This is a review and continuation of Math 126. As for all our math courses, we have a couple of different options here: the Khan Academy and MIT OpenCourseWare. Similar to Newton's invention of calculus to solve problems related to gravity, vector calculus arose from the study of electricity and magnetism. For this reason, the math and the physics are usually discussed together. This is the precisely the math you'll need to know in order to understand the "native language" of Maxwell's equations. Don't worry, it's much easier than it looks at first glance!
|Content provider||Where to Start|
|MIT OpenCourseWare||http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/ (35 lectures)|
A Student's Guide to Maxwell's Equations by Daniel Fleisch. For reasons mentioned above, this book has a physics title but is equally about the math. Listen to the podcasts and work through the problems on line (with solutions). I highly recommend buying the book. http://www4.wittenberg.edu/maxwell/bio.html