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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Parametric equations : an investigation into ladder applications

Foster, Stephanie Ann 02 February 2012 (has links)
Parametric equations are used to represent the pathway of an object in terms of time or another changing variable. This allows, for example, for equations that are written using two variables to be examined in terms of the passage of time. In this paper the author examines two traditional application problems whose solutions can be enriched through the use of parametric equations. In the first, the falling ladder problem, a ladder is leaned against a wall then pulled away with a constant velocity. Deriving parametric equations for this scenario permits the pathway of the ladder to be plotted. Parametric equations also make it possible for the horizontal and vertical velocities of the ladder to be examined separately. The second problem is that of maximizing the length of a ladder that can fit around a hallway corner. In this problem an envelope algorithm is first developed, then parametrized to further investigate this scenario. Using these two situations, this report ultimately shows how parametric equations can be used to give a more thorough approach to some of today’s most classic calculus problems. / text
2

Vlastnosti vybraných rovinných křivek / The properties of selected plane curves

TOMANDLOVÁ, Lucie January 2015 (has links)
The thesis is focused on the properties of the selected plane curves of order higher than two and one transcendent curve. To each curve an overview of its properties which are then derived and described in detail is given. All curves are enriched with their images that are created in mathematical software GeoGebra. In addition, to these images the text links directly to GeoGebra are added, where some interesting features are described and demonstrated.

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