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1-091-InvestigatingSlopeFields-ModelingScenario

Author(s): Ben Dill1, Holly Zullo2

1. Helena MT USA 2. Huntsman Cancer Institute, Salt Lake City UT USA

Keywords: slope fields population

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Abstract

Resource Image Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss the behavior of the solution curves.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

In this activity, students are introduced to the concepts of equilibrium and categorizing solutions based on qualitative behavior.

This activity is to be used early in a differential equations course, after students have had initial exposure to basic differential equations models. This activity is also suitable for a Calculus II course that includes an introduction to differential equations. We use the dfield software to generate the slope field graphs.

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Authors

Author(s): Ben Dill1, Holly Zullo2

1. Helena MT USA 2. Huntsman Cancer Institute, Salt Lake City UT USA

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