Tools
Ordinary Differential Equations Manipulatives ("Mathlets")
In the course, we will employ a series of specially written computer toys, or demonstrations, called "Mathlets." You will see them used in lecture occasionally, and each problem set will contain a problem based around one or another of them. Each Mathlet has an associated "Help" file which will open in a new window and provide user instructions.
Funding for the development of the Mathlets was provided by a grant from the The d'Arbeloff Fund for Excellence in MIT Education as part of The d'Arbeloff Interactive Mathematics Project (d'A I M P). The Mathlets were designed and developed in collaboration with Hubert Hohn. Used with permission.
Mathlets
- Amplitude and Phase: 1st Order
- Amplitude and Phase: 2nd Order
- Amplitude and Phase: 2nd Order II
- Beats
- Complex Exponential
- Complex Roots
- Convolution: Accumulation
- Convolution: Flip and Drag
- Damped Vibration
- Damping Ratio
- Euler's Method
- Forced Damped Vibration
- Fourier Coefficients
- Harmonic Frequency Response
- Harmonic Frequency Response II
- Heat Equation
- Isoclines
- Linear Phase Portraits: Cursor Entry
- Linear Phase Portraits: Matrix Entry
- Linearized Trigonometry
- Matrix Vector
- Phase Lines
- Poles and Vibrations
- Solution Targets
- Taylor Polynomials
- Trigonometric Id
- Waves
- Waves II
- Wheel
- Wheel II