
2018Sonntag_LectureNotesMathSystemsBiology
22 Mar 2020
2018Sonntag_LectureNotesMathSystemsBiologySontag, Eduardo D. 2018. Lecture Notes on Mathematical Systems Biology. 305 pp. http://www.sontaglab.org/publications.html. Accessed 20 March 2020.The first version of these notes dates back to 2005. They were originally heavily...

2011CasaXPSMechanics ApplicationsDEs
20 Mar 2020
2011CasaXPSMechanics ApplicationsDEsCasaXPS. 2011 Variable Forces and Differential Equations. www.casaxps.com. Table of ContentsVariable Forces and Differential Equations 2Differential Equations 3Second Order Linear Differential...

2007AltafiniODEModelsInSystemBiology
20 Mar 2020
2007AltafiniODEModelsInSystemBiologyAltafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides.From Opening SlideSystems Biology = investigates function of genetic, molecular and cellular processes in a systematic...

2017GouletParameter Estimation in Chemical Kinetics
20 Mar 2020
2017GouletParameter Estimation in Chemical KineticsGoulet, D. 2017. Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments. SIAM REVIEW. 58(2): 331–353.Abstract. In many chemical and biological applications, systems of differential equations containing...

2017BallardDice Activities for DE Models
20 Mar 2020
2017BallardDice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a realworld scenario. Each can be used either...

2016RodriguezApplicationOfSIRModel
20 Mar 2020
2016RodriguezApplicationOfSIRModelRodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: newtrends. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND INFORMATICS. 10: 9297. 2016Abstract: The simplest epidemiologic model composed by mutually exclusive compartments SIR...

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...

2012EhrkeSecondOrderEquationsThreeCases
20 Mar 2020
2012EhrkeSecondOrderEquationsThreeCasesEhrke, John. 2012. Second Order Equations, Three Cases. Presentation 17 slides.Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.

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...

2005TextSLinearizeItAll
09 Dec 2019  Technique Narratives
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

5010SMatrixExponential
12 Sep 2019  Technique Narratives
The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and exercises. It also includes an introduction to...

1084SGoingViral
31 Aug 2019  Modeling Scenarios
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

9015SUnearthingTruth
28 Aug 2019  Modeling Scenarios
This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...

Ice Coverage in the Arctic Climate over time
17 Aug 2019  Articles and Publications
In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

3150SItsABlastFurnace
13 Aug 2019  Modeling Scenarios
This project uses the steadystate heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...