Interactive applications supporting the teaching, learning, and loving of mathematics.
- Dimension
- Precalculus
- Single-variable calculus
- Multi-variable calculus
- Differential equations
- Miscellaneous
Dimension
These applets illustrate ideas and constructions which grow out of Edwin A. Abbott’s Flatland: A Romance of Many Dimensions.
- A Square passing through Lineland
- A Cube passing through Flatland
- Projections of a tumbling cube
- Projection of a square onto a line
- Parallel projection of a hypercube
- Perspective projection of a hypercube
- Cross-sections + projection of a cube (this applet is meant to provide a lower-dimensional analog of these cross-sections of a hypercube)
Precalculus
- The focus and directrix of a parabola
- The foci of a hyperbola
- Exploring sine and cosine
- Parameterizing an ellipse
- Parameterizing a line
Single-variable calculus
- Exploring limits: The n-gon
- Limit of a function at a hole
- Taylor polynomial approximations
- Region bounded by polar curves
- Definition of the derivative (and another one)
- Definition of the definite integral
- The values and graph of a derivative
Multi-variable calculus
- Level curves
- How gradients relate to level curves
- Simple volumes in cylindrical coordinates
- Simple volumes in spherical coordinates
- Circulation in 2-space
- Line integral of a scalar function
- Iterated double integral
- Temperature along a helical path near a heat source
- Tangent plane to a surface
- Partial derivatives and slope
- Orthogonal projection
- Understanding the line integral of a vector field in 3-space
Differential equations
- Newton’s law of heating and cooling
- Slope field of a first-order differential equation
- Solutions and slope fields
- Euler’s method
- Simple harmonic motion
- Damped harmonic motion
- Phase planes and portraits
kristenvonbecker 