**Expository Pages
**

- An Introduction to Plane Curves: some characteristics to be observed
- A Gallery of Conic Sections: 11 graphs of conic sections
- Eccentricity of a Conic (GIF animation): see the conic graph change as its eccentricity varies
- A Gallery of Cubic Plane Curves: 45 graphs of cubic plane curves
- Trisectrix of Maclaurin (GIF animation): see how this graph can be used to trisect an angle
- Witch of Agnesi (GIF animation): see how the graph is generated as a locus of points
- A Gallery of Exponential, Logarithmic, and Hyperbolic Functions: 30 graphs of various functions
- Trigonometric Graphs: the six basic graphs understood as projections
- Generating the Sine Function: (GIF animation): see the sine function developed from the unit circle
- The Trig Functions and the Unit Circle (GIF animation): see the 6 trig functions vary through the first quadrant of the unit circle
- Definitions and Graphs of the Inverse Trig Functions: the six inverse trig functions (some with two forms)
- Compositions of Trig and Inverse Trig Functions: 108 compositions with 74 different graphs
- Taylor Polynomials (GIF animation): see the Taylor polynomials converge to three different functions

**Interactive Pages
**

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- Exploring
Combinations of Functions (web
*Mathematica*): input two functions and see the graphs of their sum, differences, product, quotients, and compositions - Coordinate
Systems (web
*Mathematica*): input a function and see its graph in several different coordinate systems

- Basic Transformations in College Algebra
(
*Excel*): see the graph change as you vary the coefficients of a square, a cube, a square root, an absolute value, or a reciprocal function - Exploring the Zeros of a Quadratic
Function (
*Excel*): vary the coefficients of a quadratic polynomial and watch the zeros respond - Exploring Polynomial Zeros (
*Excel*): vary the coefficients of a quartic polynomial and watch the zeros respond - Curvilinear Coordinates and the Polynomial
Function (
*Excel*): vary the coefficients of a quartic polynomial function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates - Curvilinear Coordinates and the Square Root
Function (
*Excel*): vary the coefficients of the square root function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates

- Exploring the General Conic Graph (
*Excel*): see the graph change as you vary the 6 coefficients of the general quadratic equation - Exploring Quartic Plane Curves (
*Excel*): see the graph change as you vary the 15 coefficients of the general quartic equation

- Curvilinear Coordinates and the Exponential
Function (
*Excel*): vary the coefficients of the exponential function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates - Curvilinear Coordinates and the Logarithmic
Function (
*Excel*): vary the coefficients of the logarithmic function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates - Curvilinear Coordinates and the Sine
Function (
*Excel*): vary the coefficients of the sine function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates - Curvilinear Coordinates and the
Tangent Function (
*Excel*): vary the coefficients of the tangent function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates - Curvilinear Coordinates and the
Secant Function (
*Excel*): vary the coefficients of the secant function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates - Curvilinear Coordinates and the
Inverse Sine Function (
*Excel*): vary the coefficients of the inverse sine function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates - Curvilinear Coordinates and the
Inverse Tangent Function (
*Excel*): vary the coefficients of the inverse tangent function and watch the graph in rectangular, polar, parabolic, elliptic, or bipolar coordinates

- Exploring
Fourier
Series (web
*Mathematica*): vary the generic Fourier series term, and see the effect on the graph - Rose
Analyzer (web
*Mathematica*): vary the parameters in the polar equation of the rose - Limacon
Analyzer (web
*Mathematica*): vary the parameters in the polar equation of the limacon - Lissajous
Curve Analyzer (web
*Mathematica*): vary the parameters in the parametric equations of family of curves of Lissajous