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BJH Geogebra Book
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1. Chapter 1
- Complex Mapping of Parametric Curve
- Sequences in GeoGebra
- Matrices Used To Generate Fibonacci Sequence
- Triangle de Sierpinski.
- Fractales lineales
- Penrose -Escher Triangle
- Graphing Complex Solutions
- Complex analysis: equations
- A complex thing made simple with GeoGebra
- Transform Fourier 3
- Transform Fourier 1
- Transform Fourier 2
- Pythagoras Waves
- Complex Numbers and Transformations
- Copy of zentangle
- Copy of Locus Examples
- Pythagoras Waves
- Polar Cartesian Comparison
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2. Geometry of Euclidian Space
- Addition of vectors
- Scalar multiplication
- Vector product
- Plotting 3D surfaces
- Parametric surfaces
- Klein bottle
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3. Vector-Valued Functions
- Vector fields in 2D
- Vector field 3D
- Dynamic Frenet-Serret frame
- Vector Fields
- Divergence and Curl calculator
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4. Integrals over paths and surfaces
- Path integral for planar curves
- Area of fence Example 1
- Line integral: Work
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BJH Geogebra Book
bjhenders88, Apr 7, 2014
Table of Contents
- Chapter 1
- Complex Mapping of Parametric Curve
- Sequences in GeoGebra
- Matrices Used To Generate Fibonacci Sequence
- Triangle de Sierpinski.
- Fractales lineales
- Penrose -Escher Triangle
- Graphing Complex Solutions
- Complex analysis: equations
- A complex thing made simple with GeoGebra
- Transform Fourier 3
- Transform Fourier 1
- Transform Fourier 2
- Pythagoras Waves
- Complex Numbers and Transformations
- Copy of zentangle
- Copy of Locus Examples
- Pythagoras Waves
- Polar Cartesian Comparison
- Geometry of Euclidian Space
- Addition of vectors
- Scalar multiplication
- Vector product
- Plotting 3D surfaces
- Parametric surfaces
- Klein bottle
- Vector-Valued Functions
- Vector fields in 2D
- Vector field 3D
- Dynamic Frenet-Serret frame
- Vector Fields
- Divergence and Curl calculator
- Integrals over paths and surfaces
- Path integral for planar curves
- Area of fence Example 1
- Line integral: Work
Chapter 1
-
1. Complex Mapping of Parametric Curve
-
2. Sequences in GeoGebra
-
3. Matrices Used To Generate Fibonacci Sequence
-
4. Triangle de Sierpinski.
-
5. Fractales lineales
-
6. Penrose -Escher Triangle
-
7. Graphing Complex Solutions
-
8. Complex analysis: equations
-
9. A complex thing made simple with GeoGebra
-
10. Transform Fourier 3
-
11. Transform Fourier 1
-
12. Transform Fourier 2
-
13. Pythagoras Waves
-
14. Complex Numbers and Transformations
-
15. Copy of zentangle
-
16. Copy of Locus Examples
-
17. Pythagoras Waves
-
18. Polar Cartesian Comparison
Complex Mapping of Parametric Curve
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Image of the parametric curve under the complex mapping . Drag the time slider and input the appropriate functions. The blue curve is the parametric and the red curve is the image under the complex mapping. The arrow shows there the leading point of the parametric curve is mapping to. |
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Addition of vectors
Addition of two vectors.
Drag the vectors around. You can change the magnitude and direction of the vectors too. To show the parallelogram rule, place the vectors at the origin.
Vector fields in 2D
Path integral for planar curves
This worksheet shows a geometrical representation of the path integral for planar curves.
If is of class and the composite function is continuous, then we define
When , this integral has a geometric interpretation as the area of a fence.
Path integral for planar curves
Move the points in the plane to change the shape of the curve. You can change the surface as well.
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