Iteration as an avenue for mathematical exploration

dc.contributor.advisor	Luecke, John Edwin
dc.creator	Joyoprayitno, Anne Christine	en
dc.date.accessioned	2013-12-12T16:13:17Z	en
dc.date.issued	2013-08	en
dc.date.submitted	August 2013	en
dc.identifier.uri	http://hdl.handle.net/2152/22663	en
dc.description	text	en
dc.description.abstract	This report explores several applications of iteration and the various connections that can be made to different areas of mathematics. The ties iteration has to the Wada Property, bifurcation diagram, root finding, and applications in geometry are all investigated. Finally, a rationale for incorporating iteration into secondary mathematics courses to support a more robust curriculum is discussed.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en_US	en
dc.subject	Iteration	en
dc.subject	Newton's method	en
dc.subject	Bifurcation diagram	en
dc.title	Iteration as an avenue for mathematical exploration	en
dc.date.updated	2013-12-12T16:13:17Z	en
dc.description.department	Mathematics	en
thesis.degree.department	Mathematics	en
thesis.degree.discipline	Mathematics	en
thesis.degree.grantor	The University of Texas at Austin	en
thesis.degree.level	Masters	en
thesis.degree.name	Master of Arts	en