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SUMMARY:Modelling with data in an introductory numerical methods course
DTSTART;VALUE=DATE-TIME:20180712T050000Z
DTEND;VALUE=DATE-TIME:20180712T053000Z
DTSTAMP;VALUE=DATE-TIME:20241113T042714Z
UID:indico-contribution-83@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Celestine Woodruff (James Madison University)\nModel
ling with real data in the classroom not only gives students a sense of wh
y the mathematics matters\, but it also gives them perspective on how mess
y the real world is and how we adapt our models to suit non-perfect data.
We present a class activity and project for an introductory numerical meth
ods course in which Calculus 1 and 2 are prerequisites. In the classroom w
e introduce curvature and a method for calculating curvature using discret
e points. We then explore how we could use curvature to identify sinkholes
given data from high resolution digital elevation models (DEMs). Outside
of class\, groups of students create codes in Matlab to calculate the curv
ature at each boundary point of some given depression. Each group then dec
ides how to use these individual curvatures to determine whether a depress
ion is a sinkhole. Once all projects are complete the students present the
ir methods in class and test their codes on actual geological data. Althou
gh this project is geological in nature\, it could be used with any applic
ation in which identification is based on roundness.\n\nhttps://conference
s.maths.unsw.edu.au/event/2/contributions/83/
LOCATION:University of Sydney New Law School/--106
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/83/
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