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Modeling Scenario

1-136-MarriageAge-ModelingScenario

Author(s): Tracy Weyand

Rose-Hulman Institute of Technology

Keywords: messages marriage using social sciences in forecasting directed

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Abstract

Resource Image Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They are then expected to analyze the behavior of these models,

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Description

They are then expected to analyze the behavior of these models, both mathematically (for example, by analyzing the stability of equilibrium points) and physically (determining whether the solution makes sense or not). Reasonable initial conditions are discussed. Finally, an alternatively scaled model is presented, and students are asked to relate this solution to the previous one.

There are many reasons someone may make the decision to or not to get married. Similarly there are many factors that cause people to get married at a wide variety of ages. Here's my story: I was fresh out of college when I got the phone call from my friend that I've had since preschool asking me to be in her wedding. I excitedly agreed. Fast forward a year: the wedding just happened and I'm telling my best friend from high school that she better wait a while until my bank account is replenished before she asks me to be in her wedding. It's only a month later when I get a phone call from her that begins ``Please hear me out before you hang up," and I find myself getting ready to be in another wedding.

Is there a correlation? Is that when my friends were at the ``common age" for (a first) marriage? Let's see if we can find an age at which people marry the most quickly; i.e. an age at which the fraction of people who are married increases the most rapidly.

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Authors

Author(s): Tracy Weyand

Rose-Hulman Institute of Technology

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