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 weekly on homework, problem sets, and projects in small groups and in tutorial with their instructor online via Zoom. The face-to-face sessions may include visits with experts in a variety of fields utilizing Calculus techniques in their work as well as group activities and projects.
Prerequisites: Completion of one full year of Single Variable Calculus AB or BC (or equivalent).
About the InstructorS
There are 2 tandem sections of MVC in the 2022-2023 school year.
Frank Cassano – Marin Academy
Frank Cassano teaches math at Marin Academy and is also the Math Department Chair. Entering his fourth year at MA, Frank has taught Algebra 2, Precalculus Honors, and Calculus. Prior to Marin Academy, Frank worked at the Taft School in CT and Poly Prep in Brooklyn.
Frank earned his B.S. from Union College and M.S. from St. Joseph’s University. In his spare time, he enjoys woodworking, playing baseball with his sons, and continuing to explore California with his family.
Kevin Rees – Marin Academy
Kevin teaches math at Marin Academy and is also the 9th-grade Dean. In his sixteen years at Marin Academy he has taught all levels of math from Algebra I to Multivariable Calculus, including courses in Computer Science, Number Theory, and the new transdisciplinary course on Smart Cities and Data Science. Prior to Marin Academy he worked at American and International schools in Europe.
Kevin earned a B.A. from Colgate University and a M.S. in Mathematical Sciences from Clemson University. In his spare time he enjoys reading fiction, riding road and mountain bikes, trying to surf, hiking, and spending time with his family.
Student Testimonials
It was fun to be able to have a relaxed, collaborative environment every morning where I could get help from other students if I needed it.
Senior at Marin Academy, 2021-2022The in-person sessions— especially the SFMOMA trip and the Pixar guest speaker— were so valuable and I learned a lot!
Senior at Marin Academy, 2021-2022I most enjoyed the furthering of my math education at my own pace. This perk was especially evident for the parametric curves and surfaces section at the SFMOMA. Being able to work on my own time at my own pace was freeing.
Senior at Lick-Wilmerding, 2021-2022The course is very well organized in the way it is presented, which makes it easier to manage my time and stay on track.
Senior at Urban, 2018-2019