2017-Goulet, D. - Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments.
20 Mar 2020 | Contributor(s):: Brian Winkel
Goulet, D. 2017. Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments. SIAM REVIEW. 58(2): 331–353.See https://locus.siam.org/doi/abs/10.1137/151004707 .Abstract. In many chemical and biological applications, systems of differential equations containing...
30 Oct 2018 | | Contributor(s):: Victoria Rayskin
A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....
18 Aug 2018 | | Contributor(s):: Suruchi Singh
The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so...
2000-deOlivera, Paulo Murilo Castro, Antonio Delfino, Eden Vieira Costa and Carlos Alberto Faria Leite - Pinhole Water Flow From Cylindrical Bottles.
26 Nov 2017 | | Contributor(s):: Brian Winkel
deOlivera, Paulo Murilo Castro, Antonio Delfino, Eden Vieira Costa and Carlos Alberto Faria Leite. 2000. Pinhole Water Flow From Cylindrical Bottles. Phys.Educ. 35(2): 110-119.See http://seniorphysics.com/physics/pinhole_water_flow.pdf .From the opening of the...
2009-Edelstein-Keshet, Leah - Chapter 11 – Differential Equations. Notes.
10 Sep 2017 | | Contributor(s):: Brian Winkel
Edelstein-Keshet, Leah. 2009. Chapter 11 – Differential Equations. See http://ugrad.math.ubc.ca/coursedoc/math103/keshet.notes/chapter11Notes.pdf . Accessed 10 September 2017.Thorough and very readable material on many topics in differential equation, e.g.,...
2017-Hussain, Tariq - Draining Hazardous Liquids From Tank
03 Sep 2017 | | Contributor(s):: Brian Winkel
Hussain, Tariq. Undated. Draining Hazardous Liquids during Chemical Processing. Royal Academy of Engineers. http://www.raeng.org.uk/publications/other/13-flow-in-a-tank-final. 4 pp.This is part of a larger set of educational materials from the Royal Academy of Engineers, but...
15 Aug 2017 | | Contributor(s):: Brian Winkel
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
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...
2007-Myers, Joseph and Brian Winkel - Modeling a Mystery Circuit in Mathematics Class Using Differential Equations, Laplace Transforms, and Transfer Functions
31 May 2015 | | Contributor(s):: Joseph Myers, Brian Winkel
From Myers, Joseph and Brian Winkel. 2007. Modeling a Mystery Circuit in Mathematics Class Using Differential Equations, Laplace Transforms, and Transfer Functions. The UMAP Journal, 28(1): 15-26.We discuss the introduction, student discovery, and teaching of a system of differential...