Tuesday, January 4, 2011

Scribe Post 1/4/2011

We started off class with the Supercorrection Follow-Up Test. There were seven problems, and we were allowed to use calculators on problems 1 + 2. This took us up to 10:10, at which point we began a game centered around slope fields. We had to match pictures of slope fields with their respective differential equations and a general description of their solution curves.

If after this game, anyone is still a little confused, this link offers some practice problems and solutions http://www.education.com/reference/article/slope-fields/

Additionally, check out this link -- you can generate your own slope fields, set display range / number of tick marks, set initial conditions, etc. http://www.math.lsa.umich.edu/courses/116/slopefields.html

Tonight’s homework is on matching differential equations and slope fields. Apologies for the abnormally short scribe post, but this was pretty much all that went on today.

UPDATE: Turns out that slope fields pertain to the more difficult differential equations we've been working on of late rather well, and have done a good job introducing us to the concept of using initial values provided in the wording of the problem to generate our own solution curves.
This site encapsulates that fairly well, and also talks a little bit about Euler's Method, the simplest way of obtaining a numerical solution of a differential equation.

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