Multivariable Calculus

with an Introduction to Vector Calculus

This is a schedule for a ~15 week course covering vectors in two- and three-dimensional space, multivariable functions and their extrema, double and triple integrals of multivariable functions, parametrically-defined curves and surfaces, line and surface integrals in vector fields, and Green’s and Stokes’ and Ostrogradsky’s theorems. Within each section are links to notes, video lectures, technology guides and demos, practice exercises, problems, and past midterm exams. Chapters enumerated with § refer to Calculus 9E by Stewart. Topics marked like this are extracurricular and won’t appear on exams.