Calculus Winplot Files

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 a Limit: Animate on a (the Fixed x Value), e (Epsilon), and p (Varies x) for a Given User Defined Function g(x)

Torus Made by Revolving a Circle of Radius 1 Centered at (0,2) About the x Axis with an Inscribed Sphere (Volume of Revolution About y Axis!)

Calculus II Examples

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

Three-D Graph of the Intersection of a Cone with a Plane (k is the Cone Angle, Plane is z = a*x + b*y +c )

Calculus III Examples

Spherical Coordinates Showing the Unit Vectors Rho Hat, Phi Hat and Theta Hat (Animate on E (Theta) and F (Phi) )

TNB Vectors for a Circular Helix

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

An Illustration of Integrating under the Plane x + y + 2z = 6 in the First Octant in the Order (Inside to Outside) z, y, x : Animate on (a, b, c) for (x, y, z)

An Illustration of Integrating under the Plane x + y + 2z = 6 in the First Octant in the Order (Inside to Outside) y, z, x : Animate on (a, b, c) for (x, y, z)

An Illustration of Integrating under the Plane x + y + 2z = 6 in the First Octant in the Order (Inside to Outside) z, x, y : Animate on (a, b, c) for (x, y, z)

An Illustration of Integrating under the Plane x + y + 2z = 6 in the First Octant in the Order (Inside to Outside) x, z, y : Animate on (a, b, c) for (x, y, z)

An Illustration of Integrating under the Plane x + y + 2z = 6 in the First Octant in the Order (Inside to Outside) y, x, z : Animate on (a, b, c) for (x, y, z)

An Illustration of Integrating under the Plane x + y + 2z = 6 in the First Octant in the Order (Inside to Outside) x, y, z : Animate on (a, b, c) for (x, y, z)

Miscellaneous Examples

Transformation of a Rectangle into a Square of Equal Area. The parameter p (range of zero to one) controls the movement of the "cut" pieces while the parameters a and b are the dimensions of the rectangle. Only values of b > a should be used.

Torus with axis along x: Animate on a to change the mean radius of the torus about the axis, animate on b to change the "tube" radius, animate on c to move along the axis

Torus with axis along z: Animate on a to change the mean radius of the torus about the axis, animate on b to change the "tube" radius, animate on c to move along the axis

Torus with axis along y: Animate on a to change the mean radius of the torus about the axis, animate on b to change the "tube" radius, animate on c to move along the axis

Double Torus: Animate on a to change the mean radius of the torus about the axis, animate on b to change the "tube" radius

Triple Torus: Animate on a to change the mean radius of the torus about the axis, animate on b to change the "tube" radius

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

Projection of a Line (Cartesian Input) in C to a Polar Circle on Unit Sphere  Animate on P to move the source point

Projection of a Line (Polar Input) in C to a Polar Circle on Unit Sphere Animate on P to move the source point

Construction of the Centroid of a Triangle as the Intersection of the Medians: Vertices at (0,0), (a,b), (c,0). Animate on a, b and c

Construction of the In Center of a Triangle as the Intersection of the Angle Bisectors: Sides of length a, b and c. Animate on a, b and c

Construction of the Circum Center of a Triangle as the Intersection of the Perpendicular Bisectors of the Sides: Vertices at (0,0), (a,b), (c,0). Animate on a, b and c

Construction of the Ortho Center of a Triangle as the Intersection of the Altitudes: Vertices at (0,0), (a,b), (c,0). Animate on a, b and c