Tags: error

All Categories (1-15 of 15)

  1. 1984-Brunner, Walter and Dennis D. Focht - Deterministic Three-Half-Order Kinetic Model for Microbial Degradation of Added Carbon Substrates in Soil

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

    BRUNNER, WALTER AND DENNIS D. FOCHT. 1984.  Deterministic Three-Half-Order Kinetic Model for Microbial Degradation of Added Carbon Substrates in Soil. APPLIED AND ENVIRONMENTAL MICROBIOLOGY. 47(1): 167-172.See https://pubmed.ncbi.nlm.nih.gov/16346454/ .Abstract: The...

  2. 3-015-S-StyrofoamBallFall

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

    We are given data on a falling Styrofoam ball and we seek to model this motion.

  3. 2011-Winkel, Brian - Parameter estimates in differential equation models for chemical kinetics.

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

    Winkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37-51.See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2010.500806. Abstract: We discuss...

  4. 2-005-Text-S-LinearizeItAll

    09 Dec 2019 | | Contributor(s):: Don Hickethier

    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...

  5. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | | Contributor(s):: Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  6. 6-070-S-BeerBubbles

    24 Apr 2018 | | Contributor(s):: Michael Karls

    The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top.  The system solution is then used to verify...

  7. 1999-Khorasheh, Farhad , Amir Mahbod Ahmadi, and Abbas Gerayeli - Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation.

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

    Khorasheh, Farhad , Amir Mahbod Ahmadi, and Abbas Gerayeli. 1999.  Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation. J Pharm Pharmaceut Sci. 2 (3):92-98.See https://europepmc.org/article/med/10953255 .Purpose. For simple pharmacokinetic...

  8. 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.

  9. 2015-Sullivan, Eric and Brian Winkel - Parameter Estimation

    15 Jul 2015 | | Contributor(s):: Brian Winkel

    We offer a file related to the effort to estimate parameters in differential equation or function models. The file shows the MatLab code and the comparable Mathematica code for the same results.

  10. 1991-Lobry, J. R. and J. P. Flandois - Comparison of Estimates of Monod's Growth Model Parameters from the Same Data Set

    25 Jun 2015 | | Contributor(s):: J. P. Flandois, J. R. Lobry

    Lobry, J. R. and J. P. Flandois. 1991. Comparison of Estimates of Monod's Growth Model Parameters from the Same Data Set. Binary. 3: 20-23.The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains...

  11. 8-002-S-Text-TrigSumRepresentation

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields.

  12. 1-015-S-Torricelli

    03 Jun 2015 | | Contributor(s):: Brian Winkel

    We  model the height of a falling column of water in a  right circular cylinder (radius = 4.17 cm) emptying through a small hole on the side of the cylinder.  Indeed, in all the videos below where are referred to in this Modeling Scenario the cylinder is a 2 liter soda pop...

  13. 1-012-S-SublimationCarbonDioxide

    03 Jun 2015 | | Contributor(s):: Brian Winkel

    We offer data on the sublimation of dry ice (carbon dioxide) with data collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the differential equation, estimate the parameters in...

  14. 1-030-S-IntraocularGasBubbles

    01 Jun 2015 | | Contributor(s):: Brian Winkel

    SPANISH LANGUAGE VERSION  We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODE-SPANISH.cls. Names will be x-y-S-Title-StudentVersion-Spanish and x-y--T-Title-TeacherVersion-Spanish

  15. 1-002-S-Tossing

    11 May 2015 | | Contributor(s):: Brian Winkel

    We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.We add a Hand Out Working Version which can be used in class authored by Rachel ...