The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Courses » ap-calculus

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Slopefields and Euler's Method
Replies: 5   Last Post: Jan 13, 1998 3:45 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 156
Registered: 12/6/04
Slopefields and Euler's Method
Posted: Oct 13, 1997 9:08 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

I teach AP Calculus, both AB and BC, and as many of you (I think ???) I am
trying to determine the most effective way of introducing Euler' Method and
slopefields. I took Diff Eq in the 70's, but I don't recall a lot of
attention given to slopefields ... or Euler's method for that matter.

I would appreciate any comments, corrections, suggestions, etc. that you may
care to make.

It seems to me that a slopefield is a diagram of many local linear
approximations of the solutions of a given DE through selected points
representing associated boundary values. Euler's method seems to take one
particular boundary value and construct an approximation to that particular
solution ... which also uses local linear approximations to determine
successive data points for the approximate solution. This method seems to
improve its accuracy as the increment of evaluation decreases.

Is this right?


Michael Mullen
Westwood High School
Austin, TX

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.