If you have gained competence in single variable calculus, and want to learn more, then you might try studying “Multivariable Calculus” from MIT. This course is taught by Professor Denis Auroux. The main focus here is on vector calculus and working with multiple variables. As is usual, you have access to transcripts, lecture notes, exams, and assignments in addition to the lecture videos.
This course includes the following topics: dot products, determinants, matrices, parametric equations, Kepler's Second Law, partial derivatives, least squares, second derivative test, chain rule, Lagrange Multipliers, partial differential equations, polar coordinates, change of variables, vector fields, path independence, flux, spherical coordinates, divergence theorem, line integrals, Stokes' Theorem, and Maxwell's Equations.
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