
3067SRLCSeriesCircuit
28 Apr 2019  Modeling Scenarios  Contributor(s): Virgil Ganescu
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).

3067TRLCSeriesCircuit
28 Apr 2019  Modeling Scenarios  Contributor(s): Virgil Ganescu
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).

1107SClothDry
27 Apr 2019  Modeling Scenarios  Contributor(s): Brian Winkel
We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

1107TClothDry
27 Apr 2019  Modeling Scenarios  Contributor(s): Brian Winkel
We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

SCUDEM and COMAP MCM/ICM Talk at University of Nebraska  Lincoln
22 Apr 2019  CompetitionsSCUDEM  Contributor(s): Elizabeth Anne Carlson
Elizabeth Carlson, holder of NSF Graduate Research Fellowship at the University of Nebraska  Lincoln, Lincoln NE USA, gave a talk in the spring 2018 to the mathematics club at her school on Math Modeling Competitions. Enjoy!

1060TextSRegularPerturbation
21 Apr 2019  Technique Narratives  Contributor(s): Mark A. Lau
This Technique Narrative presents an introduction to a set of analytical approximations referred to as regular perturbation.This is a particular mathematical tool within the broader set of perturbation methods. In general, perturbation methods are analytical techniques for obtaining...

1060TextTRegularPerturbation
21 Apr 2019  Technique Narratives  Contributor(s): Mark A. Lau
This Technique Narrative presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation methods. In general, perturbation methods are analytical techniques for obtaining...

MathBowl from SCUDEM  SIMIODE Challenge Using Differential Equations
21 Apr 2019  CompetitionsSCUDEM  Contributor(s): Brian Winkel
We offer complete materials on MathBowl event which is student activity held during annual SCUDEM  SIMIODE Challenge Using Differential Equations event. All materials can be found under black box "Download" above and to the right with Click on "Additional materials...

SCUDEM I, II, and III Problems and Additional Problems Materials
03 Apr 2019  General Resources  Contributor(s): Brian Winkel
SCUDEM – SIMIODE Challenge Using Differential Equation ModelingProblems and Additional Issue forSCUDEM I (October 2017), SCUDEM II (April 2018), and SCUDEM III (October 2018) See SCUDEM home page for details of SCUDEM IV 2019, 9 November 2019.General InformationFor each SCUDEM event...

1005TextTNavigatingNumericalMethods
31 Mar 2019  Technique Narratives  Contributor(s): Corban Harwood
This technique narrative guides a discoverybased approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor method. These methods are motivated by...

1005TextSNavigatingNumericalMethods
31 Mar 2019  Technique Narratives  Contributor(s): Corban Harwood
This technique narrative guides a discoverybased approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor method. These methods are motivated by...

2019 Matthew Donahue MAA OklahomaArkansas Section Presentation  Tulsa's Next Top Model
31 Mar 2019  Presentations  Contributor(s): Matthew Donahue
Matthew Donahue, of The University of Tulsa, gave a talk, "Tulsa's Next Top Model," at the 30 March 2019, Spring MAA OklahomaArkansas Section Meeting about hosting the forthcoming SCUDEM IV 2019 event on 9 November 2019 at his school. Several faculty asked about how the...

7011TextTCoupledSystemLaplace
31 Mar 2019  Technique Narratives  Contributor(s): Mitaxi Mehta
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...

7011TextSCoupledSystemLaplace
31 Mar 2019  Technique Narratives  Contributor(s): Mitaxi Mehta
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...

5090SSolidParticleErosion
27 Mar 2019  Modeling Scenarios  Contributor(s): Rich Laverty
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface. Examination of the solution will yield a formula for the...

5090TSolidParticleErosion
27 Mar 2019  Modeling Scenarios  Contributor(s): Rich Laverty
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface. Examination of the solution will yield a formula for the...

1109SEmployeeAttrition
25 Mar 2019  Modeling Scenarios  Contributor(s): Lyle Clifford Smith
This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

1109TEmployeeAttrition
25 Mar 2019  Modeling Scenarios  Contributor(s): Lyle Clifford Smith
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a firstorder linear decay model with two populations. This is intended for introductory students and is paired well with exponential growth/decay...

5005TextTStiffDifferentialEquations
05 Mar 2019  Technique Narratives  Contributor(s): Kurt Bryan
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

5005TextSStiffDifferentialEquations
05 Mar 2019  Technique Narratives  Contributor(s): Kurt Bryan
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...