Uma introdução à curvas planas
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2015-11-06
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Universidade Federal de Goiás
Resumo
Beginning with the concept plan and how it can be represented in a Vector Plan.
Show the identity of vectors and the basic properties of the vector sum with examples
and continue with the properties of the Scalar product and how to nd the Angle
Between Vectors. After we nd the projection vectors and the distance between a point
and a Straight.
In the next chapter, I review on Conic Sections. Tract of Ellipse, after Hyperbole
and analyze talking about the parable and its utilities.
In sequence, show the Parametric equations of a curve. Come to a formula of how
to nd a tangent vector and how to nd the length of an arc. Show the usefulness
of the Frenet formulas and do the Fundamental Theorem of Plane Curves and their
utilities.
To end tract Importance of Mathematics in Primary Education with a little history
of Dynamic Geometry Software and Software Geogebra, showing how to make some
charts in GeoGebra. My goal is to show the beauty of mathematics and attract people
to the area.
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GOMES, Anderson de Azevedo. Uma introdução à curvas planas. 2015. 79 f. Dissertação (Mestrado profissional em matemática) - Universidade Federal de Goiás, Goiânia, 2015.