Tags: experiment

All Categories (1-20 of 26)

  1. 1-142-S-WaterBottles

    22 Aug 2021 | | Contributor(s):: Brody Dylan Johnson, Elodie Pozzi

    This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version. The modeling scenario leads the students through an...

  2. 3-069-S-HeatInBar

    12 Aug 2021 | | Contributor(s):: Yuxin Zhang

    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches. A series of experiments are designed to study the effects of materials, ambient fluid flows, geometric characteristics, and...

  3. 3-076-S-CircuitBuilding

    27 Jul 2021 | | Contributor(s):: Chiu Choi

    In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients. They will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closed-form solution...

  4. 2007-Helfgott,  Michel and Edith Seier - Some Mathematical and Statistical Aspects of Enzyme Kinetics.

    05 Apr 2020 | | Contributor(s):: Brian Winkel

    2007-HelfgottSeier-MathStatAspectsOfEnzymeKineticsHelfgott,  Michel and Edith Seier. 2007.  Some Mathematical and Statistical Aspects of Enzyme Kinetics. The Journal of Online Mathematics and Its Applications. Volume 7, October 2007, Article ID...

  5. 2012-Transtrum, Mark K and Peng Qiu - Optimal experiment selection for parameter estimation in biological differential equation models.

    02 Apr 2020 | | Contributor(s):: Brian Winkel

    Transtrum, Mark K and Peng Qiu. 2012. Optimal experiment selection for parameter estimation in biological differential equation models. Bioinformatics.  13(181): 1-12.See https://bmcbioinformatics.biomedcentral.com/articles/10.1186/1471-2105-13-181...

  6. 2006-MacWilliams, Matt - Developing Ordinary Differential Equations to Describe the Motion of a Paper Helicopter

    15 Mar 2020 | | Contributor(s):: Brian Winkel

    MacWilliams, Matt. 2006.  Developing Ordinary Differential Equations to Describe the Motion of a Paper Helicopter. The Review: A Journal of Undergraduate Student Research. 8(8): 33-42.See https://fisherpub.sjfc.edu/ur/vol8/iss1/8/ .Abstract: Since George Box's...

  7. 9-020-S-HeatDiffusion

    14 Oct 2019 | | Contributor(s):: Kimberly Spayd, James Puckett

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  8. 1-053-S-SlimeSpread

    30 Aug 2018 | | Contributor(s):: Brian Winkel

    We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

  9. 2018-Bauer, Jessica and Eric Sullivan - Brewing the Perfect Cup of Tea with Differential Equations

    18 Jan 2018 | | Contributor(s):: Eric Sullivan, Jesica A Bauer

    Brewing the Perfect Cup of Tea with Differential EquationsBy Jesica Bauer and Eric Sullivan, Carroll CollegeA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego...

  10. 2012-Urbano, Lensyl - The Draining of a Plastic Bottle: Integrating a Physics Experiment into Calculus.

    09 Oct 2017 | | Contributor(s):: Brian Winkel

    Urbano, Lensyl. 2012. The Draining of a Plastic Bottle: Integrating a Physics Experiment into Calculus.  Montessori Muddle.See http://montessorimuddle.org/2012/05/01/the-draining-of-a-jug-integrating-a-physics-experiment-into-calculus/ . Accessed 9 October 2017.Abstract: I...

  11. 2017-Winkel, Brian - Experiences with Teaching Differential Equations in Context Using Modeling

    25 Sep 2017 | | Contributor(s):: Brian Winkel

    Brian Winkel, Director SIMIODE, gave a talk at Department of Mathematics, Seminar, at Clarkson University, Potsdam NY USA on 28 September 2017.Title: Experiences with Teaching Differential Equations in Context Using ModelingAbstract: We share experiences and examples of using modeling to...

  12. 2003-Yildirim, Necmettin and Michael C. Mackey - Feedback Regulation in the Lactose Operon: A Mathematical Modeling Study and Comparison with Experimental Data.

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    Yildirim, Necmettin and Michael C. Mackey. 2003.  Feedback Regulation in the Lactose Operon: A Mathematical Modeling Study and Comparison with Experimental Data. Biophysical Journal. 84:  2841–2851.   See https://pubmed.ncbi.nlm.nih.gov/12719218/...

  13. 9-120-S-HorizontalBeam

    22 Nov 2016 | | Contributor(s):: Gregg Waterman, Tiernan R Fogarty

    This scenario is designed to lead students to discover a differential equation that models the vertical deflection of a horizontal beam under different boundary conditions. Vertical deflection occurs as a result of the weight of the beam alone, with no compressive force at the ends or distributed...

  14. A Three-Fold Approach to the Heat Equation: Data, Modeling, Numerics

    13 Oct 2016 | Posted by Brian Winkel

    James Puckett and Kimberly Spayd have authored a wonderful article in the current issue of PRIMUS with full citation: Spayd, K. and J. Puckett. 2016. A Three-Fold Approach to the Heat Equation:...

    https://www.simiode.org/blog/2016/10/a-three-fold-approach-to-the-heat-equation-data-modeling-numerics

  15. 1-061-S-PotatoCooling

    05 Oct 2016 | | Contributor(s):: Brian Winkel

    We model the cooling of a baked potato and compare it to student-collected data.

  16. 1-001B-S-MAndM-DeathImmigrationMystery

    27 Jun 2016 | | Contributor(s):: Brian Winkel

    We describe a classroom activity in which students use M&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student - of that student's choice. Collected data on generation or iteration and population  is then...

  17. 1-028-S-SouthernSweetIcedTea

    25 Jun 2016 | | Contributor(s):: Troy Henderson

    We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea.  We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.

  18. 2010-Jungck, John R., Holly Gaff, and Anton E. Weisstein - Mathematical Manipulative Models: In Defense of "Beanbag Biology".

    30 Jun 2015 | | Contributor(s):: John R. Jungck, Holly Gaff, Anton E. Weisstein

    Jungck, John R., Holly Gaff, and Anton E. Weisstein. 2010.  Mathematical Manipulative Models: In Defense of “Beanbag Biology”. CBE—Life Sciences Education. 9: 201–211.See https://www.lifescied.org/doi/pdf/10.1187/cbe.10-03-0040 .This paper offers up...

  19. 2006-Ashline, George and Joanna Ellis-Monaghan - How high? How fast? How long? Modeling water rocket flight with calculus.

    25 Jun 2015 | | Contributor(s):: Joanna Ellis-Monaghan, George Ashline

    Ashline, George and Joanna Ellis-Monaghan. 2006. How high? How fast? How long? Modeling water rocket flight with calculus. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 16(2): 121-137.See https://www.tandfonline.com/doi/abs/10.1080/10511970608984140...

  20. 2014-Groetsch, C. W. and S. A. Yost - Vertical Projection in a Resisting Medium:  Revelations on Observations of Mersenne. 

    20 Jun 2015 | | Contributor(s):: C. W. Groetsch, S. A. Yost

    Groetsch, C. W. and S. A. Yost. 2014. Vertical Projection in a Resisting Medium:  Revelations on Observations of Mersenne.  The American Mathematical Monthly. 21(6): 499-505.Article Abstract:  This article, inspired by a 17th-century woodcut, validates empirical observations of...