Spring 2019 | Harvard University
This course offers an intuitive and geometric approach to multivariable calculus and linear algebra. Beginning with foundational concepts such as the Pythagorean Theorem and Gauss-Jordan Elimination, we explore vector operations, surfaces, and parametrizations. We then dive into differential calculus in multiple dimensions, including Taylor approximations, extrema, and constraints. Integral calculus topics include arc length, double and line integrals, surface area, and solids. The course culminates with the major theorems of vector calculus—Green’s, Stokes’, and Gauss’—and their discrete analogues.