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1. 22 Jul 2020 | Modeling Scenarios

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.

2. 22 Jul 2020 | Modeling Scenarios

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.

3. 10 Jul 2020 | Modeling Scenarios

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.

4. 30 May 2020 | Modeling Scenarios

We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

5. 30 May 2020 | Modeling Scenarios

We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

6. 29 May 2020 | Modeling Scenarios

We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

7. 29 May 2020 | Modeling Scenarios

We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

8. 21 Apr 2020 | Modeling Scenarios

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...

9. 21 Apr 2020 | Modeling Scenarios

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...

10. 21 Apr 2020 | Modeling Scenarios

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...

11. 19 Apr 2020 | Modeling Scenarios

A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

12. 16 Apr 2020 | Presentations

Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

13. 16 Apr 2020 | Presentations

Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

14. 14 Apr 2020 | Modeling Scenarios

We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along with two governing assumptions; social pressure experienced by unmarried individual increases as...

15. 06 Apr 2020 | Potential Scenario Ideas

2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquationsElishakoff, Isaac. 2019.   Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22 SynopsisIn this paper, simple ordinary differential...

16. 06 Apr 2020 | Potential Scenario Ideas

2019-Hu-ModellingLongitudinalDataWithDEsHu,Yueqin and Raymond Treinen. 2019.  A one-step method for modelling longitudinal datawith differential equations. British Journal of Mathematical and Statistical Psychology. 72: 38–60Abstract: Differential equation models...

17. 06 Apr 2020 | Potential Scenario Ideas

2014-WronaEtAl-Two-compartmentModelAsTeachingToolForCholesterolHomeostasisWrona, Artur, Joanna Balbus,  Olga Hrydziuszko,  and Krystian Kubica. 2015. How We Teach: Classroom And Laboratory Research Projects -- Two-compartment model as a teaching tool for cholesterol homeostasis. Adv...

18. 06 Apr 2020 | Potential Scenario Ideas

1975-RoddaEtAl-OneCompartmentOpenModelSomeStatisticalAspectsOfParameterEstimation The One-Compartment Open Model: Some Statistical Aspects of Parameter EstimationRodda, B. E., C. B. Sampson, D. W. Smith.1975.  The One-Compartment Open Model: Some Statistical Aspects of...

19. 05 Apr 2020 | Potential Scenario Ideas

2007-HelfgottSeier-MathStatAspectsOfEnzymeKineticsHelfgott,  Michel and Edith Seier. 2007.  Some Mathematical and Statistical Aspects of Enzyme Kinetics.The Journal of Online Mathematics and Its Applications. Volume 7, October 2007, Article ID 1611Abstract:  Most...

20. 05 Apr 2020 | Potential Scenario Ideas

2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDEDontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11. Available from...