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MATH 219: Introduction to Differential Equations
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Kurslar
Arts and Sciences
Mathematics
MATH219
1 Nisan - 7 Nisan
Lecture 7-8
Lecture 7-8
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MATH219_Lecture_7_8.pdf
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◄ Video 10 - Eigenvalues and eigenvectors, Linear independence
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Announcements
Video 1 - Introduction, Direction Fields
Video 2 - Separable and Homogeneous Equations
Video 3 - First order Linear Equations
Lecture 1
Lecture 2
Video 4 - Modeling with First Order Equations
Video 5 - Differences Between Linear and Nonlinear Equations
Lecture 3
Lecture 4
Video 6 - Exact Equations and Integrating Factors
Video 7 - Systems of first order ODEs Intro
Lecture 5
Lecture 6
Video 8 - Systems of linear algebraic equations - I
Video 9 - Systems of linear algebraic equations - II
Video 10 - Eigenvalues and eigenvectors, Linear independence
Video 11 - Basis theory of systems of first order linear ODEs
Video 12 - Complex eigenvalues
Lecture 9
Lecture 10
Video 13 - Repeated eigenvalues and fundamental matrices
Video 14 - Repeated eigenvalues and matrix exponentials
Video 15 - Repeated eigenvalues and Jordan form
Video 16 - Repeated eigenvalues, derivation of solutions
Video 17 - Non Homogeneous Systems
Lecture 11
Lecture 12
Video 18 - Higher order linear ODEs, Introduction
Video 19 - Higher order linear ODEs, General Theory - I
Video 20 - Higher order linear ODEs, General Theory - II
Video 21 - Higher order linear homogeneous constant coefficient ODEs - I
Video 22 - Higher order linear homogeneous constant coefficient ODEs - II
Video 23 - Higher order linear homogeneous constant coefficient ODEs - III
Lecture 13
Lecture 14
Video 24 - The method of undetermined coefficients - I
Video 25 - The method of undetermined coefficients - II
Video 26 - Variation of parameters
Lecture 15
Lecture 16
Video 27 - Mechanical Vibrations
Video 28 - Forced Vibrations
Video 29 - Review of Power Series
Video 30 - Series solutions about an ordinary point - I
Video 31 - Series solutions about an ordinary point - II
Lecture 17
Lecture 18
Video 32 - Regular singular points and Euler Equations
Video 33 - Series solutions about a regular singular point
Lecture 19
Lecture 20
Video 34 - Laplace Transform
Video 35 - Solutions of IVPs using Laplace Transform
Video 36 - Step Functions
Lecture 21
Lecture 22
Video 37 - IVPs with discontinuous forcing terms. Impulse functions
Video 38 - Impulse functions. Introduction to Convolution
Video 39 - Convolution
Lecture 23
Lecture 24
Video 40 - Heat equation and separation of variables
Video 41 - Boundary value problems - Fourier Series
Video 42 - Fourier Convergence Theorem
Video 43 - Even & odd extensions
Lecture 25
Lecture 26
Video 11 - Basis theory of systems of first order linear ODEs ►
MATH219
Genel
11 Mart - 17 Mart
18 Mart - 24 Mart
25 Mart - 31 Mart
1 Nisan - 7 Nisan
8 Nisan - 14 Nisan
15 Nisan - 21 Nisan
22 Nisan - 28 Nisan
29 Nisan - 5 Mayıs
6 Mayıs - 12 Mayıs
13 Mayıs - 19 Mayıs
20 Mayıs - 26 Mayıs
27 Mayıs - 2 Haziran
3 Haziran - 9 Haziran
10 Haziran - 16 Haziran
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