
3130SMatterOfSomeGravity
07 Aug 2019   Contributor(s):: Kurt Bryan
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation. The theme of the project is that one often has a physical model for a system but in which the model contains unknown parameters or...

2017RumbosDifferentialEquaitonsANDModelingLectureNotes
03 Mar 2018   Contributor(s):: Adolfo J. Rumbos
Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities...

Math 216 Demonstrations
12 Sep 2017   Contributor(s):: Brian Winkel
Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with spring...

2008PadirEtAlTeaching Differential Equations in a Diverse Classroom
10 Sep 2017   Contributor(s):: Brian Winkel
Padir, Taskin, Kimberly Muller, Collett Coullard. 2008. Teaching Differential Equations in a Diverse Classroom. ASEE Conference. 13 pp.Diverse means different kinds of engineering majors. The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a...

2012MahaffyCalculus for life Science  Intro to DE
10 Sep 2017   Contributor(s):: Brian Winkel
Mahaffy, Joseph M. 2012. Calculus for the Life Sciences II Lecture Notes – Introduction to Differential Equations. PpowerPoint. 128 slides. http://jmahaffy.sdsu.edu/courses/f11/math122/beamer_lectures/intro_de.pdf . Accessed 9 September 2017.Here is the outline of the material1...

2009ReidKingPendulumMotion
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): 205217,Abstract: A common example of realworld motion that can be modeled by a differential equation, and one easily...

2008LipsmanEtAlSCHOL Project Using Sofware Teach ODE
08 Sep 2017   Contributor(s):: Brian Winkel
Lipsman, R. L., J. E. Osborn, and J. M. Rosenberg. 2008. The SCHOL Project at the University of Maryland: Using Mathematical Software in the Teaching of Sophomore Differential Equations. Journal of Numerical Analysis, Industrial and Applied Mathematics. 3(12): 81103.This is a publication of...

2002FayThePendulumEquation
08 Sep 2017   Contributor(s):: Brian Winkel
Fay, T. 2001.The Pendulum Equation. Int. J. Math. Educ. Sci. Technology. 33(4): 505519.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 fifthorder Taylor series...

2009HowardModelingWithODE
02 Sep 2017   Contributor(s):: Brian Winkel
2009. Howard, Peter. Modeling With ODE. Class Notes. Texas A&M University. 26 pp. http://www.math.tamu.edu/~phoward/m442/modode.pdf Keywords: differential equation, model, reaction, chemistry, carbon dating, rates, mechanics, competition, epidemic, population, pendulum, planetary motion,...

1987Greenwood Video Study of Motion of Pendulum
20 Jun 2015   Contributor(s):: Margaret Stautberg Greenwood
Article Review and AnnotationGreenwood, Margaret Stautberg. 1987. Using videotapes to study underdamped motion of a pendulum: a laboratory project. American Journal of Physics. 55(7): 645648.