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2004 ASME Curriculum Innovation Award |
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| ABOUT | RESOURCES | REQUIREMENTS | SEARCH | FAQS | SITE INDEX | ||
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LANGUAGE Maple |
NONLINEAR EQUATIONS |
Major General |
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BACKGROUND |
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Get acquainted with solving quadratic equations [PDF] [DOC] On solving a cubic equation exactly [PDF] [DOC] Test your knowledge on background of nonlinear equations [HTML] [PDF] [DOC]
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PHYSICAL PROBLEM |
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The float in a commode submerges to a certain depth in water. Using Newton's third law of motion and Archimedes principle, this problem of finding the depth to which the float submerges results in a nonlinear equation. [PDF] [DOC]
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NUMERICAL METHOD |
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How does bisection method work? [PDF] [DOC] A Power point presentation on bisection method [PDF] [PPT] Simulation of bisection method [PDF] [MWS] Convergence Simulation of bisection method [PDF] [MWS] Pitfall: Slow convergence of bisection method simulation [PDF] [MWS] Test your knowledge of bisection method [HTML] [PDF] [DOC]
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How does Newton-Raphson method work? [PDF] [DOC] A Power point presentation on Newton-Raphson method [PDF] [PPT] Simulation of Newton-Raphson method [PDF] [MWS] Convergence simulation of Newton-Raphson method [PDF] [MWS] Pitfall: Division by zero in Newton-Raphson method simulation [PDF] [MWS] Pitfall: Slow Convergence at Inflection Points in Newton-Raphson method simulation [PDF] [MWS] Pitfall: Root jumps over several roots in Newton-Raphson method simulation [PDF] [MWS] Pitfall: Roots oscillates around local maxima and minima in Newton-Raphson method simulation [PDF] [MWS] Test your knowledge of Newton-Raphson method [HTML] [PDF] [DOC]
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How does secant method work? [PDF] [DOC] A Power point presentation on secant method [PDF] [PPT] Simulation of secant method [PDF] [MWS] Convergence Simulation of secant method [PDF] [MWS] Pitfall: Division by zero in secant method simulation [PDF] [MWS] Pitfall: Root jumps over several roots in secant method simulation [PDF] [MWS] Test your knowledge of Secant method [HTML] [PDF] [DOC]
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ANECDOTES |
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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant 0126793 and 0341468. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE. |
