The following Winplot files can be downloaded. Winplot itself can be downloaded at  http://math.exeter.edu/rparris/winplot.html. An online tutorial is also available. To download a file, left click with the mouse and save the file to your local disk. A sample output is shown in the graphic above.
 

Tangent Line to a Circle: Animate on p to Change the Point P, Animate on a to Change the Radius, Animate on h , k to Change the Center.

Geometric Construction of the Tangent Line to a Parabola: Animate on a to Change the Point P, Animate on d to Change the Directrix.

Illustration of Defining a Piece-Wise Function

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)

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

Calculating the Instantaneous Velocity of a Falling Object  Animate on p to Change the Time, Animate on s to Change Delta Time

The Derivative as the Slope of the Tangent Line: Animate on a to Change the Point on the User Defined Function g(x), Animate on h to change Delta x

Illustration of Problem 1 of Project 2. Animate on a to Change the Point Where the Tangent Line Touches the Curve  y = abs( 4 - x^2)

The Central Difference Approximation to the Derivative: Animate on a to Change the Point on the User Defined Function g(x), Animate on h to change Delta x

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

Illustration of a Cylinder Inscribed in a Sphere (Project 4, Problem 12). This is a Three-Dimensional Plot which Needs to Opened in the 3-dim Window. Vary the Parameter b to Change the Cylinder.

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

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!)

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
 

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

Illustration of Slope Fields for the Derivative equal to a Piecewise Function (Project 3 Problem 6.d)

Graph of  Lissajous figures (a is the horizontal amplitude, b is vertical amplitude, f is the frequency ratio of the vertical oscillator to the horizontal oscillator)

Graph of the Trochoid (a is the "wheel" radius, b is distance from the center of the "wheel", p is the "time" parameter)

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)

Graph of the Astroid and its Tangent Line as in Problem 3 of Project 6 (a is the Dimension of the Astroid, p is the "angle" parameter)

Graph of the Epicycloid (a is the inner circle radius, b is the rotating circle radius, p is the "time" parameter)

Graph of both the Epicycloid and the Hypocycloid (a is the inner circle radius, b is the rotating circle radius, p is the "time" parameter)

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

Three-D Graph of the Intersection of a Cone with a Plane (k Controls the Cone's Orientation, a, b, and c Control the Plane's Orientation)

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 Ellipse x^2/a^2+y^2/b^2  = 1 ( k is the Eccentricity, b = a*sqrt(1-k^2), p Moves the Point on the Ellipse )

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

Illustration of Vector Addition in 2D:  a is the Length of Vector 1, p is its Angle, b is the Length of Vector 2, c is its Angle

Illustration in 2D of Projecting a Vector A (RED) onto a Vector B (BLUE):  a is the Length of Vector A, p is its Angle, b is the Length of Vector B, c is its Angle

Illustration of a Vector in 3D:  a is the Length of the Vector, p is its Polar Angle and c is its Azimuth

Illustration of Vector Addition in 3D:  a is the Length of Vector 1, p is its Polar Angle and c is its Azimuth, b is the Length of Vector 2, with Angles u and v

Illustration of the Vector Cross Product:  a is the Length of Vector 1 (BLUE), p is its Polar Angle and c is its Azimuth, b is the Length of Vector 2 (RED), with Angles u and v

An Elliptic Hyperboloid with Axis Along the z Axis: Animate on a to Change from a one-sheet to a two-sheet Hyperboloid, Animate on b to Vary Cross Sections at Fixed y , Animate on c to Vary Cross Sections at Fixed x , Animate on d to Vary Cross Sections at Fixed z

An Elliptic Hyperboloid with Axis Along the y Axis: Animate on a to Change from a one-sheet to a two-sheet Hyperboloid, Animate on b to Vary Cross Sections at Fixed y , Animate on c to Vary Cross Sections at Fixed x , Animate on d to Vary Cross Sections at Fixed z

