StudentCreated Calc III Labs
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http://www.geom.uiuc.edu/education/UMTYMP/CalcIII/1994/StudentLabs/  


Cervone, Wicklin; The Geometry Center  
Five computer calculus labs that explore the application of mathematics to modeling realworld phenomena. Tangent Planes to Surfaces (exploring the tangent planes and gradient vectors of 2 and 3dimensional curves, examining explicit, parametric, and implicit surfaces); A Mathematical Model of Heartbeat (using a planar differential equation to model the human heartbeat); PredatorPrey Models with Mutualism and Childcare (differential equations that govern population growth); Lagrange Multipliers (geometry and algebraic techniques involved in finding extrema of a multivariable function on a bounded region); Evolutes and Involutes of Plane Curves (background and definitions). Created by high school students who took Calculus III at the Geometry Center through the University of Minnesota Talented Youth Mathematics Program (UMTYMP).  


Levels:  High School (912) 
Languages:  English 
Resource Types:  Lesson Plans and Activities, InternetBased Projects, Maple 
Math Topics:  Calculus (Single Variable), Partial Differential Equations, Human Biology, Population 
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