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MATH 219: Introduction to Differential Equations
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MATH219
29 April - 5 May
Lecture 15
Lecture 15
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MATH219_Lecture_15.pdf
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◄ Video 26 - Variation of parameters
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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
Lecture 7-8
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 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
Lecture 16 ►
MATH219
General
11 March - 17 March
18 March - 24 March
25 March - 31 March
1 April - 7 April
8 April - 14 April
15 April - 21 April
22 April - 28 April
29 April - 5 May
6 May - 12 May
13 May - 19 May
20 May - 26 May
27 May - 2 June
3 June - 9 June
10 June - 16 June
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