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pro vyhledávání: '"Michael A. Karls"'
Autor:
Michael A. Karls
Publikováno v:
PRIMUS. 27:461-475
In this paper I will outline the process I have developed for conducting applied mathematics research with undergraduates and give some examples of the projects we have worked on. Several of these projects have led to refereed publications that could
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59980e48a6426472d2343680d5a29475
https://doi.org/10.1080/10511970.2016.1193831
https://doi.org/10.1080/10511970.2016.1193831
Autor:
Michael A. Karls, Ahmed Mohammed
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 59:959-987
For a non-negative and non-trivial real-valued continuous functionhΩ× [0, ∞) such thath(x, 0) = 0 for allx∈Ω, we study the boundary-value problemwhereΩ⊆ ℝN,N⩾ 2, is a bounded smooth domain and Δp:= div(|Du|p–2DDu) is thep-Laplacian.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79187964d8f9ccd4f6e64f04d6d0929e
https://doi.org/10.1017/s0013091515000516
https://doi.org/10.1017/s0013091515000516
Publikováno v:
Involve 7, no. 3 (2014), 369-372
In this article, we consider the role of graduate students as mentors in research experience for undergraduates (REU) programs, as reflected by a breakout session at the Trends for Undergraduate Research in Mathematical Sciences (TURMS) conference. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c28e7c3fc10cd450630409bc64ea2f16
https://doi.org/10.2140/involve.2014.7.369
https://doi.org/10.2140/involve.2014.7.369
Autor:
Michael A. Karls
Publikováno v:
PRIMUS. 23:733-747
The wave equation with variable tension is a classic partial differential equation that can be used to describe the horizontal displacements of a vertical hanging chain with one end fixed and the other end free to move. Using a web camera and Tracker
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::483c54ef03d777b4e90fa97821da4fcb
https://doi.org/10.1080/10511970.2013.801382
https://doi.org/10.1080/10511970.2013.801382
Autor:
Michael A. Karls
Publikováno v:
PRIMUS. 21:26-46
After the success of a course on cryptography for a general audience, based on Simon Singh's The Code Book [49], I decided to try again and create a mathematics course for a general audience based on The Physics of Star Trek by Lawrence Krauss [32].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4a568432300d6cfd524a8210c828cb1
https://doi.org/10.1080/10511970902868467
https://doi.org/10.1080/10511970902868467
Autor:
Michael A. Karls
Publikováno v:
PRIMUS. 20:21-38
At the suggestion of a colleague, I read The Code Book, [32], by Simon Singh to get a basic introduction to the RSA encryption scheme. Inspired by Singh's book, I designed a Ball State University Honors Colloquium in Mathematics for both majors and n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e733921f910a5d09accd909e277863b
https://doi.org/10.1080/10511970802348073
https://doi.org/10.1080/10511970802348073
Autor:
Michael A. Karls, Brenda M. Skoczelas
Publikováno v:
Mathematics Magazine. 82:343-353
The beam equation is a classic fourth-order partial differential equation used to de scribe the transverse displacement of a vibrating beam. One may encounter it in an introductory course on boundary value problems or mathematical physics. One par ti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9739618db426f48a203f1c8d13cbc0f
https://doi.org/10.4169/002557009x478364
https://doi.org/10.4169/002557009x478364
Autor:
Donald C. Armstead, Michael A. Karls
Publikováno v:
PRIMUS. 16:162-177
The wave equation is a classic partial differential equation that one encounters in an introductory course on boundary value problems or mathematical physics, which can be used to describe the vertical displacement of a vibrating string. Using a vide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4fcc77f14cc2c7e4c51ec30a9f66cad
https://doi.org/10.1080/10511970608984144
https://doi.org/10.1080/10511970608984144
Autor:
Michael A. Karls, James E. Scherschel
Publikováno v:
American Journal of Physics. 71:678-683
One of the first mathematical models that students encounter is that of the cooling of a cup of coffee. A related, but more complicated, problem is how the temperature in a thermos full of ice-cold water changes as a function of both time and positio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2cf5d7a6d87bbab0a3a9224c98e94ed5
https://doi.org/10.1119/1.1571833
https://doi.org/10.1119/1.1571833
Publikováno v:
Journal of Interdisciplinary Mathematics. 1:33-48
The non-linear differential equation Δu + f(u) = 0 arises in many different physical settings, including nuclear physics, phase transitions in Van der Waals fluids, combustion theory and population genetics. Underlying all of the work that has been
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2e9e4804ec6a5aca90c46a0bf9288ff
https://doi.org/10.1080/09720502.1998.10700242
https://doi.org/10.1080/09720502.1998.10700242