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Multiple Integrals

Polar, Cylindrical, and Spherical Coordinates - Example 1

In mathematics, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of a point or other geometric element on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the "x"-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry.

Matt Just

Multiple Integrals - Intro

Double Integrals - Overview

Double Integrals - Example 1

Double Integrals - Example 2

Double Integrals - Example 3

Double Integrals - Example 4

Triple Integrals - Overview

Triple Integrals - Example 1

Triple Integrals - Example 2

Triple Integrals - Example 3

Triple Integrals - Example 4

Polar, Cylindrical, and Spherical Coordinates - Overview

Polar, Cylindrical, and Spherical Coordinates - Example 1

Polar, Cylindrical, and Spherical Coordinates - Example 2

Polar, Cylindrical, and Spherical Coordinates - Example 3

Polar, Cylindrical, and Spherical Coordinates - Example 4

Applications of Integration - Overview

Applications of Integration - Example 1

Applications of Integration - Example 2

Applications of Integration - Example 3

Applications of Integration - Example 4