commutant - VideoAndMovie

High quality lectures on fundamental topics in mathematics.

partial differential equations
ordinary differential equations
fourier series

Population modeling with differential equations

11:41

Population modeling with differential equations

Introduction to ordinary differential equations and initial value problems

13:27

Introduction to ordinary differential equations and initial value problems

ODE | Slope fields and isoclines example

7:16

ODE | Slope fields and isoclines example

Multivariable Calculus | Integration in polar coordinates

4:21

Multivariable Calculus | Integration in polar coordinates

Multivariable Calculus | Polar, Cylindrical and Spherical coordinates

8:14

Multivariable Calculus | Polar, Cylindrical and Spherical coordinates

ODE | Repeated eigenvalues explanation and example

9:05

ODE | Repeated eigenvalues explanation and example

Multivariable Calculus | Vector line integral intuition

2:25

Multivariable Calculus | Vector line integral intuition

Multivariable Calculus | Scalar line integral example

3:23

Multivariable Calculus | Scalar line integral example

ODE | Phase lines

7:40

ODE | Phase lines

Multivariable Calculus | Integration example in cartesian, cylindrical and spherical coordinates

8:55

Multivariable Calculus | Integration example in cartesian, cylindrical and spherical coordinates

Multivariable Calculus | Vector line integral example

2:56

Multivariable Calculus | Vector line integral example

Multivariable Calculus | dV (volume element) in 3d coordinate systems

3:31

Multivariable Calculus | dV (volume element) in 3d coordinate systems

Multivariable Calculus | Integrating over a portion of a half cylinder

3:49

Multivariable Calculus | Integrating over a portion of a half cylinder

PDE | Finite differences: introduction

6:49

PDE | Finite differences: introduction

ODE | Initial value problems for second order equations

4:09

ODE | Initial value problems for second order equations

ODE | Superposition principle example

2:54

ODE | Superposition principle example

ODE | Principle of superposition

4:18

ODE | Principle of superposition

PDE | Heat equation: intuition

7:56

PDE | Heat equation: intuition

ODE | Bifurcation diagrams

5:33

ODE | Bifurcation diagrams

ODE | Phase diagrams

5:54

ODE | Phase diagrams

ODE | Logistic equation example

6:00

ODE | Logistic equation example

ODE | The logistic population model

4:48

ODE | The logistic population model

ODE | Population models

6:02

ODE | Population models

ODE | Mixing problem example

4:57

ODE | Mixing problem example

ODE | A model for mixing problems

6:02

ODE | A model for mixing problems

ODE | Integrating factors example

3:28

ODE | Integrating factors example

ODE | Integrating factors general method

4:43

ODE | Integrating factors general method

ODE | Integrating factors introduction

2:58

ODE | Integrating factors introduction

ODE | Linear versus nonlinear

3:26

ODE | Linear versus nonlinear

ODE | Existence and uniqueness example

4:44

ODE | Existence and uniqueness example