Multivariable Calculus

Multivariable Calculus begins by exploring vector geometry and functions in more than one variable. Then, after expanding the concepts of limits and continuity to include multivariate functions, students develop a rich understanding of concepts and methods relating to the main topics of Partial Differentiation and Multiple Integration. After generalizing a number of tools from single-variable to multivariate calculus, we explore topics of optimization and geometric applications in areas including physics, economics, probability, and technology. We expand our fluency with topics to address vector fields and parametric functions, and we will understand applications of Green’s and Stokes’ Theorems. We employ multidimensional graphing programs to aid in developing a more thorough understanding of the myriad ways for describing and analyzing properties of multivariate functions. At the conclusion of the course, students have the opportunity to further explore applications of and/or concepts relating to topics covered by the course. Throughout the course, emphasis is 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; face-to-face sessions may include visits with experts analyzing functions in multiple variables as well as group problem-solving activities and assessments. Prerequisites: Completion of one full year of Single Variable Calculus AB or BC.

About the InstructorS

There will be 2 tandem sections of MVC in the 2021-2022 school year.