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I will be covering the content from 15th Chapter of Thomas's Calculus for engineering mathematics.

Session 1:Notion of double integration with d help of single integration, GeoGebra & rainfall exmple

Session 1:Notion of double integration with d help of single integration, GeoGebra & rainfall exmple

Session 2 : Examples on double integration examples over rectangle using Riemann sums.

Session 2 : Examples on double integration examples over rectangle using Riemann sums.

Session 3: Examples on Iterated integrals & importance of Fubini's Theorem over rectangular domains.

Session 3: Examples on Iterated integrals & importance of Fubini's Theorem over rectangular domains.

Session 4: Examples on Iterated integrals & importance of Fubini's Theorem over arbitrary region.

Session 4: Examples on Iterated integrals & importance of Fubini's Theorem over arbitrary region.

Session 5: Examples on Change of order of integration and splitting of domains into disjoint unions.

Session 5: Examples on Change of order of integration and splitting of domains into disjoint unions.

Session 6: Why does the example given here is not contradicting Fubini's theorem?

Session 6: Why does the example given here is not contradicting Fubini's theorem?

Session 7: How double integration help us to find area of the region in a plane. Concept & examples.

Session 7: How double integration help us to find area of the region in a plane. Concept & examples.

Session 8: Why average value of a function is defined in terms of integration?

Session 8: Why average value of a function is defined in terms of integration?

Session 9: What are Polar Coordinates? & how Polar Coordinate system is different from Cartesians.

Session 9: What are Polar Coordinates? & how Polar Coordinate system is different from Cartesians.

Session 10: How to solve Double integrals problem using Polar Coordinates. Concept and examples.

Session 10: How to solve Double integrals problem using Polar Coordinates. Concept and examples.

Session 11:Center of Mass, Centroid, Moment of Inertia & Radius of Gyration using Double integration

Session 11:Center of Mass, Centroid, Moment of Inertia & Radius of Gyration using Double integration

Session 12: Important points in Triple integration along with examples.(Part I)

Session 12: Important points in Triple integration along with examples.(Part I)

Session 13: Problems in Triple integration. Sketching surface using GeoGebra ( Part II).

Session 13: Problems in Triple integration. Sketching surface using GeoGebra ( Part II).

Session 14: What and why Cylindrical coordinate system. Examples without and with change of order.

Session 14: What and why Cylindrical coordinate system. Examples without and with change of order.

Session 15: Spherical coordinates, Spherical transformations: Concepts and examples.

Session 15: Spherical coordinates, Spherical transformations: Concepts and examples.

Session 16: Jacobian matrix whose entries are first order partial derivatives & Jacobian determinant

Session 16: Jacobian matrix whose entries are first order partial derivatives & Jacobian determinant

Session 17: Substitution in Multiple Integrals: Its importance, Steps to solve and example(Part I).

Session 17: Substitution in Multiple Integrals: Its importance, Steps to solve and example(Part I).

Session 18: Substitution in Multiple integrals: Only Examples ( Part II).

Session 18: Substitution in Multiple integrals: Only Examples ( Part II).

Session 19: Problem using substitution in triple integration, find volume of mod(xyz) over ellipsoid

Session 19: Problem using substitution in triple integration, find volume of mod(xyz) over ellipsoid