# Multivariable calculus

Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

#### Double and triple integrals

Volume under a surface with double integrals. Triple integrals as well.

#### Partial derivatives, gradient, divergence, curl

Thinking about forms of derivatives in multi-dimensions and for vector-valued functions: partial derivatives, gradient, divergence and curl.

#### Line integrals and Green's theorem

Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem.

#### Surface integrals and Stokes' theorem

Parameterizing a surface. Surface integrals. Stokes' theorem.

#### Divergence theorem

Divergence theorem intuition. Divergence theorem examples and proofs. Types of regions in 3D.