Calculus/Multivariable and differential calculus

7.1 Vectors

This is an example of using spherical coordinates in 3 dimensions to calculate the volume of a given shape

7.2 Lines and Planes in Space

7.3 Multivariable Calculus

7.4 Derivatives of Multivariate Functions

7.5 The Chain Rule and Clairaut's Theorem

7.6 Inverse Function Theorem, Implicit Function Theorem

7.7 Vector Calculus

7.8 Vector Calculus Identities

7.9 Inverting Vector Calculus Operators

7.10 Points, Paths, Surfaces, and Volumes

7.11 Helmholtz Decomposition Theorem

7.12 Discrete Analog to Vector Calculus

7.13 Exercises