## Tags: order

### Resources (41-60 of 119)

1. 18 Aug 2018 | | Contributor(s):: Swarn Singh

It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following graphical and numerical approaches. Here we also discuss the order of accuracy of the methods and...

2. 14 Aug 2018 | | Contributor(s):: Richard Spindler

An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

3. 09 Jun 2018 | | Contributor(s):: Randy Boucher, Ryan Edmund Miller

Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

4. 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...

5. 01 Dec 2017 | | Contributor(s):: Brian Winkel

Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp.5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations:...

6. 26 Nov 2017 | | Contributor(s):: Brian Winkel

Endale, Mersha Amdie. 2015. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the...

7. 11 Sep 2017 | | Contributor(s):: Brian Winkel

Mallett, Travis and Josh Fetbrandt. 2009. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and...

8. 11 Sep 2017 | | Contributor(s):: Brian Winkel

2012-Applied Differential Equations. Notes. 34 pp.Set of notes on solution strategies for first order differential equations with attention to detail in solutions and several models: tank mixing problems, mortgage, escape velocityKeywords: differential equation, model, first order, tank...

9. 10 Sep 2017 | | Contributor(s):: Brian Winkel

Bourne, Murray. 2012.  Bourne-Modeling fish stocks.https://www.intmath.com/blog/mathematics/modeling-fish-stocks-7377  . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order,...

10. 10 Sep 2017 | | Contributor(s):: Brian Winkel

Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly.  120: 806-821.See https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.120.09.806 .Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix...

11. 10 Sep 2017 | | Contributor(s):: Brian Winkel

Howard P. 2005. Modeling with ODE. Notes. 48 pp.See https://www.math.tamu.edu/~phoward/m412/modode.pdf .Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion,...

12. 10 Sep 2017 | | Contributor(s):: Brian Winkel

Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. See http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a...

13. 09 Sep 2017 | | Contributor(s):: Brian Winkel

Bialek, William. Boxes and Arrow to Differential Equation.  https://www.princeton.edu/~wbialek/intsci_web/dynamics1.2.pdf   From An Integrated, Quantitative Introduction to the Natural SciencesPart 1:  Dynamical Models at...

14. 09 Sep 2017 | | Contributor(s):: Brian Winkel

AccessPharmacy (McGraw Ill). Applied Biopharmaceutics & Pharmacokinetics. Chapter 7.  Pharmacokinetics of Oral.See https://accesspharmacy.mhmedical.com/book.aspx?bookID=1592 .  Accessed 7 September 2017.From the web page.“The pharmacokinetics of drugs...

15. 09 Sep 2017 | | Contributor(s):: Brian Winkel

Peletier, L. A. 2018   Ordinary Differential Equations in Pharmacodynamics. Notes. 23 pp.See http://www.math.leidenuniv.nl/~peletier/azcourse04.pdf . Accessed 8 September 2017.Good mix of theory, application, solution technique in a number of areas of applications of...

16. 08 Sep 2017 | | Contributor(s):: Brian Winkel

Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus.  Physiologia Plantarum. 20:  957-976.https://onlinelibrary.wiley.com/doi/10.1111/j.1399-3054.1967.tb08383.x Abstract:“A theory is given for circumnutations in plants,...

17. 08 Sep 2017 | | Contributor(s):: Brian Winkel

Israelsson, D. and A. Johnsson. 1969. Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study.  Physiologia Plantarum. 22:  1226-1237.See https://pubmed.ncbi.nlm.nih.gov/20925673/ .The paper studies geotropical induced phase-shifts in circumnutations (turning)...

18. 07 Sep 2017 | | Contributor(s):: Andras Domokos

Domokos , Andras. 2017. Differential Equations - Theory and Applications – Notes. 126 pp. California State University, Sacramento.  See http://www.csus.edu/indiv/d/domokos/diffeq.pdf . Accessed 6 September 2017.The author says in the...

19. 06 Sep 2017 | | Contributor(s):: Brian Winkel

Liakos, Kelly. A lion chases down an antelope.  http://calculus7.com/id9.html Accessed 4 September 2017.This material comes the site, Calculus Animations, Graphics and Lecture Notes, which is dedicated to  a very creative teacher, Kelly Liakos. The opening says,  “In...

20. 04 Sep 2017 | | Contributor(s):: Michael Grayling

Several models using first order differential equations are offered with some questions on formulating a differential equations model