# 一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本

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# Differential Equations II

## The frontier of scientific modeling.

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1. 1

### Introduction

What are nonlinear and partial differential equations?

1. #### Nonlinear Equations in a Nutshell

What makes an equation nonlinear, and why does it matter?

2. #### PDEs in a Nutshell

Tour the equations governing heat, waves, diffusion, and the quantum realm.

2. 2

### Nonlinear Equations

The essential toolbox for systems of nonlinear equations.

1. Included with

#### Lotka-Volterra I

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Learn how to visualize nonlinear pairs with a direction field.

2. Included with

#### Lotka-Volterra II

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Apply multivariable calculus ideas to an important pair of nonlinear equations.

3. Included with

#### Linearization

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Use linear algebra to figure out the nature of equilibria.

4. Included with

#### The Hartman-Grobman Theorem

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Find out why linearization works so well by borrowing ideas from topology.

3. 3

### Partial Differential Equations

The basics of differential equations with many variables.

1. Included with

#### 1D Waves & d'Alembert's Formula

Begin your journey into partial differential equations (pdes) with waves on a length of rope.

2. Included with

#### Sources & Boundary Conditions

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本What happens when a 1D wave reaches the end of its rope?

3. Included with

#### Challenge: 2D & 3D Waves

Step into higher dimensions by modeling surface ripples and sound waves.

4. Included with

#### Separation of Variables & Waves

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Learn how to split a difficult linear pde into a set of easier problems.

4. 4

### Transform Methods

Learn how to turn hard diff eq problems into easy ones.

1. Included with

#### The Fourier Transform

Find out what signals analysis and linear pdes have in common.

2. Included with

#### Practice: Fourier & The Heat Equation

Learn to wield the power of the Fourier transform by practicing on the heat equation.

3. Included with

#### Practice: Fourier & Laplace's Equation

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Continue to develop your Fourier transform skills with Laplace's equation.

4. Included with

#### Challenge: Fourier & 3D Waves

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Rise to the challenge of modeling 3D compression waves with the Fourier transform.

5. 5

### Power Series

Discover the power of unending sums.

1. Included with

#### Series Solutions I

Learn how infinite sums clear the path to solving difficult differential equations.

2. Included with

#### Series Solutions II

Explore some quirks and special features of infinite series.

3. Included with