Slopes: A Graphical View of Differential Equations
Presentation Type
Poster
Keywords
slopes application app graphical view differential equations solutions
Department
Mathematics
Major
Computer Science
Abstract
Slopes is an interactive environment for exploring graphical solutions to ordinary differential equations available for the iPhone and iPad. Slopes consists of five activities, each which contains preloaded examples and the ability to enter your own equations and systems. “Slopefields” and “Phase Planes” both plot vector fields and solutions corresponding to multiple initial conditions. “Systems” dynamically solves systems of up to nine equations. “Waves” solves second-order constant coefficient equations animates the corresponding spring-mass system or RLC circuit. “Methods” constructs numerical approximations of a single ordinary differential equation using Euler’s method as well as Second and Fourth Order Runge-Kutta methods. Slopes is a playground for ODEs. You can use it for homework, in-class activities or a new research project.
Faculty Mentor
Timothy Lucas
Funding Source or Research Program
Summer Undergraduate Research Program, Undergraduate Research Fellowship
Location
Waves Cafeteria
Start Date
23-3-2018 2:00 PM
End Date
23-3-2018 3:30 PM
Slopes: A Graphical View of Differential Equations
Waves Cafeteria
Slopes is an interactive environment for exploring graphical solutions to ordinary differential equations available for the iPhone and iPad. Slopes consists of five activities, each which contains preloaded examples and the ability to enter your own equations and systems. “Slopefields” and “Phase Planes” both plot vector fields and solutions corresponding to multiple initial conditions. “Systems” dynamically solves systems of up to nine equations. “Waves” solves second-order constant coefficient equations animates the corresponding spring-mass system or RLC circuit. “Methods” constructs numerical approximations of a single ordinary differential equation using Euler’s method as well as Second and Fourth Order Runge-Kutta methods. Slopes is a playground for ODEs. You can use it for homework, in-class activities or a new research project.