11:41

Population modeling with differential equations

13:27

Introduction to ordinary differential equations and initial value problems

07:16

ODE | Slope fields and isoclines example

04:21

Multivariable Calculus | Integration in polar coordinates

08:14

Multivariable Calculus | Polar, Cylindrical and Spherical coordinates

09:05

ODE | Repeated eigenvalues explanation and example

02:25

Multivariable Calculus | Vector line integral intuition

03:23

Multivariable Calculus | Scalar line integral example

07:40

ODE | Phase lines

08:55

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

02:56

Multivariable Calculus | Vector line integral example

03:31

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

03:49

Multivariable Calculus | Integrating over a portion of a half cylinder

06:49

PDE | Finite differences: introduction

04:09

ODE | Initial value problems for second order equations

02:54

ODE | Superposition principle example

04:18

ODE | Principle of superposition

07:56

PDE | Heat equation: intuition

05:33

ODE | Bifurcation diagrams

05:54

ODE | Phase diagrams

06:00

ODE | Logistic equation example

04:48

ODE | The logistic population model

06:02

ODE | Population models

04:57

ODE | Mixing problem example

06:02

ODE | A model for mixing problems

03:28

ODE | Integrating factors example

04:43

ODE | Integrating factors general method

02:58

ODE | Integrating factors introduction

03:26

ODE | Linear versus nonlinear

04:44

ODE | Existence and uniqueness example

03:52

ODE | Existence and uniqueness idea

03:08

ODE | Separating variables example

02:23

ODE | Separating variables idea

04:40

ODE | Slope fields

03:43

ODE | Newton's law of cooling

03:01

ODE | A geometric example

02:03

ODE | Initial value problems

02:23

ODE | What is a differential equation?

19:08

PDE 13 | Wave equation: separation of variables

18:14

FA 2 | Computing Fourier series

08:58

FA 1 | Fourier series introduction

15:13

PDE 12 | Wave equation: characteristics

14:31

PDE 11 | Wave equation: d'Alembert examples

12:32

PDE 10 | Wave equation: d'Alembert's formula

20:15

PDE 9 | Wave equation: general solution

22:45

PDE 8 | Wave equation: derivation

10:04

PDE 7 | Wave equation: intuition

14:50

PDE 1 | Introduction

13:20

PDE 2 | Three fundamental examples

13:45

PDE 6 | Transport with decay and nonlinear transport

14:59

PDE 5 | Method of characteristics

14:12

PDE 4 | Transport equation: general solution

11:31

PDE 3 | Transport equation: derivation