PCA April 2021
Some Applied Math
PCA April 2021
37:57
AppM Lecture 22 Stability of ODE equilibria in Lyapunov sense
Some Applied Math
AppM Lecture 22 Stability of ODE equilibria in Lyapunov sense
1:09:46
AppM Lecture 21 The mathematics of Kepler's Laws
Some Applied Math
AppM Lecture 21 The mathematics of Kepler's Laws
28:33
AppM Lecture 20 Central Force Problem
Some Applied Math
AppM Lecture 20 Central Force Problem
1:17:24
AppM Lecture 19 Hopf Bifurcation. Central force problems.
Some Applied Math
AppM Lecture 19 Hopf Bifurcation. Central force problems.
1:11:49
AppM Lecture 18 Typical co-dimension one bifurcations (ODE equilibria)
Some Applied Math
AppM Lecture 18 Typical co-dimension one bifurcations (ODE equilibria)
1:05:06
AppM Lecture 17 What is the Implicit Function Theorem good for? Submanifolds.
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AppM Lecture 17 What is the Implicit Function Theorem good for? Submanifolds.
1:09:30
AppM Lecture 16 What is the Implicit Function Theorem good for
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AppM Lecture 16 What is the Implicit Function Theorem good for
1:09:36
AppM Lecture 15 The Lorenz systesm. Persistence and bifurcation. Intro Implicit Function Theorem
Some Applied Math
AppM Lecture 15 The Lorenz systesm. Persistence and bifurcation. Intro Implicit Function Theorem
34:52
AppM Lecture 14 Stability of equilibria in nonlinear ODE systems
Some Applied Math
AppM Lecture 14 Stability of equilibria in nonlinear ODE systems
1:10:21
AppM Lecture 13 Stability and bifurcation for equilibria of 2 dimensional nonlinear ODEs
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AppM Lecture 13 Stability and bifurcation for equilibria of 2 dimensional nonlinear ODEs
40:08
AppM Lecture 12 Stability of Nonlinear ODEs
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AppM Lecture 12 Stability of Nonlinear ODEs
1:07:52
AppM Lecture 11 Stability of 2 Dimensional Linear ODEs
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AppM Lecture 11 Stability of 2 Dimensional Linear ODEs
1:11:42
AppM Lecture 10 Damped harmonic oscillator. Phase plane, energy decay. Stability of equilibria.
Some Applied Math
AppM Lecture 10 Damped harmonic oscillator. Phase plane, energy decay. Stability of equilibria.
1:13:32
AppM Lecture 9 More on second order ODEs (effective potential, damped harminc oscillator).
Some Applied Math
AppM Lecture 9 More on second order ODEs (effective potential, damped harminc oscillator).
1:04:10
AppM Lecture 8
Some Applied Math
AppM Lecture 8
1:06:06
AppM Lecture 7
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AppM Lecture 7
44:41
AppM Lecture 6 Adimensionalization
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AppM Lecture 6 Adimensionalization
1:01:23
AppM Lecture 5 Scalings
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AppM Lecture 5 Scalings
42:48
Dimensional Analysis Problem 3
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Dimensional Analysis Problem 3
28:53
Dimensional Analysis Problem 2
Some Applied Math
Dimensional Analysis Problem 2
26:31
Dimensional Analysis Problem 1
Some Applied Math
Dimensional Analysis Problem 1
23:00
AppM Lecture 4
Some Applied Math
AppM Lecture 4
30:47
AppM Lecture 3
Some Applied Math
AppM Lecture 3
56:01
AppM Lecture 2 (Dimensional Analysis cont.)
Some Applied Math
AppM Lecture 2 (Dimensional Analysis cont.)
54:11
AppMath Lecture 1 (Dimensional Analysis 1)
Some Applied Math
AppMath Lecture 1 (Dimensional Analysis 1)
35:39