MATH 244 • Final • Differential Equations
Diferansiyel Denklemler dersi bundan önce aldığın Calculus 1 ve 2 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.
Konular
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
Exam-like Question 8
Exam-like Question 9
Exam-like Question 10
Exam-like Question 11
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
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
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
Exam-like Question 1
Exam-like Question 2
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Linear Algebra Review
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
Systems of First Order Differential Equations
7 konu anlatımı · 11 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
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
Fundamental Matrix
2 konu anlatımı · 2 soru
Fundamental Matrices
Solving systems with Fundamental Matrices
Exam-like Question 1
Exam-like Question 2
Non-homogeneous Systems Part I
5 konu anlatımı · 6 soru
Linear Algebra: Nonhomogeneous Systems
Non-hom. Systems: Given Particular Solution
Exam-like Question 1
Review of Diagonalization
Method of Diagonalization I
Method of Diagonalization II
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Non-homogeneous Systems Part II
2 konu anlatımı · 2 soru
Variation of Parameters Method 1
Variation of Parameters Method 2
Exam-like Question 1
Exam-like Question 2
Boundary Value Problems: Eigen-Functions
3 konu anlatımı
Eigen-Functions 1
Eigen-Functions 2
Eigen-Functions 3
Past Exam Problems (Konu Sırasıyla)
10 soru
Exact Equation (Fall 2024 Final Exam)
Undetermined Coefs. Method (Fall 2024 Final Exam)
Undetermined Coefs. Method (Fall 2024 Final Exam)
Solving DE with Laplace Tr. (including Convolution) (Fall 2024 Exam)
Solving DE with Laplace Tr. (Fall 2024 Final Exam)
Power Series Solution Around an Ordinary Point (Spring 2025 Exam)
Power Series Solution Around Ordinary Point (Fall 2024 Exam)
Power Series Solution Around Ordinary Point (Fall 2023 Exam)
Power Series Solution (Fall 2025 Final Exam)
Fundamental Matrix (Fall 2025 Final Exam)