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3-067-S-RLCSeriesCircuit
28 Apr 2019 | Modeling Scenarios | Contributor(s): Virgil Ganescu
In this validation-oriented 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).
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3-067-T-RLCSeriesCircuit
28 Apr 2019 | Modeling Scenarios | Contributor(s): Virgil Ganescu
In this validation-oriented 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).
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1-107-S-ClothDry
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...
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1-107-T-ClothDry
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...
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SCUDEM and COMAP MCM/ICM Talk at University of Nebraska - Lincoln
22 Apr 2019 | Competitions-SCUDEM | 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!
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1-060-Text-S-RegularPerturbation
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...
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1-060-Text-T-RegularPerturbation
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...
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MathBowl from SCUDEM - SIMIODE Challenge Using Differential Equations
21 Apr 2019 | Competitions-SCUDEM | 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...
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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...
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1-005-Text-T-NavigatingNumericalMethods
31 Mar 2019 | Technique Narratives | Contributor(s): Corban Harwood
This technique narrative guides a discovery-based 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...
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1-005-Text-S-NavigatingNumericalMethods
31 Mar 2019 | Technique Narratives | Contributor(s): Corban Harwood
This technique narrative guides a discovery-based 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...
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2019 Matthew Donahue MAA Oklahoma-Arkansas 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 Oklahoma-Arkansas Section Meeting about hosting the forthcoming SCUDEM IV 2019 event on 9 November 2019 at his school. Several faculty asked about how the...
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7-011-Text-T-CoupledSystemLaplace
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...
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7-011-Text-S-CoupledSystemLaplace
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...
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5-090-S-SolidParticleErosion
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...
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5090-T-SolidParticleErosion
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...
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1-109-S-EmployeeAttrition
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...
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1-109-T-EmployeeAttrition
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 first-order linear decay model with two populations. This is intended for introductory students and is paired well with exponential growth/decay...
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5-005-Text-T-StiffDifferentialEquations
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...
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5-005-Text-S-StiffDifferentialEquations
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...