# Welcome!

## Differential Equations and Linear Algebra - New Book Website

For orders and requests, email diffeqla@gmail.com

55 short videos have been created to present the

main ideas for differential equations in an active way.

Cleve Moler (who created MATLAB) developed a parallel series

of videos about numerical solutions that presents increasingly

accurate and professional codes from MATLAB's ODE Suite.

Here is the link to the home page for the two series at the MathWorks.

http://www.mathworks.com/academia/courseware/learn-differential-equations.html

Here is the link to the Strang and Moler series on MIT OpenCoureWare.

http://ocw.mit.edu/resources/res-18-009-learn-differential-equations-up-close-with-gilbert-strang-and-cleve-moler-fall-2015/

See the MIT site for links on YouTube, iTunes and Internet Archive.

Linear algebra videos by Professor Strang are already on YouTube and OpenCourseWare ocw.mit.edu (Math 18.06 and 18.06 SC)

Here are the full links to those:

18.06 - http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/

18.06 SC - http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/

#### Samples of the book

- Chapter 1: First Order Equations
- 1.1 Four Examples : Linear versus Nonlinear
- Chapter 2: Second Order Equations
- 2.1 Second Derivatives in Science and Engineering
- Chapter 3: Graphical and Numerical Methods
- 3.2 Sources, Sinks, Saddles, and Spirals
- Chapter 4: Linear Equations and Inverse Matrices
- 4.1 Two Pictures of Linear Equations
- Chapter 5: Vector Spaces and Subspaces
- 5.1 The Column Space of a Matrix
- Chapter 6: Eigenvalues and Eigenvectors
- 6.1 Introduction to Eigenvalues
- Chapter 7: Applied Mathematics and A
^{T} A
- 7.2 Positive Definite Matrices and the SVD
- Chapter 8: Fourier and Laplace Transforms
- 8.1 Fourier Series

## Solution Manual:

[Page of Solution Formulas]
## Essays

The Core Ideas in Our Teaching

Nice Functions

The Tumbling Box - Figure 1 Figure 2

- To come:
- Additional exercises
- Software for exercises
- Test questions

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