MATH 213 • Tüm Sınavlar • Differential Equations
Diferansiyel Denklemler dersi bundan önce aldığın Calculus I - II ve Linear Algebra derslerinden birer parça barındırıyor; Merak etme, biz senin icin tüm bu bilgileri düzenledik.
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Eğitmenler
Dorukhan Özcan
Co-Founder & CEO
Unicourse şirketinin kurucu ortağıyım. 2016 senesinde Galatasaray Lisesinden mezun oldum. Geçtiğimiz dört sene içerisinde 2000 saatten fazla ders anlattım. Anlattığım dersler sırasıyla; Calculus, Çok değişkenli Calculus, Lineer Cebir, Differansiyel Denklemler, Uygulamalı İstatistik ve Stokastik Modelleme dersleridir. Doping Hafıza şirketinde 2017 - 2022 seneleri arasında CEO danışmanlığı yaptım. Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını tam burslu olarak, 3.96/4.00 not ortalamasıyla bitirdim. Kadıköy Modalıyım.

Tolga Temiz
Eğitmen
2016 senesinde başladığım Koç Üniversitesi Matematik bölümünden 2020 senesinde fakülte üçüncüsü olarak mezun oldum. Lisans ve yüksek lisans eğitimlerim boyunca çeşitli derslerde asistanlık yaptım. 2021'de Koç Üniversitesi'nde Matematik yüksek lisansına başladım ve 2023 yılında mezun oldum. Şimdi Michigan State Üniversitesi'nde doktora yapıyorum. Topoloji alanıyla ilgilenmekteyim.
Kerem Başol
Eğitmen
2019 senesinde Koç Üniversitesi Matematik bölümüne başladım. Geçtiğimiz senelerde Calculus ve Linear Algebra derslerinde Tutor ve Teaching Assistant pozisyonlarında görev aldım. Halen Koç Üniversitesi Matematik ve Bilgisayar Mühendisliği çift anadal programını 4.00/4.00 ortalamayla fakülte birincisi olarak sürdürüyorum. Trigonometrik fonksiyonların elips üzerinde nasıl tanımlanabileceğini merak etmemle başlayan Matematik tutkumu aktarmak için Unicourse Matematik Zümresine katıldım.

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.

Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
First Order Linear Differential Equations
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Introduction: What is a Differential Equation
Integrating Factor Method
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Separable Differential Equations
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Separable Equations
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Bernoulli Equations
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Bernoulli Equations
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Homogeneous Equations
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Homogeneous Equations
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Exact Differential Equations
8 konu anlatımı · 4 soru
Exact Differential Equations I
Exact Differential Equations II
Exact Differential Equations III
Non-Exact Equation & Integrating Factor I
Non-Exact Equation & Integrating Factor II
Non-Exact Equation & Integrating Factor III
Non-Exact Equation & Integrating Factor IV
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Existence and Uniqueness Theorem
3 konu anlatımı · 3 soru
Existence and Uniqueness 1
Existence and Uniqueness 2
Existence and Uniqueness 3
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Second Order Differential Equations
9 konu anlatımı · 2 soru
Homogeneous Equations with Constant Coefficient
Homogeneous Equations with Constant Coefficient 2
Homogeneous Equations with Constant Coefficient 3
Homogeneous Equations with Constant Coefficient 4
Homogeneous Equations with Constant Coefficient 5
Homogeneous Equations with Constant Coefficient 6
Two Complex Roots 1
Two Complex Roots 2
Repeated Roots 1
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Wronskian Determinant
8 konu anlatımı · 6 soru
How to Calculate Wronskian Determinant
Wronskian Determinant 1
Wronskian Determinant 2
Fundamental Set of Solution 1
Fundamental Set of Solution 2
Fundamental Set of Solution 3
Fundamental Set of Solution (Important Question)
Abel’s Theorem 1
Abel’s Theorem 2
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Reduction of Order Method
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Reduction of Order 1
Reduction of Order 2
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Variation of Parameters
4 konu anlatımı · 11 soru
Variation of Parameter 1
Variation of Parameter 2
Variation of Parameter 3
Variation of Parameter 4
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Method of Undetermined Coefficient
4 konu anlatımı · 6 soru
Undetermined Coefficients 1
Undetermined Coefficients 2
Undetermined Coefficients 3
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D metodu - Konu Anlatımı
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High Order Linear Equations
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General Theory of nth Order DEs (Wronskian)
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Homogeneous DEs with Constant Coefficients
The Method of Undetermined Coefficients
The Method of Variation of Parameters
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Exam Practice Problems
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(NEW) FALL 2024 Exam Problems
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Homogeneous Solution of Const. Coef. Higher Order DEs
Bernoulli Equations
Particular Solution of Const. Coef. Higher Order DEs
Finding the Constant Coef. Homogeneous DE from a Given Solution
Finding the Constant Coef. Homogeneous DE from a Given Solution
Power Series Solution of Second Order Equations
7 konu anlatımı · 7 soru
What is a Power Series?
Convergence of a Power Series
Power Series Solution of Second Order Equations 1
Power Series Solution of Second Order Equations 2
Power Series Solution of Second Order Equations 3
Power Series Solution of Second Order Equations 4
Power Series Solution of Second Order Equations 5
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Regular Singular Points and Euler Equations
6 konu anlatımı · 8 soru
Solution Near an Regular Singular Point-1
Classification of Singular Points
Solution Near an Regular Singular Point-2
Euler Equation-1
Euler Equation-2
Euler Equation-3
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The Laplace Transform
6 konu anlatımı · 4 soru
The Laplace Transform 1
The Laplace Transform 2
The Laplace Transform 3
The Laplace Transform 4
Inverse Laplace Transform 1
Inverse Laplace Transform 2
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Solving Differential Equations by Laplace Transform
3 konu anlatımı · 6 soru
Laplace Transform of Derivative
Laplace Transform and Initial Value Problems 1
Laplace Transform and Initial Value Problems 2
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(NEW) FALL 2024 Midterm II Problems
4 soru
Power Series Solution around a Regular Singular Point
Laplace Transform
Laplace Transform
Method of Variation of Parameters
Step Functions and IVP
6 konu anlatımı · 5 soru
Step Functions 1
Step Functions 2
Step Functions 3
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Initial Value Problems with Step Functions 1
Initial Value Problems with Step Functions 2
Initial Value Problems with Step Functions 3
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The Convolution Integral
5 konu anlatımı · 4 soru
The Convolution Integral 1
The Convolution Integral 2
The Convolution Integral 3
Initial Value Problems with Convolution Integral 1
Initial Value Problems with Convolution Integral 2
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Linear Algebra Review (Hiç hatırlamayanlar)
8 konu anlatımı
Matrix Equations and Augmented Matrix
Homogeneous Linear Systems
Inverse of a Matrix
Eigenvalues & Eigenvectors: 3 Vital Steps
Eigenvalues & Eigenvectors: A Special Tip
A Matrix with Irrational Eigenvalues
Complex Eigenvalues
Complex Eigenvalues-2
Linear Algebra Review (Temelim sağlam diyenler)
5 konu anlatımı
Eigenvalues & Eigenvectors: 3 Vital Steps
Eigenvalues & Eigenvectors: A Special Tip
A Matrix with Irrational Eigenvalues
Complex Eigenvalues
Complex Eigenvalues-2
Systems of First Order Differential Equations
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Introduction
Homogeneous Systems: Distinct Real Eigenvalues 1
Homogeneous Systems: Distinct Real Eigenvalues 2
Homogeneous Systems: Complex Eigenvalues 1
Homogeneous Systems: Complex Eigenvalues 2
Homogeneous Systems: Repeated Eigenvalues 1
Homogeneous Systems: Repeated Eigenvalues 2
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Fundamental Matrix
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Fundamental Matrices
Solving systems with Fundamental Matrices
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Non-homogeneous Systems Part I
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Linear Algebra: Nonhomogeneous Systems
Non-hom. Systems: Given Particular Solution
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Review of Diagonalization
Method of Diagonalization I
Method of Diagonalization II
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Non-homogeneous Systems Part II
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Variation of Parameters Method 1
Variation of Parameters Method 2
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Boundary Value Problems Part 1: Eigen-Functions
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Eigen-Functions 1
Eigen-Functions 2
Eigen-Functions 3
Review of Vector Functions
7 konu anlatımı
Vector Functions and Curves
Domain of a Vector Function
Limit of a Vector Function
Derivative of a Vector Function
Integral of a Vector Function
Arc Length
Arc Length Parametrization
Line Integrals
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Line Integral 1
Line Integral 2
Line Integral 3
Line Integral 4
Line Integral 5
Vector Fields
4 konu anlatımı
Vector Fields and Field Lines
Conservative Fields
Potential Function
Line Integrals of Vector Fields
Exam Practice (Line Integral, Vector Field, Green's Theorem)
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Conservative Field & Potential
Conservative Field & Potential
Conservative Field & Potential
Conservative Field & Potential
Line Integrals
Line Integrals
Line Integrals
Line Integrals of Vector Fields
Line Integrals of Vector Fields
(NEW) FALL 2024 Midterm III Problems
4 soru
Solution of an Equation including Convolution using Laplace Transform
Homogeneous Solution of a System of DEs using Eigen Value Problem
Particular Solution of a System of DEs using Eigen Value Problem
Conservative Fields and Potential Functions (Similar to Exact Equations)