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Differential Equations & Mathematica

The preliminary version of this course resembled strongly some of the other new courses in Differential Equations. Our students objected, saying that there are certain traditional topics they wanted covered, and done early in the course, which they need in their engineering and science courses. That reshaped this book.

Here's the list of lessons.

	The Exponential Differential Equation		System Flow
	The Oscillator Differential Equation		Linear Systems
	Laplace Transform and Fourier Approximations		Linearization of Systems
	Differential Equations Issues		The Heat and Wave Equations
	First Order Differential Equations

Here are some pages with snapshots of problems from the non-linear beginnings of the course. Be careful if you look at these. They are chock full of graphics, and may take very long to download.

• A predator-prey problem from the Tutorials section.
• An introduction to the van der Pol oscillator as a problem from the Give It A Try homework.
• A problem on energy as a visual tool in studying a pendulum.

If you want, you may download pre-evaluated samplers from this course.

If you have a Macintosh computer: Click and hold and save the file to your disk.

If you have a Windows machine: Right mouse click and save.

Here's a sampler from each lesson.

Lesson 1 Sampler Lesson 2 Sampler Lesson 3 Sampler

Lesson 4 Sampler Lesson 5 Sampler Lesson 6 Sampler

Lesson 7 Sampler Lesson 8 Sampler Lesson 9 Sampler

If you are new to the courseware's structure, or to the structure of Mathematica notebooks, take a quick look at what to do once you download a sample lesson.

To view the samples, if you don't have a copy of Mathematica, you'll need to download a copy of MathReader from Wolfram Research, Inc