ENG 215 • Midterm • Differential Equations
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.
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Konular
Introduction
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Introduction: Classification of Differential Equations
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Linear First Order Equations
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Integrating Factor Method
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Separable Differential Equations
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Separable Equations
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Existence and Uniqueness Theorem
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Existence and Uniqueness Theorem
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Bernoulli Equation
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Bernoulli Equations
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Homogeneous Differential Equations
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Homogeneous Equations
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Other Substitution Techniques
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Case 1: Given Substitution
Case 2: Equations of the form F(ax + by + c)
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Ricatti Equations
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Ricatti Equations
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Clairaut Equations
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Clairaut Equations
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Applications: Modeling with Differential Equations
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Modeling with Diff. Eqns. (Applications)
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Exact Differential Equations
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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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Reducible Second-Order Equations
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Case I: Variable y is missing
Case II: Variable x is missing
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Second Order Equations
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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
Two Complex Roots 1
Two Complex Roots 2
Repeated Roots 1
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Wronskian Determinant
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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 Solutions 4
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Reduction of Order
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Reduction of Order 1
Reduction of Order 2
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Variation of Parameters
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Variation of Parameter 1
Variation of Parameter 2
Variation of Parameter 3
Variation of Parameter 4
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Method of Undetermined Coefficient
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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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Regular Singular Points and Euler Equations
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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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Paketi Tamamla
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ENG 215 • Midterm
Differential Equations
999 TL

ENG 215 • Final
Differential Equations
999 TL