This six week Coursera course covers multivariable differential calculus and the relevant linear algebra.
The course launched on March 14, 2014.
M2O2C2 is an invitation to think carefully about how one thing changing affects something else. What is the "derivative" of a function of many variables? How can a curved object be approximated by a flat plane? What does the chain rule look like when many things are affecting many other things? How do we find an input which maximizes a function of many variables?
This is a course in multivariable differential calculus, but we will also introduce a ton of linear algebra. The result is a course targeted at a student who has seen a bit of calculus and is willing to learn about matrices and vectors to provide the best possible vantage point from which to understand derivatives of functions of many variables.
A follow-up course will cover multivariable integral calculus.