Spring; Grades 11–12
Prerequisite: Accelerated Calculus or equivalent; Linear Algebra preferred
Taught by: Indian Springs School
An accelerated approach to vector calculus intended for future math, physics, and CS majors. Course topics include generalized vectors, functions of several variables and partial derivatives, the gradient, optimization including gradient descent, potential functions and conservative vector fields, line integrals, double and triple integrals, cylindrical and spherical coordinate systems, surface area, divergence and curl, Greens Theorem and Stokes Theorem, and general change of coordinates. Time-permitting, differential forms will be introduced.