MATH 258 ENGINEERING MATHEMATICS

Serdar OKUYUCU, Mar 27, 2017

This folder contains interactive Geogebra files that are useful for the visualization and understanding of vectors, surfaces and volumes in cartesian, circular cylindrical, and spherical coordinate systems.

Table of Contents

  1. Coordinate Systems and Transformations
    1. Cartesian Coordinate System
    2. Cylindrical Coordinate System
    3. Spherical Coordinate System
    4. Constant surfaces in cartesian, cylindrical, and spherical coordinate systems
  2. Del Operator
    1. (App 1) Gradient of a scalar function f(x,y)
    2. (App 2) Gradient of a scalar function f(x,y)
    3. Divergence and Curl
    4. Divergence and curl of a vector field 2D

1.

Coordinate Systems and Transformations

  • 1. Cartesian Coordinate System
  • 2. Cylindrical Coordinate System
  • 3. Spherical Coordinate System
  • 4. Constant surfaces in cartesian, cylindrical, and spherical coordinate systems

1.1.

Cartesian Coordinate System

Cartesian Coordinate System
– Serdar OKUYUCU

1.2.

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1.3.

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1.4.

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2.

Del Operator

  • 1. (App 1) Gradient of a scalar function f(x,y)
  • 2. (App 2) Gradient of a scalar function f(x,y)
  • 3. Divergence and Curl
  • 4. Divergence and curl of a vector field 2D

2.1.

(App 1) Gradient of a scalar function f(x,y)

– Serdar OKUYUCU

2.2.

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2.3.

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2.4.

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