Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West
Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West
CODEE Journal
In the early 1980s computer graphics revolutionized the teaching of ordinary differential equations (ODEs). Yet the movement to teach and learn the qualitative methods that interactive graphics affords seems to have lost momentum. There still exist college courses, even at big universities, being taught without the immense power that computer graphics has brought to differential equations. The vast majority of ODEs that arise in mathematical models are nonlinear, and linearization only approximates solutions sufficiently near an equilibrium. Introductory courses need to include nonlinear DEs. Graphs of phase plane trajectories and time series solutions allow one to see and analyze the …
The Upside Of Down Syndrome: Math Is My Superpower!, Heidi Berger
The Upside Of Down Syndrome: Math Is My Superpower!, Heidi Berger
Journal of Humanistic Mathematics
My son Isaac has Down syndrome. He was born in 2015, within a year of me receiving tenure at Simpson College. The experience of being his mother has had a profound effect on me as a mathematician. Having been with him through eleven surgeries over sixteen hospitalizations, I wanted to learn about his medical complexities and, more generally, about coordinated health care for those with chronic illness. To accomplish these goals, I’ve looked to my teaching and research. In the spring of 2016, I designed a sophomore-level mathematical modeling course on the respiratory system. In the summer of 2016, I …