Section outline

  • In this video, you will be introduced to some of the methods for solving nonlinear scalar equations.
    Watch all the videos given to get the full ideas on how these methods works.

    • Nonlinear Scalar Equations File
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    • Introduction to scalar nonlinear equations URL

      What are scalar nonlinear equations?

      Watch the given video to find out.

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    • Bisection method URL
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      The bisection method is an approximation method to find the roots of the given equation by repeatedly dividing the interval. This method will divide the interval until the resulting interval is found, which is extremely small.

    • Bisection method with Scilab Programming URL
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    • Secant method URL
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      The secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. 

    • Secant method URL
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      The secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. 

    • Newton method URL
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    • TRY THIS!! Choice
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      Consider the following function f(x)=x^2+1 in [0,3].

      The numerical results are given by three different methods as below:





      From the given Tables above, choose the best method in solving the given function f(x).


    • Exercises on Bisection method URL

      Use Scilab instead of Octave or Matlab.

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    • ACTIVITY 4 Assignment