DEMOS with POSITIVE IMPACT
NSF DUE 9952306

A project to connect Mathematics instructors with effective teaching tools.

KEYWORD Catalog/Index of Classroom Demonstrations
Contributions from Mathematics Educators

A  B  C  D  E  F  G  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Z

For a list of calculus demos with descriptions, click here.

David R. Hill, Temple University
Lila F. Roberts, Clayton State University

                   


A
Acoustic(s)
        sine waves and sound
        waves
Animations 
Animating Transformations

Applets
Arclength
Area
        of triangles and other regions
Area between two curves 
Area Estimates
Area Estimate via Interactive Trapezoidal Rule (Flash)
Area Estimate via Interactive Simpson's Rule (Flash)
Area Simulations
Average Rates of Change
    Along the Graph of a Function
    Jogger: time vs. distance graphs
    On Escalators
    Using Falling Ball and Moving Car Animations
   
B
Bacteria Allocation 
Beer Mug
Best Fit Experimenters 
Biorythms
Boxes
    Box Max-Min problems
    Inverse Box problems

C
Calculator 
        TI-83, optimizing sinusoids
Calculus
         Area between two curves 
        Derivatives
                definition graphically
                partials
        Families of Functions and Curves
        Gallery of volume visualizations
       
Optimization with a gallery of demos
       
Related Rates with a gallery of demos
        Riemann sums
                symbolic and graphical
                area between curves
Car Motion for Average Rate of Change
Carpenter
        divides a rectangle
        draws a circle
        draws an ellipse
        jig
        square
Catenary
Cell phone
        base station
        signal of
        signal-to-interference ratio
Celluar network
Centroids 
Chocolate Chip Allocation
Ciphers
Circle
        construction using a carpenter's square
Circles and Segments within a Circle
Circular-functions 
Codes
Coin Toss Game
Congruent triangles (application)
Conics
        eccentricity
        ellipse drawn by a carpenter
        parabola via a motion sensor 
        gallery of conic section graphs/animations
Constructing conics
        on a white board 
Continuity
        of piecewise functions
                interactive Excel demos
                interactive Java demos
Cross Sections
Cryptography
        Vigenere Cipher
Curve fitting
Curved Cube
Cycloids

D
Decreasing functions
Deductive reasoning
Derivatives
        definition graphically
        of piecewise functions
                interactive Excel demos
                interactive Java demos
        partials
        Sketch from the Graph of the Function
DERIVE
Differential equations
        Mechanical Vibrations
                via sound 
        Resonant filter
Disks
Dividing a rectangle
Domain
        of functions defined by formulas (animations)
        of functions defined piecewise (animations)
Dot Products
Drawing a circle
        using a carpenter's sqaure

E
Eccentricity
Electric utility cables
Ellipse drawn by a carpenter
Engine sinusoid
Epicycloids 
Equipotential Curves
Escalator Motion 
Excel
Exponential functions graphs/animations

F
Falling Ball for Average Rate of Change
Families of Functions and Curves
        Gallery of conic sections graphs/animations
        Gallery of exponential and logarithmic graphs/animations
        Gallery of polar graphs/animations
        Gallery of polynomial and rational function graphs/animations
        Gallery of trigonometric and inverse graphs/animations
Ferris wheel
Flash
Fluid
        dynamics
        flow
Flow(s)
        around a cylinder
        around a cylinder with circulation
        around a Rankine body
        in a closed channel
        in a corner
        incompressible
        point vertex, around a cylinder
Framing square
Frequency
        of acoustic waves
        of sine waves
Function: Sketch from a Graph of it Derivative
Functions; Average Rate of Change

G
Gallery of conic sections graphs/animations

Gallery of exponential and logarithmic graphs/animations
Gallery of partial derivative animations
Gallery of polar graphs/animations
Gallery of polynomial and rational function graphs/animations
Gallery of trigonometric and inverse graphs/animations
Gallery of volume visualizations
Gas bill model using sinusoids
Geometer's Sketchpad
Go with the Flow

H
Hanging cable
Harmonic series
Hertz
        in acoustic and sine waves
Homogeneous Coordinates
Hours of daylight
Hypocycloids

