The following Winplot files can be downloaded. Winplot itself can be downloaded
at https://drive.google.com/file/d/1Nc9lX0DwB4_nbsFnQaDtWwY9EAEuenqq/view?usp=sharing.
An online
tutorial is also available. To download a one of the files shown
below, left click with the mouse and save the file to your
local disk. A sample output is shown in the graphic above.

**Calculus I Examples**

Illustration of Defining a Piece-Wise Function

A Second
(better!) Illustration of a Limit Authored by John Ganci: Animate
on **a** (the Fixed *x *Value), **e** (Epsilon), and **d**
(Delta) for a User Defined Function FF(*x*). The parameter **p**
varies *x* near a.

Illustration
of Problem 19 of Project 1 Animate on **a** to Change its Value

Project 3 Problem
1 : Animate on **a** to move the point on both of *y* = *f*(*x*)
and *x* = *f*(*y*)

Mean Value Theorem Illustrated on Project 3 Problem 4a : Animate on A and B to Move the Secant Line

Illustration of the Linear and Quadatic Approximation about a Point on a Curve. Project 3 Problem 6

Torus Made by Revolving
a Circle of Radius 1 Centered at (0,2) About the *x*
Axis

A nice view of a Torus:
File Generated by John Ganci:

Surface Area of a Sphere Calculated Using a Chord Length

Illustration of the Archimedian Property of a Sphere

Proof of the
Archimedian Property of a Sphere

**Calculus II Examples**

Illustration
of Slope of Tangent Line to *y* = 4*x*ln(1*
- *2/*x*)

Graph of the Cycloid
(a is the "wheel radius", p is the "time" parameter)

Graph of the
"Bi-Cycloid (a is the "wheel radius", p is the "time" parameter)

Parameterizing the Unit Hyperbola using sinh and cosh (a is the parameter on the unit circle)

Graph of the "Golden Spiral" showing the limit point as the number of sprials goes to infinity

Graph of the
Quadratic Equation x^2/a+y^2/b = 1

Illustration
of the Definition of a Parabola: Focus at (0, *p*), Directrix *y*
= - *p
*

Graph of the
Hyperbola x^2/a^2 - y^2/b^2 = 1 ( k is the Eccentricity, b = a*sqrt(k^2-1),
p Moves Points on the Hyperbola)

Illustration of the "Four Bugs Problem" from Group Project 4: Animate on p to Move the Four Bugs

**Calculus III Examples**

TNB Vectors for Problem 4 on Project 2. Animate on the Parameter P

TNB Vectors for a Circular
Helix

Example of Using
Unit Vectors to Solve for Angular Acceleration in Dynamics

Illustration of the Motion in Group Project 1, Problem 1 : Animate on A (time)

Example
of a Tangent Plane and Normal to the surface *z* =
*f*(*x*, *y*) = 3*x*^2*y* + *x*^3

Example of
a Tangent Plane and Normal to the Sphere *z* = *f*(*x*,
*y*) = sqrt(16-*x*^2- *y*^2)

Example of
a Tangent Plane and Normal to a surface *z* = *f*(*x*,
*y*) = exp(*-x^*2*-y^*2)

Example of
a Tangent Plane and Normal to a surface *z* = *f*(*x*,
*y*) = *x*^2 + 2*x *+ *y*^2 - 6*y*

Example of
a Tangent Plane and Normal to a surface *z* = *f*(*x*,
*y*) = *x*sin(*xy*)

Project 3 Problem 8 on the Intersection of a Sphere with a Saddle

Project 3 Problem 10 on the Maximum/Minimum on a Closed Region

Fall 2007 Exam
2: Illustation of Finding Max/Min of *f*(*x,* *y*)
= -2*xy*^3 on a circle of radius *a*

Group Project 2 Problem 3 on the Steepest Ascent of the Droid on the Glacier

Group Project 2 Problem 4 on the Tangent Plane to a Cone

Group Project 2
Problem 4 on the Tangent Plane to a Curve *z* = *y
f*(*y*/*x*) for *f*(*x*) = 3*x*

Group Project 2
Problem 4 on the Tangent Plane to a Curve *z* = *y
f*(*y*/*x*) for *f*(*x*) = sin(*x*)

A Cylinder Inscribed Inside of a Sphere with the Height of the Cylinder as a Variable Parameter

The Sphere Game: Group Project Problem 3

**Miscellaneous Examples**

Two Toruses
(wheels) with an axle: animate on D to spin the wheels

Four
Toruses (wheels) with a axles: animate on D to spin the wheels

Stereographic_Projection_z_and_theta_input
Animate on S and O to move the source point

Stereographic_Projection_to
Z and 1/Z_z and_theta_input Animate on S and O to move the source point

Projection
of a Circle on Unit Sphere to a Circle in C Animate on O to rotate
the source point

Projection
of a Circle in C onto a Circle on Unit Sphere Animate on O to rotate
the source point

Projection
of a Polar Circle on Unit Sphere to a Line in C Animate on O to rotate
the source point