Lesson #80 Newton's Method

Quote of the Day:
"The lottery is a tax on people who are bad at math."

Objectives:
The student will learn to apply Newton's Method to solving for zeroes of equations.

1. Collect Homework.

2. Newton's Method
   Newton's Method is a means of approximating the roots 
   of an equation.  Graphing calculators have a "Solver" 
   feature which uses Newton's Method for its algorithm. 
   This method assumes that the tangent line is a close 
   approximation of the curve itself.

3. Example:
       
       
       
    Repeat this process until your approximation is within 
      the desired bounds.

    Remarks:
      1. This does not work if the derivative of your 
         initial guess is 0.  Pick a new starting point.
      2. This does not always converge.

4. Example:
       
5. Recursive formula for Newton's Method:
       
4. Assignment
    p. 366 (1, 6) 


       

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