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LANGUAGE Mathcad |
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] [MCD] Convergence Simulation of bisection method [PDF] [MCD] Pitfall: Slow convergence of bisection method simulation [PDF] [MCD] 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] [MCD] Convergence simulation of Newton-Raphson method [PDF] [MCD] Pitfall: Division by zero in Newton-Raphson method simulation [PDF] [MCD] Pitfall: Slow Convergence at Inflection Points in Newton-Raphson method simulation [PDF] [MCD] Pitfall: Root jumps over several roots in Newton-Raphson method simulation [PDF] [MCD] Pitfall: Roots oscillates around local maxima and minima in Newton-Raphson method simulation [PDF] [MCD] 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] [MCD] Convergence Simulation of secant method [PDF] [MCD] Pitfall: Division by zero in secant method simulation [PDF] [MCD] Pitfall: Root jumps over several roots in secant method simulation [PDF] [MCD] Test your knowledge of Secant method [HTML] [PDF] [DOC]
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ANECDOTES |
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