1. Prerequiste: Coordinate Systems

In this 24 mins Video Lesson

Cartesian 2D, Polar, Cartesian 3D, Cylindrical, Spherical, and other topics.

Cartesian 2D, Polar, Cartesian 3D, Cylindrical, Spherical, and other topics.

2. Multiple Integrals : Iterated Integrals

In this 47 mins Video Lesson

Introduction to Iterated Integrals, Region of Integration, Change of Order of Integration, Important results when region is rectangular, Areas, and other topics.

Introduction to Iterated Integrals, Region of Integration, Change of Order of Integration, Important results when region is rectangular, Areas, and other topics.

3. Multiple Integrals : Double and Triple Integrals

In this 46 mins Video Lesson

Double Integrals, Triple Integrals, Solving a Triple Integral, Change of variables in Double and Triple Integrals, Finding the new Region after change of variables, Areas using Polar Curves, and other topics.

Double Integrals, Triple Integrals, Solving a Triple Integral, Change of variables in Double and Triple Integrals, Finding the new Region after change of variables, Areas using Polar Curves, and other topics.

4. Multiple Integrals : Volumes

In this 59 mins Video Lesson

Volumes using Double Integral, Volumes Using Triple Integral, Typical Problems related to Volumes, Mass of a Solid and a Plane Lamina, and other topics.

Volumes using Double Integral, Volumes Using Triple Integral, Typical Problems related to Volumes, Mass of a Solid and a Plane Lamina, and other topics.

Multiple Integrals
(2.81 Mb)

Coordinates System
(1.01 Mb)

Multiple Integrals‐Double integration‐definition, Evaluation of Double Integrals, Change of order of integration, Evaluation of double integrals by changing the order of integration and changing to polar form

Triple integration –definition and evaluation (Cartesian, cylindrical and spherical polar coordinates).

Application to double integrals to compute Area, Mass, Volume. Application of triple integral to compute volume.