question 1
Exam Like Question 2
Power Series Solutions (MT2)
2 konu anlatımı · 9 soru
Power Series Solutions (Ordinary Point)
Exam Like Equation 1
Exam Like Equation 2
Exam Like Equation 3
Exam Like Equation 4
Power Series Solutions (Regular Singular Points)
Exam Like Question 1
Exam Like Question 2
Exam Like Question 3
Exam Like Question 4
Exam Like Question 5
Laplace Transform (Laplace, Convolution, Solution with Laplace) (MT2)
8 konu anlatımı · 15 soru
Laplace Transform (Introduction)
Laplace Transform as an Integral
Laplace Tables and Properties of Laplace Transform
Exam Like Question
Unit Impulse, Step and Ramp Functions
Laplace of Time Delayed and Periodic Functions
Exam Like Question
Exam Like Question
Exam Like Question
Convolution and Complex Shift
Exam Like Question
Exam Like Question
Initial and Final Value Theorems
Exam Like Question
Exam Like Question
Inverse Laplace with Partial Fractions
Exam Like Question
Exam Like Question
Exam Like Question
Exam Like Question
Exam Like Question
Exam Like Question
Solution of Differential Equations by the Laplace Transforms
Formula Sheet for Laplace Transforms
System of Linear Ordinary Differential Equations (FNL)
1 konu anlatımı
System of Linear Ordinary Differential Equations
Partial Differential Equations (Separation of Variables, Solution of Heat Equation) (FNL)
1 konu anlatımı · 3 soru
Partial Differential Equations: Separation of Variables and Heat Equation
Exam Like Question: Heat Equation
Exam Like Question: Heat Equation
Exam Like Question: Heat Equation
Fourier Analysis (FNL)
1 konu anlatımı · 6 soru
Fourier Analysis
Exam Like Question 1
Exam Like Question 2
Exam Like Question 3
Exam Like Question 4
Exam Like Question 5
Exam Like Question 6
Exam Practice Problems
21 soru
Inverse Laplace Transform
Inverse Laplace Transform of a Time Shifted Function
Solution of ODEs with Laplace Transform
Solution of a System of ODEs with Laplace Transform
Classification of Singular Points
Power Series Solution around an Ordinary Point
Power Series Solution Around an Ordinary Point
Power Series Solution around a Regular Singular Point
Inverse Laplace Transform
Solution of Differential Equations (with Dirac Delta) with Laplace Transform
Solution of an Equation (including Convolution Integral) with Laplace Transform
Power Series Solution
Convolution Integral and Laplace Transform
Solution of D.Es. with Laplace Transform
Solution of DEs with Laplace Transform
Homogeneous Const. Coef. Higher Order DEs
Conservative Fields and Potential Functions (Similar to Exact Equations)
Solution with Substitutions
Method of Undetermined Coefficients
Separation of Variables for a PDE
Eigenvalues and Eigenfunction of a DE
(NEW) Spring-2026 MT-2 Solutions
6 soru
Method of Undetermined Coefficients
Method of Variation of Parameters
Cauchy-Euler Equation
Power Series Solution Around An Ordinary Point
Power Series Solution about Singular Points
Laplace and Inverse Laplace Transform
Fall-2025 Sample MT-2 Solutions
1 soru
Sample Midterm-2 Solutions
Fall-2025 Sample Final Solutions
Fall-2025 Sample Final Solutions
Fall-2025 Midterm-2 Exam
5 soru
Laplace and Inverse Laplace Transform
Laplace and Inverse Laplace Transform
Laplace and Inverse Laplace Transform
System of Linear ODEs
Power Series Solutions (Ordinary Point)
Fall-2025 Final Exam
7 soru
First and Second Order DEs (Multiple Choice)
Second Order DEs (Multiple Choice)
Higher Order DEs, Convolution, Fourier Expansion (Multiple Choice)
Bernoulli Equation
Wronskian Determinant, Variation of Parameters Method
Heat Equation
Undetermined Coefficients Method, Laplace Transform
Spring 2025 Midterm-2 Exam
5 soru
Method of Undetermined Coefficients
Method of Variation of Parameters
Power Series Solution Around an Ordinary Point
Laplace Transform
Solution of Differential Eqns. Using Laplace Transform
Spring 2025 Final Exam
7 soru
Substitutions
Laplace Transform of a Discontinuous Function
Verifying the Solutions, Linear Independence
Convolution Integral
Heat Equation
Fourier Transfrom
Classification of Singular Points
Fall 2024 Midterm-2 Exam
6 soru
Cauchy Euler Equation
Variation of Parameters Method
Power Series Solution Around Ordinary Point
Laplace Transform (involving Convolution)
Inverse Laplace Transform
Solving DE with Laplace Tr.
Fall 2024 Final Exam
7 soru
Solution of Heat Equation
Fourier Series Expansion (Cosine Series)
1st Order Homogeneous Equation
Exact Equation
Power Series Solutions of Differential Equations
Solving DE with Laplace Tr.
System of Linear DE (Elimination Method)
Spring 2024 Midterm-2 Exam
6 soru
Variation of Parameters Method
Cauchy-Euler Equation
Method of Undetermined Coefficients
Power Series Solution Around an Ordinary Point
Laplace and Inverse Laplace Transform
Solution of an ODE with Laplace Transform
Spring 2024 Final Exam
8 soru
Partial Differential Equations: Heat Equation
Fourier Series Expansion
Bernoulli Equations
Solution of System of ODEs with Elimination
Power Series Solution Around Regular Singular Points
Solution of Higher Order ODEs: General Theory
Laplace Transform (with Convolution Integral)
Solution of ODEs with Laplace Transform (Piecewise Functions)
Solution of the Exercise Sets
1 soru
Solutions of the Exercise Sets Between 20-21-23 (Final Topics)
Formula Sheet for All Chapters
Formula Sheet for All Chapters
Değerlendirmeler
26 öğrenci değerlendirmesi
Değerlendirme yapmak için bu derse sahip olman gerekiyor.
Naz Büyüköz
Mekatronik Mühendisliği & Elektrik-Elektronik Mühendisliği
0 dan öğrendim ve anladım süper bir şey öneriyorum
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Endüstri Mühendisliği
Efe Osman Baykal
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İnşaat Mühendisliği
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Endüstri Mühendisliği
Eren Oğur
Yazılım Mühendisliği
Elif Sudem Alkan
Bilgisayar Mühendisliği
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