Honors Multivariable Calculus

Open to: Seniors

This course is a study of the fundamental theorems and applications of multivariable calculus. It will extend the calculus of one-dimension–studied in the AP Calculus BC course–to Euclidean spaces of arbitrary dimension. The course will begin with a careful consideration of vectors in Rn. Next, we will consider the theory of partial derivatives and vector fields. Multiple Riemann integrals will then be considered as well as some of their applications. Time permitting, the course will conclude with a look at the important theorems of vector calculus – namely, the theorems of Green, Gauss, and Stokes.