MYMathApps: Calculus

21. Multiple Integrals in Curvilinear Coordinates - Contents

1. Integrating in Polar Coordinates

     1   2   3   4   5
   1. Grid Cells
   2. Integral over a Polar Rectangle
      1. Derivation
   3. Integral over a Non-Rectangular Polar Region
      1. Derivation
   4. Applications
   5. Converting & Mixing, Rectangular & Polar Coordinates

2. Integrating in Cylindrical Coordinates

     1   2   3   4
   1. Grid Cells
   2. Integral over a Cylindrical Region
   3. Applications
   4. Converting & Mixing, Rectangular & Cylindrical Coordinates

3. Integrating in Spherical Coordinates

     1   2   3   4
   1. Grid Cells
   2. Integral over a Spherical Region
   3. Applications
   4. Converting & Mixing, Rectangular & Spherical Coordinates

4. Integrating in 2D Curvilinear Coordinates

     1   2   3   4   5   6
   1. Grid Cells
   2. Grid Cell Area
   3. The Jacobian
   4. Ellipse Example
   5. Diamond Shaped Examples
   6. Applications

5. Integrating in 3D Curvilinear Coordinates

     1   2   3   4   5
   1. Grid Cells
   2. Grid Cell Volume
   3. The Jacobian
   4. Ellipsoid Example
   5. Applications

6. Exercises

     1
   1. Exercises

7. Homework

     1
   1. Homework