Multivariable Calculus
Calculus in two, three and n dimensions.
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Functions of Several Variables and Partial Derivatives
Surfaces, level curves, partials, chain rule, and tangent planes.
Gradients and Optimization
Directional derivatives, critical points, second-derivative test, and Lagrange multipliers.
Multiple Integrals
Double/triple integrals in rectangular, polar, cylindrical and spherical coordinates.
Vector Calculus
Vector fields, line and surface integrals, Green's, Stokes' and divergence theorems.