MATH 292 • Tüm Sınavlar • Differential Equations
Bu dersimizde sunduğumuz tüm konular, sırasıyla: 1) First-Order Differential Equations 2) Separable Equations 3) Method of Integrating Factor 4) Homogeneous Equations 5) Bernoulli Equations 6) Çıkmış Sınav Soruları Part I 7) Exact Equations & Integrating Factor 8) Substitution for some Second Order Equations 9) Çıkmış Sınav Soruları Part II
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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.
Konular
First Order Linear Differential Equations
2 konu anlatımı · 8 soru
Introduction: Classification of Differential Equations
Introduction: What is a Differential Equation
Integrating Factor 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
Separable Differential Equations
1 konu anlatımı · 6 soru
Separable Equations
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Substitution: The Bernoulli Equation
1 konu anlatımı · 2 soru
Bernoulli Equations
Exam like Question 1
Exam like Question 2
Exact Equations & Integrating Factor
7 konu anlatımı · 5 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
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Change of Variables: Homogeneous Equations
3 konu anlatımı · 3 soru
Homogeneous Differential Equations I
Homogeneous Differential Equations II
Homogeneous or not ?
Exam like Question 1
Exam like Question 2
Exam like Question 3
Substitution: Reducible Equations
2 konu anlatımı · 2 soru
Case I: Variable y is missing
Exam like Question 1
Case II: Variable x is missing
Exam like Question 2
Second Order Differential Equations
5 konu anlatımı
Homogeneous Equations with Constant Coefficient
Homogeneous Equations with Constant Coefficient 2
Homogeneous Equations with Constant Coefficient 3
Two Complex Roots
Repeated Roots
Wronskian Determinant
4 konu anlatımı
How to Calculate Wronskian Determinant
Wronskian Determinant 1
Wronskian Determinant 2
Fundamental Set of Solution
Abel's Theorem
2 konu anlatımı · 2 soru
Abel’s Theorem 1
Abel’s Theorem 2
Exam-like Question 1
Exam-like Question 2
Reduction of Order
2 konu anlatımı · 1 soru
Reduction of Order 1
Reduction of Order 2
Exam like Question
Method of Undetermined Coefficients
3 konu anlatımı
Undetermined Coefficients 1
Undetermined Coefficients 2
Undetermined Coefficients 3
Variation of Parameters
3 konu anlatımı
Variation of Parameter 1
Variation of Parameter 2
Variation of Parameter 3
Power Series Solution of Second Order Equations
5 konu anlatımı · 2 soru
Power Series Review
Power Series Solutions I
Power Series Solutions II
Power Series Solutions III
Power Series Solutions IV
Exam-like Question 1
Exam-like Question 2
The Laplace Transform
6 konu anlatımı · 3 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
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Solving Differential Equations by Laplace Transform
3 konu anlatımı · 3 soru
Laplace Transform of Derivative
Laplace Transform and Initial Value Problems 1
Laplace Transform and Initial Value Problems 2
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Step Functions and IVP
6 konu anlatımı · 4 soru
Step Functions 1
Step Functions 2
Step Functions 3
Exam-like Question 1
Exam-like Question 2
Initial Value Problems with Step Functions 1
Initial Value Problems with Step Functions 2
Initial Value Problems with Step Functions 3
Exam-like Question 3
Exam-like Question 4
The Convolution Integral
5 konu anlatımı · 2 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
Exam-like Question 1
Exam-like Question 2
Review of Linear Algebra
4 konu anlatımı
Eigenvalues & Eigenvectors: 3 Vital Steps
Eigenvalues & Eigenvectors: A Special Tip
Complex Eigenvalues
Complex Eigenvalues-2
Systems of First Order Linear Equations
7 konu anlatımı · 3 soru
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
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
General Review Problems
26 soru
Variation of Parameter 1
Variation of Parameter 2
Variation of Parameter 3
Variation of Parameter 4
Power Series Solution 1
Power Series Solution 2
Power Series Solution 3
Power Series Solution 4
Power Series Solution 5
Laplace Transform 1
Laplace Transform 2
Laplace Transform 3
Laplace Transform & Step Function
Laplace Transform & Step Function 2
Laplace Transform & Step Function 3
The Convolution Integral 1
The Convolution Integral 2
The Convolution Integral 3
Systems of Differential Equations 1
Systems of Differential Equations 2
Systems of Differential Equations 3
Systems of Differential Equations 4
Systems of Differential Equations 5
Systems of Differential Equations 6
Systems of Differential Equations 7
Systems of Differential Equations 8