Browsing by Subject "Newton's method"
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Item Iteration as an avenue for mathematical exploration(2013-08) Joyoprayitno, Anne Christine; Luecke, John EdwinThis 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.Item The role of interactive visualizations in the advancement of mathematics(2012-08) Alvarado, Alberto; Daniels, Mark L.; Odell, Edward W.This report explores the effect of interactive visualizations on the advancement of mathematics understanding. Not only do interactive visualizations aid mathematicians to expand the body of knowledge of mathematics but it also allows students an efficient way to process the information taught in schools. There are many concepts in mathematics that utilize interactive visualizations and examples of such concepts are illustrated within this report.