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  1. 2018-Sonntag_LectureNotes-MathSystemsBiology

    22 Mar 2020

    2018-Sonntag_LectureNotes-MathSystemsBiologySontag, 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...

  2. 2011-CasaXPS-Mechanics ApplicationsDEs

    20 Mar 2020

    2011-CasaXPS-Mechanics ApplicationsDEsCasaXPS. 2011 Variable Forces and Differential Equations. www.casaxps.com.     Table of ContentsVariable Forces and Differential Equations  2Differential Equations  3Second Order Linear Differential...

  3. 2017-Goulet-Parameter Estimation in Chemical Kinetics

    20 Mar 2020

    2017-Goulet-Parameter 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...

  4. 2017-Ballard-Dice Activities for DE Models

    20 Mar 2020

    2017-Ballard-Dice 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 real-world scenario. Each can be used either...

  5. 2016-Rodriguez-ApplicationOfSIRModel

    20 Mar 2020

    2016-Rodriguez-ApplicationOfSIRModelRodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: newtrends. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND INFORMATICS. 10: 92-97. 2016Abstract: The simplest epidemiologic model composed by mutually exclusive compartments SIR...

  6. 2016-Chern-MathModeling-ODE

    20 Mar 2020

    2016-Chern-MathModeling-ODEChern, I-Liang. 2016.  MATHEMATICAL MODELING AND ORDINARY DIFFERENTIAL EQUATIONS. Department of Mathematics, National Taiwan University. Notes. 223 pp.Table of Contents:1 First-Order Single Differential Equations 11.1 What is mathematical...

  7. 2004-Thoumasis-MathDietModel

    20 Mar 2020

    2004-Thoumasis-MathDietModelToumasis, 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...

  8. 2011-Winkel-ParameterEstimation-Chemical Kinetics

    16 Mar 2020

    2011-Winkel-ParameterEstimation-Chemical KineticsWinkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37-51.Abstract: We discuss the need for devoting time in...

  9. 2010-Singh-ModelingTechnologyInnovations

    16 Mar 2020

    2010-Singh-ModelingTechnologyInnovationsSingh, Amritbir and Ravi Kant Mishra. 2010. A MATHEMATICAL MODELING APPROACH TO STUDY GROWTHRATE OF GRASSROOTS TECHNOLOGICAL INNOVATIONS. IJRRAS 3(2): 177-183.Abstract: In this paper we have proposed a simple mathematical model by using...

  10. 2020-Stepien, 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): 244-263. 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...

  11. 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...

  12. 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...

  13. 2-005-Text-S-LinearizeItAll

    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...

  14. 1-084-S-GoingViral

    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...

  15. 9-015-S-UnearthingTruth

    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...

  16. 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...

  17. 1-001d-S-HotelPopulationDecay

    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.

  18. Exploring differential equation of HIV infection

    21 Jun 2019 | Presentations

    Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.  

  19. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  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.

  20. 7-011-Text-S-CoupledSystemLaplace

    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...

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