
9002SGroundWaterFlow
31 Aug 2020  Modeling Scenarios
The goals of this project are to compare a conceptual onedimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences. We derive the initial groundwater flow equation, and guide students through a solution. We describe the laboratory set up and...

Remote Teaching Module  Car Suspensions
28 Jul 2020  General Resources  Contributor(s): Karen Bliss
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is installed....

Remote Teaching Module  Car Suspensions
28 Jul 2020  General Resources  Contributor(s): Karen Bliss
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is installed....

3105SFrequencyResponse
22 Jul 2020  Modeling Scenarios  Contributor(s): Karen Bliss
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

Remote Teaching Module  Separation of Variables
21 Jul 2020  General Resources
This module uses the scenario: Ebola Outbreak in West Africa to introduce and apply the technique of separation of variables. The students first have a warm up to give them background on the scenario, they review topics they need to know for the module, they start the...

3034TCarSuspensions
14 Jul 2020  Modeling Scenarios  Contributor(s): Karen Bliss
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

3034TCarSuspensions
14 Jul 2020  Modeling Scenarios  Contributor(s): Karen Bliss
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

3034SCarSuspensions
14 Jul 2020  Modeling Scenarios  Contributor(s): Karen Bliss
We examine the springmassdashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

3027SBobbingDropping
10 Jul 2020  Modeling Scenarios  Contributor(s): Karen Bliss
We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs
16 Jun 2020  General Resources  Contributor(s): Karen Bliss
We place here all the materials in support of the SIMIODE Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs. This Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a springmass using...

1088SRoomTemperature
15 Jun 2020  Modeling Scenarios  Contributor(s): Karen Bliss
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

Remote Teaching Module  Modeling the Spread of Oil Slick
10 Jun 2020  General Resources  Contributor(s): Karen Bliss
We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module  Modeling the Spread of Oil Slick.This module contains1) (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...

Remote Teaching Module  Modeling a Falling Column of Water
07 Jun 2020  General Resources
{xhub:include type="stylesheet" filename="pages/resource.css"}{xhub:include type="stylesheet" filename="pages/scudemaccordion.css"}We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module  Modeling the Falling Column of Water.This module...

3031SSpringCost
28 May 2020  Modeling Scenarios  Contributor(s): Karen Bliss
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

5010SDNADegradation
21 Apr 2020  Modeling Scenarios  Contributor(s): Karen Bliss
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

2009NoakeSleighAirflowInfectionHospitalWards
29 Mar 2020  Potential Scenario Ideas  Contributor(s): Karen Bliss
2009NoakeSleighAirflowInfectionHospitalWardsNoakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791S800.Abstract: Understanding the risk of...

1001dSHotelPopulationDecay
03 Jul 2019  Modeling Scenarios  Contributor(s): Karen Bliss
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

1001dSHotelPopulationDecay
03 Jul 2019  Modeling Scenarios
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

3067SRLCSeriesCircuit
28 Apr 2019  Modeling Scenarios  Contributor(s): Karen Bliss
In this validationoriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

7011TextSCoupledSystemLaplace
31 Mar 2019  Technique Narratives  Contributor(s): Karen Bliss
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...