
2016ChernMathModelingODE
20 Mar 2020
2016ChernMathModelingODEChern, ILiang. 2016. MATHEMATICAL MODELING AND ORDINARY DIFFERENTIAL EQUATIONS. Department of Mathematics, National Taiwan University. Notes. 223 pp.Table of Contents:1 FirstOrder Single Differential Equations 11.1 What is mathematical...

2004ThoumasisMathDietModel
20 Mar 2020
2004ThoumasisMathDietModelToumasis, Charalampos. 2004. A mathematical diet model. Teaching Mathematics and Its Applications: International Journal of the IMA. 23(4) 165  171. Preprint offered.Abstract:Emphasis on problem solving and mathematical modeling has...

2011WinkelParameterEstimationChemical Kinetics
16 Mar 2020
2011WinkelParameterEstimationChemical KineticsWinkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 3751.Abstract: We discuss the need for devoting time in...

2010SinghModelingTechnologyInnovations
16 Mar 2020
2010SinghModelingTechnologyInnovationsSingh, Amritbir and Ravi Kant Mishra. 2010. A MATHEMATICAL MODELING APPROACH TO STUDY GROWTHRATE OF GRASSROOTS TECHNOLOGICAL INNOVATIONS. IJRRAS 3(2): 177183.Abstract: In this paper we have proposed a simple mathematical model by using...

2020Stepien, Kostelich, Kuang. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review.
27 Feb 2020  Potential Scenario Ideas
Stepien, Kostelich, Kuang. 2020. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review. 62(1): 244263. This is an amazing article in support of a unique approach to an applied mathematics course based on the relationship between mathematics and cancer. We...

JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations
20 Jan 2020  Presentations
Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM  11:00 AM Room 704, Meeting Room...

JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses
20 Jan 2020  Presentations
We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

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.

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.

1001cSPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

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
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): 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...

1143SPopulationModelVariationsMATLAB
17 Feb 2019  Modeling Scenarios
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...

2008WillHansenExamplesOfODEsInPhysics
09 Dec 2018  Potential Scenario Ideas
WittHansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

2004PhoebusReilyTheParachuteProblem
09 Dec 2018  Potential Scenario Ideas
Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem often...

1987RodinMurthyComparativeEvalOfMathModelingBooks
09 Dec 2018  Potential Scenario Ideas
Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 1728.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives the...

1986CookeLinear And Logistic Harvesting ModelsMath Modeling Journal
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Karen Bliss
Cook, K. L. and M. Witten. 1986. Onedimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301340.Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and continuous modelswith and without harvestingare reviewed. Both...

6065SInternetPlatformUsers
30 Oct 2018  Modeling Scenarios
A model estimating the volume of users interacting through a twosided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

6019SEnablingEpidemicExploration
17 Sep 2018  Modeling Scenarios
We offer several strategies for estimating parameters in models of epidemics, one using a MichaelisMenten saturation infected rate.