Numerical Methods for Nonlinear Equations with Matlab for Civil Engineering Major

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LANGUAGE

Matlab

NONLINEAR EQUATIONS

(Change major or language)

Major

Civil


BACKGROUND
	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]
PHYSICAL PROBLEM
	How do you find the maximum sagging in a bookshelf? Using strength of materials and statics fundamentals, see how the problem results in a nonlinear equation. [PDF] [DOC]
NUMERICAL METHOD
	BISECTION METHOD
		How does bisection method work? [PDF] [DOC] A Power point presentation on bisection method [PDF] [PPT] Simulation of bisection method [PDF] [MFILE] Convergence Simulation of bisection method [PDF] [MFILE] Pitfall: Slow convergence of bisection method simulation [PDF] [MFILE] Test your knowledge of bisection method [HTML] [PDF] [DOC]
	NEWTON-RAPHSON METHOD
		How does Newton-Raphson method work? [PDF] [DOC] A Power point presentation on Newton-Raphson method [PDF] [PPT] Simulation of Newton-Raphson method [PDF] [MFILE] Convergence simulation of Newton-Raphson method [PDF] [MFILE] Pitfall: Division by zero in Newton-Raphson method simulation [PDF] [MFILE] Pitfall: Slow Convergence at Inflection Points in Newton-Raphson method simulation [PDF] [MFILE] Pitfall: Root jumps over several roots in Newton-Raphson method simulation [PDF] [MFILE] Pitfall: Roots oscillates around local maxima and minima in Newton-Raphson method simulation [PDF] [MFILE] Test your knowledge of Newton-Raphson method [HTML] [PDF] [DOC]
	SECANT METHOD
		How does secant method work? [PDF] [DOC] A Power point presentation on secant method [PDF] [PPT] Simulation of secant method [PDF] [MFILE] Convergence Simulation of secant method [PDF] [MFILE] Pitfall: Division by zero in secant method simulation [PDF] [MFILE] Pitfall: Root jumps over several roots in secant method simulation [PDF] [MFILE] Test your knowledge of Secant method [HTML] [PDF] [DOC]
ANECDOTES
	Quest for cubic equation solution [PDF] [DOC] Newton [HTML] [PDF] [DOC] Raphson [HTML] [PDF] [DOC] Galois [HTML] [PDF] [DOC]

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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, 0341468 and 0717624. 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 Matlab, MathCAD, USF, FAMU and MSOE. Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License. Based on a work at numericalmethods.eng.usf.edu.