Multiple Integrals: Defining Integrals of Functions in R^2

Related lectures (29)

Page 3 of 3

Introduces Riemann sums as approximations of the area under a function's graph.

Covers piecewise continuous functions, their properties, classification based on continuity, and integral types, including improper integrals.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Explores the change of variable formula for integrals and its applications.

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Explores the method of calculating integrals in multiple dimensions using a step-by-step approach and examples.

Explores the integral part of the Fundamental Theorem of Analysis with examples like y = cos(x).

Covers the definitions and properties of double integrals over compact regions.

Explores the Fubini theorem for double and triple integrals, focusing on regular domains and order of integration.