Calculus/Multivariable and differential calculus

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

Introduction to Multivariable Calculus

7.1 Vectors

7.2 Curves and Surfaces in Space

7.3 Vector Functions

7.4 Introduction to Multivariable Calculus

Differentiation

7.5 Limits and Continuity

7.6 Partial Derivatives

7.7 Chain Rule

7.8 Directional Derivatives and the Gradient Vector

Integration

7.9 Riemann Sums and Iterated Integrals

7.10 Double Integrals

7.11 Triple Integrals

• Change of Variables and The Jacobian

7.12 Derivatives of Multivariate Functions

7.13 The Chain Rule and Clairaut's Theorem

7.14 Inverse Function Theorem, Implicit Function Theorem

7.15 Vector Calculus

7.16 Vector Calculus Identities

7.17 Inverting Vector Calculus Operators

7.18 Points, Paths, Surfaces, and Volumes

7.19 Helmholtz Decomposition Theorem

7.20 Discrete Analog to Vector Calculus

7.21 Exercises