An Elliptic Hyperboloid with Axis Along the x Axis: Animate on a to Change from a one-sheet to a two-sheet Hyperboloid, Animate on b to Vary Cross Sections at Fixed y , Animate on c to Vary Cross Sections at Fixed x , Animate on d to Vary Cross Sections at Fixed z

A Hyperbolic Paraboloid (Saddle) with Axis Along the z Axis: Animate on b to Vary Cross Sections at Fixed y , Animate on c to Vary Cross Sections at Fixed x , Animate on d to Vary Cross Sections at Fixed z

A Hyperbolic Paraboloid (Saddle) with Axis Along the y Axis: Animate on b to Vary Cross Sections at Fixed y , Animate on c to Vary Cross Sections at Fixed x , Animate on d to Vary Cross Sections at Fixed z

A Hyperbolic Paraboloid (Saddle) with Axis Along the x Axis: Animate on b to Vary Cross Sections at Fixed y , Animate on c to Vary Cross Sections at Fixed x , Animate on d to Vary Cross Sections at Fixed z
 

Illustration of the Equation of a Plane: Ax + By + Cz = D, the Normal, < A, B, C >, and a Parametric Equation of the Line Through the Point (p, q, s) Normal to the Plane (see Project 1 , Problem 5)

Cylindrical Coordinates Showing the Unit Vectors r Hat, Theta Hat and k hat (Animate on E (Theta) and F (z) )

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

Motion with Constant Angular Velocity = w (Animate on w) The Position, Velocity and Acceleration Vectors are Illustrated: Circular Motion

Motion with Constant Angular Velocity = w (Animate on w) The Position, Velocity and Acceleration Vectors are Illustrated: r = 3cos(2theta)

The Evolute of the Parabola y = x^2 : Animate on Parameter P to Move on the Parabola and Move the osculating Circle

The Evolute of the Parabola y = bx^2 : Animate on Parameter P to Move on the Parabola and Move the osculating Circle

Unit Tangent and Normal Vectors for a Curve in the x-y plane. The osculating Circle is also Displayed: Curve 1: A Circle. Animate on the Parameter P

Unit Tangent and Normal Vectors for a Curve in the x-y plane. The osculating Circle is also Displayed: Curve 2: A Parabola. Animate on the Parameter P

Unit Tangent and Normal Vectors for a Curve in the x-y plane. The osculating Circle is also Displayed: Curve 3: A Sine Wave. Animate on the Parameter P

Unit Tangent and Normal Vectors for y = sin(x) . The osculating Circle and the Evolute are both Displayed. Animate on the Parameter P

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

A Second View of the TNB Vectors for Problem 4 on Project 2 Showing the Osculating Circle. Animate on the Parameter A

TNB Vectors for a Circular Helix

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

Illustration of the Motion in Group Project 1, Problem 4 (The Ant) : Animate on P (to see the ant move counter clockwise up the parabola)

Example of a Tangent Plane and Normal to the surface z = f(x, y) = 3x^2y + 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 + 2x + y^2 - 6y

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

Project 3 Problem 5 on the Electric Field in a Metal Animate on a (Lamda), b (Omega), F (E nought), u , v to vary a "point" on the surface

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) = -2xy^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) = 3x

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

Project 4 Problem 1e on the Integral of xy over the Region Bounded by the Coordinate Planes and the Plane 2x + y + 3z = 6

Project 4 Problem 1f on the Integral of xy over the Region Bounded by the Coordinate Planes, the Cylinder r = 2 and the Plane  x + z = 3

Project 4 Problem 2b Showing the Three Dimensional Region: 0 < z < pi - x^2 ; 0 < y < x ; 0 < x < sqrt (pi)

Project 4 Problem 7b Showing the Three Dimensional Region defined as "Crystal": Animate on a and b to Vary Over the Domain

Project 4 Problem 7c Showing the Three Dimensional Region in the First Octant between the two Planes: x + y + z = 1 and 2x + 2y + z = 2

An Illustration of the Element of Volume in Spherical Coordinates: dV = rho^2 sin(phi) d(rho) d(phi) d(theta) : Animate on the Parameters Listed in the File

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

The Sphere Game: Group Project Problem 3

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.

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