Prerequisite: An earned 3, 4, or 5 on AP Calculus BC Exam or a B or higher in a college or university credit in Calculus I and Calculus II
Grade Level: 11-12
This yearlong course is split into two separate college-level courses. The fall semester course of study is on Multivariable Calculus. Topics of study include vector algebra, curves, and surfaces in space, functions of several variables, partial derivatives, the chain rule, the gradient vector, Lagrange multipliers, multiple integrals, volume, surface area, the Change of Variables Theorem, line integrals, surface integrals, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem. The spring semester course of study is on Linear Algebra. Topics of study include Gaussian elimination, matrix algebra, linear independence, span, basis, linear transformations, determinants, eigenvalues, eigenvectors, and diagonalization. Dual credit is available for a separate course fee with the college/university.