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

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
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
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
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