Multivariable Calculus (18.02)
MIT's second-semester freshman calculus course covers vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in two and three dimensions. The course is a required subject for MIT undergraduates and this OpenCourseWare version includes lecture notes, assignments with solutions, exams, and video lectures covering topics like the gradient, divergence, curl, and theorems of Green, Stokes, and Gauss. Materials are free to use under a Creative Commons license, with no certificate offered since this is a self-paced open courseware release rather than an instructor-led session. It suits students who have completed single-variable calculus and want a rigorous, MIT-level treatment of vector calculus before moving into differential equations or linear algebra.