Student-Created Calc III Labs
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|Cervone, Wicklin; The Geometry Center|
|Five computer calculus labs that explore the application of mathematics to modeling real-world phenomena. Tangent Planes to Surfaces (exploring the tangent planes and gradient vectors of 2- and 3-dimensional curves, examining explicit, parametric, and implicit surfaces); A Mathematical Model of Heartbeat (using a planar differential equation to model the human heartbeat); Predator-Prey Models with Mutualism and Child-care (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 (9-12)|
|Resource Types:||Lesson Plans and Activities, Internet-Based Projects, Maple|
|Math Topics:||Calculus (Single Variable), Partial Differential Equations, Human Biology, Population|
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