
2017Goulet, 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...

6065SInternetPlatformUsers
30 Oct 2018   Contributor(s):: Victoria Rayskin
A model estimating the volume of users interacting through a twosided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

9001TextSSkinBurnModelNumericalMethods
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...

2000deOlivera, 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): 110119.See http://seniorphysics.com/physics/pinhole_water_flow.pdf .From the opening of the...

2009EdelsteinKeshet, Leah  Chapter 11 – Differential Equations. Notes.
10 Sep 2017   Contributor(s):: Brian Winkel
EdelsteinKeshet, 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.,...

2017Hussain, 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/13flowinatankfinal. 4 pp.This is part of a larger set of educational materials from the Royal Academy of Engineers, but...

1057SFiguringFluidFlow
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.

1015STorricelli
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...

2007Myers, 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): 1526.We discuss the introduction, student discovery, and teaching of a system of differential...