Magnet AnalYsis 2A: Multivariable Calculus and Differential Equations

So you've taken Analysis 1, and you've mastered change in one variable. But how do you deal with problems in the real world that deal with change in all three dimensions? That's where Analysis 2 comes in. In this course you'll learn how to extend some of the concepts from Analysis 1 to into multiple dimensions, leading to deep connections in fields as varied as electromagnetism to weather patterns. In the second semester of the course you'll cover methods of solving differential equations used to describe various forms of motion.

The first semester covers three-dimensional analytic geometry and vectors; the calculus of functions of more than one variable, including partial derivatives, vector-valued functions, multiple integrals, volumes, surface area, and the classical theorems of Green, Stokes, and Gauss. The second semester introduces the basic concepts of ordinary differential equations.