Using the United States Census Data to Introduce Differential Equations. Issue 7 (9th August 2019)

• Record Type: Journal Article
• Authors: Linhart, Jean Marie
• Is Part Of: PRIMUS. Volume 29:Issue 7(2019)
• Page Start: 702
• Page End: 711
• Publication Date: 2019-08-09
• Subjects: United States Census -- modeling -- differential equations -- separation of variables -- logistic equation -- parameter estimation -- finite differences; Mathematics -- Study and teaching (Higher) -- Periodicals; 510.711
• DOI: 10.1080/10511970.2018.1472156
• Languages: English
• ISSNs: 1051-1970

Abstract

Abstract: This article describes a method for using the United States Census data to open a differential equations course. The question of finding a model for the United States population data gives students a first experience with creating a model using differential equations, and also understanding derivatives, what they mean, and how to calculate them in the context of real data. This model-building start motivates further exploration in many of the standard differential equations topics: the method of separation of variables, slope fields, autonomous equations, equilibria, and stability.