
4039SFallingDarts
21 Jan 2022   Contributor(s):: Jacob Paul Duncan
Most projectile motion and free fall models are based on the assumption that gravity is the only force acting on the object. Here we develop, solve, and analyze a second order nonhomogeneous differential equation model for free fall which incorporates air resistance. Students will solve the model...

1102CSCancerGrowth
19 Jan 2022   Contributor(s):: Jennie D'Ambroise
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and Gompertz. Students solve firstorder differential...

Adam Rumpf
I am an applied mathematics instructor with a background in mathematical biology and operations research. I am quite interested in mathematics education and have released many openaccess...
https://www.simiode.org/members/6128

Engineering Design Optimization using Calculus Level Methods: A Casebook Approach (Manual)
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20 Mar 2021 
Posted by Phil B Brubaker
https://www.simiode.org/members/5865/collections/calculuslevelprogramminglanguageandapps

Phil B Brubaker
My HistoryI attended Oregon State U. and majored 3 years in Electrical Engineering. Then I switched to a Math major for my final years and graduated with a B.S. in Math (1967). Developed...
https://www.simiode.org/members/5865

James D Cordeiro
https://www.simiode.org/members/5080

2018Akman, Devin, Olcay Akman, and Elsa Schaefer  Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization.
24 Mar 2020   Contributor(s):: Brian Winkel
Akman, Devin, Olcay Akman, and Elsa Schaefer. 2018. Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization. Journal of Applied Mathematics. Volume 2018. pp 110.See https://econpapers.repec.org/article/hinjnljam/9160793.htm...

2008Duran, Ahmet and Gunduz Caginalp  Parameter optimization for differential equations in asset price forecasting
23 Mar 2020   Contributor(s):: Brian Winkel
Duran, Ahmet and Gunduz Caginalp. 2008. Parameter optimization for differential equations in asset price forecasting. Optimization Methods and Software. 23: 551574.See https://privpapers.ssrn.com/sol3/papers.cfm?abstract_id=1145002 .Abstract: A system of nonlinear asset flow...

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...

2011Winkel, 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): 3751.See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2010.500806. Abstract: We discuss...

Lester Ingber
Prof. Lester Ingber has published over 100 papers and books in theoretical physics, neuroscience, finance, optimization, combat analysis, karate, and education. Through Lester Ingber Research (LIR)...
https://www.simiode.org/members/4402

1118SSolowEconomicGrowth
22 Aug 2018   Contributor(s):: Yuri Yatsenko

1102SCancerGrowth
29 Jul 2018   Contributor(s):: Jue Wang
This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...

2012Nokkaew, A. Et Al.  Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm.
08 Sep 2017   Contributor(s):: Brian Winkel
Nokkaew, A. Et Al. Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm. WSEAS TRANSACTIONS on COMPUTERS. 11(11): 377386.See http://www.wseas.org/multimedia/journals/computers/2012/56122.pdf . Accessed 7 September 2017.ABSTRACT: This paper presents a...

2002Chai, William  Optimal initial angle to fire a projectile.
02 Sep 2017   Contributor(s):: Brian Winkel
Review and AnnotationChai, William. 2002. Optimal initial angle to fire a projectile. Pi Mu Epsilon Journal. 12(7): 363364.This article addresses the following problem:“Assume a projectile is fired without air resistance and lands at a height y above its initial vertical...

5080SSpaceFlightRecolonize
06 May 2017   Contributor(s):: Brian Allen, Karoline Hood
This project is a combination of differential equations, multivariable calculus, and vector calculus with the use of technology to model colonization of a new planet.

Nathan Krislock
https://www.simiode.org/members/1607

1050SBargingAhead
10 Feb 2016   Contributor(s):: Timothy Pennings
As captain of a barge, you need to determine how fast to transportyour barge up river against the current in order to minimize the expended energy.Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However, if...

2010Winkel, B. J.  Parameter estimates in differential equation models for chemical kinetics.
20 Jun 2015   Contributor(s):: Brian Winkel
Winkel, B. J. 2010. 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...