Multivariable & Vector Calculus

This course takes calculus from the two dimensional work of single variable functions into the three dimensional world, and beyond, of multivariable functions. This course is an accelerated version of MATH 201 and MATH 202 presented in one semester. It is intended for science and engineering students. Topics include: vectors in two and three dimensions, vector-valued functions and vector fields, multivariable functions, partial derivatives with applications, Taylor’s formula for functions of two and three variables, multiple integrals with applications, divergence, gradient, curl, line integrals with applications, conservative fields and potential functions, and the theorems of Green, Stokes and Gauss.