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Vector Calculus & Mathematica

This is a combined course in calculus of several variables, and a course in what has been called Advanced Calculus for Engineers, or Vector Calculus. The emphasis is on gradients and what they measure, flows and how you analyze them, and the famous integral theorems of Gauss and Stokes. This is where the power of Mathematica really shines. The two and three dimensional graphics capabilities of the software make these ideas come to life.

Here's the list of lessons.

	Vectors		Transforming 2D Integrals
	Perpendicularity		Transforming 3D Integrals
	The Gradient		Spherical Coordinates
	Vector Fields and Trajectories		Surface Measurements
	Flow Measurements		3D Flow Along
	Sources, Sinks, Swirls and Singularities

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

• A heat seeking missile from the problems.
• Looking at what divergence measures in different ways.
• integrating on surfaces of cylinders and tubes.

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 Lesson 10 Sampler Lesson 11 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