Integral calculus and multiple integrals
A 10-module path through integral calculus and multiple integrals, in study order from foundations to the frontier.
Modules
- Fundamental theorem and mean value theorems for integrals
- Definite integrals and reduction formulae
- Improper integrals and convergence tests
- Beta and Gamma functions
- Differentiation under the integral sign
- Rectification and geometric applications
- Double integrals and area
- Triple integrals and volume
- Change of variables and Jacobians
- Parameter-dependent integrals and applications