Calculus Interacts

# Sage Interactions - Calculus

- Interactive Root Estimator with the Bisection Method Interactive Root Estimator with the Bisection Method.
- Newton's Method Newton's Method.
- A contour map and 3d plot of two inverse distance functions A contour map and 3d plot of two inverse distance functions.
- A simple tangent line grapher A simple tangent line grapher.
- Numerical integrals with the midpoint rule Numerical integrals with the midpoint rule.
- Numerical integrals with various rules Numerical integrals with various rules.
- Some polar parametric curves Some polar parametric curves.
- Function tool. Plots combinations of functions $f$ and $g$.
- Newton-Raphson Root Finding Interact to allow the user to display the Newton-Raphson procedure one step at a time. (FIXME)
- Coordinate Transformations Coordinate Transformations. (Improveme)
- Taylor Series Taylor Series.
- Illustration of the precise definition of a limit Illustration of the precise definition of a limit.
- A graphical illustration of sin(x)/x -> 1 as x -> 0 A graphical illustration of $\sin(x)/x \to 1$ as $x \to 0$.
- Quadric Surface Plotter Quadric Surface Plotter.
- The midpoint rule for numerically integrating a function of two variables The midpoint rule for numerically integrating a function of two variables.
- Gaussian (Legendre) quadrature Gaussian (Legendre) quadrature.
- Vector Calculus: 2-D Motion Vector Calculus: 2-D Motion.
- Vector Calculus: 3-D Motion Vector Calculus: 3-D Motion.
- Multivariate Limits by Definition Multivariate Limits by Definition. (has mysterious file outputs…)
- Multivariate Limits by Definition with a Contour Plot Multivariate Limits by Definition, illustrated with a contour plot. (FIXME)
- Directional Derivatives Directional Derivatives. (unclear plot, needs labeling)
- 3D graph with points and curves 3D graph with points and curves.
- Approximating a function in two variables by differential Approximating a function in two variables by differential.
- Taylor approximations in two variables Taylor approximations in two variables.
- Volumes over non-rectangular domains Volumes over non-rectangular domains
- Lateral Surface Area Lateral Surface Area.
- Parametric surface example Parametric surface example. (FIXME) (html issues)
- Line Integrals in 3D Vector Field Line Integrals in 3D Vector Field.