The multivariable calculus portion of the course extends the ideas of AP Calculus AB and BC to introduce calculus on curves and surfaces in three-dimensional space. This includes vector analysis, partial differentiation, multiple integrals, line integrals, surface integrals, and the core theorems of vector calculus. The linear algebra portion of the course emphasizes techniques of linear algebra with applications. Topics include matrix operations, determinants, linear equations, vector spaces, linear transformations, eigenvalues and eigenvectors, inner products and norms, orthogonality, and linear dynamical systems.  Topics align with the Oakton Community College syllabi for Calculus III and Linear Algebra. In addition to high school credit, two semesters of college math credit may be obtained through the dual credit program of Oakton Community College. An application fee of $25 is required if students elect to receive college credit.

Prerequisite:

• AP Calculus BC
  OR
  AP Calculus AB
• Instructor Recommendation