Mathematics · Boston College
This version of Multivariable Calculus is designated Honors, intended for students with strong preparation and high motivation. Building on Euclidean geometry and motivated by Newton's approach to Kepler's Laws of Planetary motion, the topics covered include vector analysis, partial differentiation and differentiability, gradient, curl and divergence, multiple integration, change of variables, line and surface integrals, Green's theorem, Stokes' theorem and the Divergence theorem.