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Chemical Kinetics
Conditional Remix & Share Permitted
CC BY-NC
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We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We offer many opportunities to model these chemical reactions with data, some of which comes from traditional introductory chemistry textbooks. We ask students to verify their model through parameter estimation. We use Excel’s Trendline addition to graphs/charts to select the models for the data and transformed data to take advantage of Trendline’s set function choices and we also use Mathematica’s direct nonlinear fitting capabilities.

Subject:
Applied Science
Mathematics
Physical Science
Material Type:
Activity/Lab
Author:
Brian Winkel
Date Added:
04/01/2017
Torricelli’s Law -- Modeling with Differential Equations and Data Collection
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this Modeling Scenario we help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column. We offer several sources of simulations on YouTube from which one can collect data and ask students to verify their model through parameter estimation.

This is an example of the type of resources which is freely and openly available under the most generous Creative Commons License at SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations. SIMIODE is about teaching differential equations using modeling and technology upfront and throughout the learning process. You can learn more at our dynamic website, where we offer a community in which colleagues can communicate, collaborate, publish, teach, explore, contribute, etc.

Everything is FREE at SIMIODE.SIMIODE is all about helping faculty to teach differential equations through modeling and technology and we are building a community of resources and support for that purpose. Come join us as faculty and as students. All is FREE. We are building a complete environment for teachers and learners – communication, groups across and intra/inter campus projects for students and teachers, models, data, and videos. For the latter see our YouTube videos on our YouTube Channel for SIMIODE.

Subject:
Applied Science
Mathematics
Material Type:
Activity/Lab
Lesson
Author:
Brian Winkel
Date Added:
01/27/2017