Tags: analysis

All Categories (1-10 of 10)

  1. 2009-Bifurcation Analysis

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

    2009. Bifurcation Analysis – One Dimensional ODEs. Notes. 11 pp.This document contains many rich illustrations of various kinds of bifurcation in the context of applications. E.g. harvesting, magnetometer, spruce budworm,Kywords: differential equation, model, bifurcation, analysis,...

  2. 2014-Merwin-PDEModelingWatrFlowInFlorida

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

    Merwin, Katelyn. 2014. Analysis of a Partial Differential Equation and Real World Applications Regarding Water Flow in the State of Florida. Thesis. Embry-Riddle Aeronautical University. McNair Scholars Research Journal. Vol. 1, Article 8. Available at: http://commons.erau.edu/mcnair/vol1/iss1/8...

  3. 2009-ReidKing-PendulumMotion

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

    Reid, Thomas F.  and Stephen C. King. 2009. Pendulum Motion and Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 19(2): 205-217,Abstract: A common example of real-world motion that can be modeled by a differential equation, and one easily...

  4. 2002-Fay-ThePendulumEquation

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

    Fay, T. 2001.The Pendulum Equation.  Int. J. Math. Educ. Sci. Technology.  33(4): 505-519.Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it. On the one hand, we suggest that the third and fifth-order Taylor series...

  5. Successful modeling motivation for beam equations

    04 Mar 2017 | | Contributor(s):: Tiernan R Fogarty

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation illustrates a successful empirical modeling activity for several beam configurations with...

  6. 1-021-S-FeralCatControl

    24 Jan 2016 | | Contributor(s):: Rachel Bayless, Nathan Pennington

    This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use...

  7. 1967-Wagner-Computers in pharmacokinetics

    20 Jun 2015 | | Contributor(s):: J. G. Wagner

    Wagner,  J. G.  1967. Computers in pharmacokinetics. Clinical Pharmacology and Therapeutics.  8(1)-Part 2:   201-218. This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a...

  8. 1-026-S-Evaporation

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

    We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We  ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...

  9. 1-005A-S-OilSlick

    30 May 2015 | | Contributor(s):: Karen Bliss

  10. 1-005-S-OilSlick

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

    We describe a modeling activity for students in  which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...

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