Geometric Interpretation of Differential Equations

Online Textbook Chapters

Document Document

Brief description of four methods for finding a solution to an equation of the form f(x) = 0.

Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: None
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Document Document

Definition, with an applet for applying the method and a discussion of the benefits and disadvantages of this method.

Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: None
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Document Document

Definition of this modification to Newton's Method that does not require calculation of the derivative at each step of the method.

Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: Newton's Method (OT13.1)
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Document Document

Definition of an alternative to Newton's Method, including a discussion of this method's advantages and drawbacks.

Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: Newton's Method (OT13.1)
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Document Document

Definition of another alternative to Newton's Method, in which intervals are split in half until a solution is reached once the endpoints of the interval have opposite signs.

Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: Newton's Method (OT13.1) and Another Linear Method (OT13.3)
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Java Applet

Java Applet. Java Applet
Requires Java Virtual Machine

Applet which shows the application of Newton's Method to find a numerical solution to a specified function.

Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: Newton's Method (OT13.1)
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