15:25

Maria Lan Bressan playing Mendelssohn violin concert

17:19

V9-12: PDE classification, method of characteristic, examples. Elementary Differential Equations

10:35

V9-11: D'Alembert's solution for wave equation, example, remarks, characteristics. Elem. Diff. Eqns.

12:21

V9-10: D'Alembert's solution for wave equation, derivation. Elementary Differential equations

08:21

V9_9_bonus: Another derivation for the solution of the Laplace equation in a rectangle. Elem. PDEs

21:46

V9-9: Laplace Equation in rectangle, Dirichlet boundary conditions, derivation of formal solution.

26:26

V9-8: Wave equation solutions: modes, discussions on waves, example. Elem Differential Equations

17:09

V9-7: Wave equation in 1D, derivation of formal solutions, Elementary Differential Equations.

09:09

V9-6: Separation of variable, discussion and examples. Elementary Differential Equations .

10:31

V9-5: Heat equation with non-homogenous boundary conditions, Elementary Differential equations.

14:36

V9-4: Heat equation w/ Neumann boundary condition. Steady States. Elementary Differential Equations

10:22

V9-3: Heat equation, solution properties, faster damping of high frequencies. Elementary Diff Eqns

19:22

V9-2: 1D Heat equation, derivation of formal solution with Fourier series. Elementary Diff Equations

10:30

V9-1: Basic concepts of PDEs (Partial Differential Equations). Elementary Differential Equation

00:48

Golden fluffy kitty doing Cha Cha slide dance

01:01

It's Always Playtime for the Kittens.

18:25

V8-12: Eigenvalue problems: 3rd example + a fun one with a joke. Elementary Differential equations

11:17

V8-11: Eigenvalue problems example with Neumann Boundary Conditions; Elementary Differential eqns

01:05

Kittens Grooming and Falling Asleep

12:14

V8-10: Eigenvalue problem, first example, eigenfunctions. Elementary differential Equations.

15:26

V8-9: Two-point boundary value problem, introduction and examples. Elementary Differential Equations

00:13

Kitten admiring himself in the mirror

00:15

Yuan Yuan The Cat The Spinner

24:06

V8-8: Properties of Fourier series, linearity and convergence. Elementary Differential Equations

00:11

Kitty Water Play

30:04

V8-7: Half Range Extensions, Fourier sin/cosine series, Elementary Differential equations

19:59

V8-6 Fourier series examples, tabular method, even function, Elementary differential equations

21:29

V8-5 Tabular Method for integration by parts, examples. Elementary differential equations

16:56

V8-4: Fourier series Example with an even, discontinuous function; Elementary Differential Equations

20:45

V8-3: Fourier series, example of a piecewise constant function; Elementary Differential Equations

12:52

V8-2: Fourier series, definition and derivation of formulas; Elementary Differential Equations

17:53

V8-1: Periodic functions, trig set, inner product, orthogonality; Elementary Differential Equations

26:43

V7-4e Two Competing Species, critical points, stability, phase portrait. Elem Differential Equations

25:21

V7_3: Local linearization at critical points, prey-predator model; Elementary Differential Equations

14:27

V7_2: Applications to population dynamics, autonomous equations; Elementary Differential equations

18:06

V7_1: Systems of two nonlinear autonomous equations, critical points; Element Differential Equations

01:09:58

Linear Programming. Lecture 28. Final review.

06:36

V6_15: Summary for all cases of 2x2 system of linear ODEs. Elementary differential equations

16:04

V6_14: Phase Portraits with 1 or 2 zero eigenvalues; Elementary differential equations

06:22

V6_13: Another example for improper node. Elementary differential equations

14:44

V6_12: Repeated eigenvalues, phase portrait w/improper node. Elementary differential equations

21:09

V6_11: Repeated eigenvalues, general solutions, ODE systems. Elementary differential equations

29:05

V6_10: Complex eigenvalues Phase portrait for spiral, ODE systems. Elementary differential equations

21:18

V6_9: Complex eigenvalues, Phase portrait for center, ODE systems. Elementary differential equations

18:31

V6_8: Phase portrait and stability for nodes, ODE systems. Elementary differential equations

18:35

V6_7: Phase portrait and stability for saddle points, ODE systems. Elementary differential equations

15:11

Video6_6: General solutions for Linear Systems of ODEs. Elementary differential equations

05:56

Video6_5: General Theory on Homogeneous Linear Systems of ODEs. Elementary differential equations

10:30

Video6_4: Complex Eigenvalues eigenvectors; repeated EV. Elementary differential equations

14:55

Video6_3: Review of matrices. Eigenvalues and eigenvectors. Elementary differential equations

13:12

Video6_2: Review of matrices. Elementary differential equations

10:47

Video6_1: Systems of ODEs. Introduction. Elementary differential equations

22:22

Video5-18: Convolution Theorem, proof, examples, application. Elementary differential equations

13:11

Video5-16: Impulse function. Elementary differential equations

19:56

Video5-17: Convolution Theorem, examples of convolution. Elementary differential equations

25:14

Video5-15: Laplace transform for IVP with discontinuous force. Elementary differential equations

14:50

Video5-14: Laplace transform for IVP with discontinuous force. Elementary differential equations

12:25

Video5-13: Inverse Laplace Transform for discontinuous functions. Examples. Elementary Diff Equation

21:22

Video5-12: Laplace transform for discontinuous functions, 2nd shift Theorem, Elementary Diff. Eqns

11:03

Video5-11: Laplace transform of step function, 2nd shift Theorem. Elementary differential equations.