I
Incompressible flows
Increasing functions
Induction
        geometric example
        hypothesis
        mathematical
        principle of
Inequalities
Infinite Series
        introduction using "food"
Interactive routines
        in Excel
                continuity
                differentiability
                hours of daylight
                monotonicity
        in Flash
                arclength and area
        in Java
                continuity
                differentiability
Interpolation applications
        of a light bulb
        of a sea worm
        of a wine bottle
Interpret graphical information
        Jogger: time vs. distance graphs
        Trip Stories: time vs. velocity graphs
Inverse trigonometric functions graphs/animations
Inviscid flows
J
Java Applets
Jogger
        Construct stories from time vs. distance graphs
K

L
Lamp (six-way)
Leaky Faucet
Least Squares
    Interactive Excel routines:
        Olympic Men's Pole Vault
        Olympic Men's High Jump
        Olympic Women's Discus
        Per Capita Debt in U.S. Population
        Population of California
        The Shrinking Value of the Dollar
Limit point
Linear Combination 
Linear Transformations

Line Integral
Logarithmic functions graphs/animations

Logistic Curve 
        animation    
M
MAPLE
MATHCAD
MATHEMATICA
MATHWRIGHT

MATLAB
Matrices
        RGB color Linear Combination
        Reversals
Matrix Algebra Demos
        videos with audio on introductory linear algebra topics:
            dot product, matrix addition, matrix-vector product, matrix multiplication,
            method of elimination, reduced row echelon form, solving homogeneous systems,
            determinants of small matrices, determinants by expansion,
            determinants by row operations, a determinant application, discussion of eigen information,
            computing eigenvalues and eigenvectors of 2 by 2 and 3 by 3 matrices
Matrix Inverses 
Matrix-Vector Multiplication
Max-Min with a gallery of demos 
Mechanical Vibrations
        via sound 
Modeling electric utility lines
Monotonicity
        gallery of animations
        interactive Excel demos
Monte Carlo 
        for probability demos
        in area simulations
        segments and circles within a circle
Morse code
Motion sensor 
My Favorite Mug

N

Nautilus

Notes(musical)

O
Optimization with a gallery of demos
Optimization on a TI-83
Optimization for design of a box

P
Parabola
        via a motion sensor 
Partial Derivatives 
Pendulum motion and sinusoids
Pitch
        in acoustics
Plinko
Polar curves graphs/animations
Polynomial functions graphs/animations
Potential Function
Pressure Field
Probability
        of a winner in the coin toss game
        a collection of elementary probability demos
Pump Network
Puzzle
        tromino
 

Q

R
Rafter square
Rainbows 
Range
        of functions defined by formulas (animations)
        of functions defined piecewise (animations)
Rate of growth
        logistics model
Rational functions graphs/animations
Related Rates with a gallery of demos
Resonant filter
RGB color Linear Combination 
Riemann sums
        symbolic and graphical
        area between curves
Rotating (curved) Cube

S
Sail Construction
Secant line
Secret codes
Segments and Circles within a Circle
Sequences
Series
Shells
Signal
        of a cell phone
        primary
        secondary
        -to-interference ratio
Sine Waves and Sound
Sketching
        Sketch a Function from a Graph of its Derivative
        Sketch the Derivative from the Graph of a Function
Simpson's Rule Area Estimation (Flash)
Simulations
        for area
        for coin toss game
        for probability demos
Sinusoids
        applications and modeling
        biorythms
        engine
        Ferris wheel
        (in your) gas bill
        hours of daylight
        pendulum motion
        using optimization on a TI-83
Six-way Lamp
Software
Soilds
Sound 
        of mechanical vibrations
        tones from sine waves
Square
        2n by 2n
        carpenter's
        framing
        rafter
        steel
Steel square
Streamlines
Student participation

T
Tangent line
Taylor polynomials
Tile
Time vs. distance graphs
Time vs. velocity graphs
Tones
Trapezoidal Rule Area Estimates (Flash)
Triangles
   
     in sail construction
        area 
Trig functions
        generation of sine and cosine
        graphs/animations
Trip stories
        Create a story of auto trip from a time vs. velocity graph
Tromino puzzle
        geometric example of induction
   
U

V
Vector Calculus
Vector Fields
Vibrations
        mechanical
        sine waves and sound
Vigenere Cipher
Visualizations
        for max-min problems
        for volumes of solids
   
      for word problems
        for families of functions and curves
Volumes of physical objects
Volumes of solids
        a light bulb  
        of revolution
              by cross sections              
  
             by disks
              by shells
              by washers
        of sea worm
        of a wine bottle

W
Washers
Wave file
WaveWriter
What you don't see
Word Problems with a gallery of demos

X

Y

Z


Last updated 7/6/2010    DRH

Visitors since 8/29/2003