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Differential Equations and Linear Algebra
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Season 1
General
Episodes
Artwork
TheTVDB.com Season ID
2205931
Created
September 13, 2025
Modified
September 22, 2025
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Name
First Aired
Runtime
Image
S01E01
Overview of Differential Equations
January 27, 2016
14
S01E02
The Calculus You Need
January 27, 2016
15
S01E03
1.4b: Response to Exponential Input, exp(s*t)
January 27, 2016
13
S01E04
1.4c: Response to Oscillating Input, cos(w*t)
January 27, 2016
16
S01E05
1.4d: Solution for Any Input, q(t)
January 27, 2016
14
S01E06
1.4e: Step Function and Delta Function
January 27, 2016
16
S01E07
1.5: Response to Complex Exponential, exp(i*w*t) = cos(w*t)+i*sin(w*t)
January 27, 2016
13
S01E08
1.6: Integrating Factor for a Constant Rate, a
January 27, 2016
14
S01E09
1.6b: Integrating Factor for a Varying Rate, a(t)
January 27, 2016
11
S01E10
1.7: The Logistic Equation
January 27, 2016
13
S01E11
1.7c: The Stability and Instability of Steady States
January 27, 2016
21
S01E12
1.8: Separable Equations
January 27, 2016
13
S01E13
2.1: Second Order Equations
January 27, 2016
19
S01E14
2.1b: Forced Harmonic Motion
January 27, 2016
15
S01E15
2.3: Unforced Damped Motion
January 27, 2016
14
S01E16
2.3c: Impulse Response and Step Response
January 27, 2016
16
S01E17
2.4: Exponential Response - Possible Resonance
January 27, 2016
12
S01E18
2.4b: Second Order Equations With Damping
January 27, 2016
13
S01E19
2.5: Electrical Networks: Voltages and Currents
January 27, 2016
17
S01E20
2.6: Methods of Undetermined Coefficients
January 27, 2016
17
S01E21
2.6b: An Example of Method of Undetermined Coefficients
January 27, 2016
16
S01E22
2.6c: Variations of Parameters
January 27, 2016
19
S01E23
2.7: Laplace Transform: First Order Equation
January 27, 2016
23
S01E24
2.7b: Laplace Transform: Second Order Equation
January 27, 2016
17
S01E25
2.7c: Laplace Transforms and Convolution
January 27, 2016
10
S01E26
3.1: Pictures of the Solutions
January 27, 2016
21
S01E27
3.2: Phase Plane Pictures: Source, Sink Saddle
January 27, 2016
18
S01E28
3.2b: Phase Plane Pictures: Spirals and Centers
January 27, 2016
14
S01E29
3.2c: Two First Order Equations: Stability
January 27, 2016
11
S01E30
3.3: Linearization at Critical Points
January 27, 2016
15
S01E31
3.3b: Linearization of y'=f(y,z) and z'=g(y,z)
January 27, 2016
22
S01E32
3.3c: Eigenvalues and Stability: 2 by 2 Matrix, A
January 27, 2016
19
S01E33
3.3d: The Tumbling Box in 3-D
January 27, 2016
23
S01E34
5.1: The Column Space of a Matrix, A
January 27, 2016
13
S01E35
5.4: Independence, Basis, and Dimension
January 27, 2016
13
S01E36
5.5: The Big Picture of Linear Algebra
January 27, 2016
16
S01E37
5.6: Graphs
January 27, 2016
15
S01E38
5.6b: Incidence Matrices of Graphs
January 27, 2016
20
S01E39
6.1: Eigenvalues and Eigenvectors
January 27, 2016
19
S01E40
6.2: Diagonalizing a Matrix
January 27, 2016
12
S01E41
6.2b: Powers, A^n, and Markov Matrices
January 27, 2016
18
S01E42
6.3: Solving Linear Systems
January 27, 2016
16
S01E43
6.4: The Matrix Exponential, exp(A*t)
January 27, 2016
16
S01E44
6.4b: Similar Matrices, A and B=M^(-1)*A*M
January 27, 2016
15
S01E45
6.5: Symmetric Matrices, Real Eigenvalues, Orthogonal Eigenvectors
January 27, 2016
16
S01E46
6.5b: Second Order Systems, y''+Sy=0
January 27, 2016
17
S01E47
7.2: Positive Definite Matrices, S=A'*A
January 27, 2016
22
S01E48
7.2b: Singular Value Decomposition, SVD
January 27, 2016
14
S01E49
7.3: Boundary Conditions Replace Initial Conditions
January 27, 2016
17
S01E50
7.4: Laplace Equation
January 27, 2016
13
S01E51
8.1: Fourier Series
January 27, 2016
17
S01E52
8.1b: Examples of Fourier Series
January 27, 2016
14
S01E53
8.1c: Fourier Series Solution of Laplace's Equation
January 27, 2016
14
S01E54
8.3: Heat Equation
January 27, 2016
11
S01E55
8.4: Wave Equation
series finale
January 27, 2016
15
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