\(f(x)\)
Mathlets

- Expression-Based Calculator
A simple calculator taking expressions as input.
- Graphing Functions
Graphs up to five functions.
- Tracing Graphs of Functions
Graphs up to two functions with tracing to explore points of intersection.
- Polar Coordinates
Graphs up to five functions in polar coordinates.
- Parametric Curves
Graphs up to three curves given as pairs of parametric equations.

- Points, Lines, and Vectors in Space
Graphs up to two points, the line segment between them, and the corresponding vector.
- Graphing Functions (3-D)
Graphs up to three functions of two variables in rectangular coordinates.
- Parametric Paths
Graphs up to three paths in space specified parametrically.

- Lines and Slopes
Graphs a line, exploring different forms for the equation.
- Parabolas
Graphs a parabola, exploring the general and standard form equations.
- Combinations and Transformations of Functions
Graphs up to five functions, exploring transformations (shifting, stretching, reflecting) and combinations (artithmetic, composition).
- Periodic Functions
Graphs a single sine function with coefficients for frequency, amplitude, phase, and vertical shift.
- Roots of Polynomials
Graphs a polynomial function and its real roots (x-intercepts, zeros).
- Exponential Functions
Graphs an exponential function using coefficients generated from two data points.
- Conic Sections
Graphs conic sections from the standard form equation, exploring translations and rotations.
- Systems of Linear Equations
Graphs two lines and their intersections, exploring systems of two equations in two unknowns.
- Row Operations
Calculates row operations on a matrix.
- Linear Programming
Provides a visual representation of simple linear programming optimization problems in two variables with two constraint equations.
- Probability: Rolling Dice
Demonstrates frequency and probability distributions with simple dice-rolling experiments
- Probability: Flipping Coins
Demonstrates frequency and probability distributions with weighted coin-flipping experiments
- Probability: Dealing Cards
Demonstrates combinations and probabilities with card-dealing experiments

- Limits
Generates tables to explore limits of a function.
- Continuity
Graphs a function and explores continuity of the function with a converging sequence of arguments.
- Tangent Lines
Graphs a function and a tangent line to the function.
- Derivative Calculator
Computes derivatives symbolically using standard rules, one step at a time.
- Definite Integrals
Graphs a function with positive and negative areas under the graph, computing total area using an antiderivative.
- Riemann Sums
Shows Riemann sums approximating the area under the graph of a function.
- Substitution
Graphs a visual representation of the technique of Substitution for finding definite integrals, viewing the substitution as a change of variables.
- Substitution
Graphs a visual representation of the technique of Substitution for finding definite integrals, viewing the substitution as a change of variables.
- Integration by Parts
Graphs a visual representation of the technique of Integration by Parts for finding definite integrals.
- Mean Value Theorem
Graphs a function, a secant line, and a tangent line simultaneously to explore instances of the Mean Value Theorem.
- Area Between Two Curves
Graphs two functions with positive and negative areas between the graphs, computing total area using antiderivatives.
- Solids of Rotation
Graphs a solid of rotation from a specified region, rotating about either axis.
- Surfaces of Rotation
Graphs a surface of rotation from a specified generating curve, rotating about either axis.
- Newton's Method
Graphs a function and tangent lines associated with the iterative procedure for finding roots.
- Taylor Polynomials
Graphs a curve with polynomial approximations up to degree four.
- Sequences and Series
Graphs terms of a sequence (as points) and partial sums of the corresponding series.
- Differential Equations
Graphs solution curves for initial value problems with a first-order ordinary differential equation.
- Systems of Differential Equations
Graphs the two solution functions for a system of two first-order ordinary differential equations and initial value problems.
- Motion Vectors (2-D)
Graphs a curve in the plane specified parametrically with radius, velocity, and acceleration vectors.
- Motion Vectors (3-D)
Graphs a curve in space specified parametrically with radius, velocity, and acceleration vectors.

- Bezier Curves
Graphs a single segment of a Bezier curve.
- Complex Variable
Graphs a complex-valued map of a complex variable.

Copyright © 2011 Thomas E. Leathrum

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(Applet graphics rendered using HTML5 canvas, some other images rendered using SVG)