Multivariable Calculus

This course covers the typical third semester of college Calculus (typically called Calculus III), specifically the extension of differentiation and integration techniques to two or more variables, the study of vector calculus, and the application of these concepts to vector fields. The course wraps up with the “big three” theorems – Green’s, Stokes’, and Divergence – which are important in the study of fluid dynamics, gravitational fields, and other areas of physics. Throughout the course, we will utilize graphing programs to aid in developing a more thorough understanding of the myriad ways of describing and analyzing properties of multivariate and vector-valued functions.

Emphasis will be placed on students expressing fluency with numerical, algebraic, visual, and verbal interpretations of concepts. Students can expect to collaborate in small groups on many assignments, and projects. The face-to-face sessions will create opportunities for in-person collaborative work and opportunities to visualize and apply the theoretical concepts from class in a real-world context.

Prerequisites: Completion of one full year of Single Variable Calculus AB or BC (or equivalent).

  UC Approved: Calculus