Differential Equations
About Course
An in-depth video series by Gilbert Strang and Cleve Moler covering differential equations, linear algebra, and numerical methods with MATLAB.
Course Content
Differential Equations and Linear Algebra
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Unforced Damped Motion
14:03 -
Impulse Response and Step Response
16:01 -
Exponential Response – Possible Resonance
12:19 -
Second Order Equations with Damping
13:14 -
Electrical Networks: Voltages and Currents
16:33 -
Method of Undetermined Coefficients
16:31 -
An Example of Undetermined Coefficients
15:49 -
Variation of Parameters
19:22 -
Laplace Transform: First Order Equation
22:37 -
Laplace Transform: Second Order Equation
16:30 -
Laplace Transforms and Convolution
10:28 -
Pictures of Solutions
21:00 -
Phase Plane Pictures: Source, Sink, Saddle
18:25 -
Phase Plane Pictures: Spirals and Centers
13:46 -
Two First Order Equations: Stability
10:31 -
Linearization at Critical Points
15:08 -
Linearization of two nonlinear equations
21:40 -
Eigenvalues and Stability: 2 by 2 Matrix, A
19:30 -
The Tumbling Box in 3-D
22:53 -
The Column Space of a Matrix
12:43 -
Independence, Basis, and Dimension
13:19 -
The Big Picture of Linear Algebra
15:57 -
Graphs
15:26 -
Incidence Matrices of Graphs
19:50 -
Eigenvalues and Eigenvectors
19:00 -
Diagonalizing a Matrix
11:36 -
Powers of Matrices and Markov Matrices
17:53 -
Solving Linear Systems
15:47 -
The Matrix Exponential
15:32 -
Similar Matrices
14:50 -
Symmetric Matrices, Real Eigenvalues, Orthogonal Eigenvectors
15:54 -
Second Order Systems
16:50 -
Positive Definite Matrices
21:40 -
Singular Value Decomposition (the SVD)
14:10 -
Boundary Conditions Replace Initial Conditions
17:03 -
Laplace Equation
13:17 -
Fourier Series
16:35 -
Examples of Fourier Series
13:55 -
Fourier Series Solution of Laplace’s Equation
14:03 -
Heat Equation
10:48 -
Wave Equation
15:13 -
Euler, ODE1
15:22 -
Midpoint Method, ODE2
06:46 -
Classical Runge-Kutta, ODE4
09:38 -
Order, Naming Conventions
05:26 -
Estimating Error, ODE23
10:37 -
ODE45
06:46 -
Stiffness, ODE23s, ODE15s
07:14 -
Systems of Equations
14:16 -
The MATLAB ODE Suite
05:34 -
Tumbling Box
09:52 -
Predator-Prey Equations
14:17 -
Lorenz Attractor and Chaos
10:24 -
Gilbert and Cleve Introduction
02:53 -
Overview of Differential Equations
14:03 -
The Calculus You Need
14:47 -
Response to Exponential Input
13:19 -
Response to Oscillating Input
15:54 -
Solution for Any Input
13:59 -
Step Function and Delta Function
15:41 -
Response to Complex Exponential
12:51 -
Integrating Factor for Constant Rate
13:47 -
Integrating Factor for a Varying Rate
11:23 -
The Logistic Equation
13:27 -
The Stability and Instability of Steady States
21:14 -
Separable Equations
13:06 -
Second Order Equations
19:19 -
Forced Harmonic Motion
15:32
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