|
|
|||||||||||||
 Title Wing (arranged by level, alphabetically) You may jump directly to a level by clicking a book icon here.
Mathwright2000 workbook:
amazing maze Description: This playbook, written by college students,
creates a new maze each time it starts up. The reader must traverse
the maze by clicking on the next place to go. An integer division problem
then appears, and the reader must supply the answer to proceed.
Mathwright2000 workbook:
coins Description: This workbook was written by college students
for 3rd and 4th grade students. It first shows random displays of coins
and asks the reader to add them up and report the amount. Next, it asks
the reader to calculate the change from some dollar amount.
Mathwright2000 workbook:
draw Description: This workbook explores some properties
of graphs of functions. They may be created using formulas, or they
may be drawn freehand.
Mathwright2000 workbook:
fraction marathon Description: This playbook may be used to practice arithmetic
of fractions. it presents a series of five "tasks": addition of fractions,subtraction
of fractions,changing "improper" fractions to "mixed numbers", multiplication
and division of mixed numbers.
Mathwright2000 workbook:
funny tutor Description: Satiric view of computer-aided-design (cad)
wrought by the incisive and ironic wit of professor eric frankl. If
you take this book seriously, then you have missed the point completely!
still, there is a page that might be helpful. Good luck finding it!
Mathwright2000 workbook:
lemonade stand Description: This playbook, written by college students,
places arithmetic of barter nicely in context for young players. The
reader runs a lemonade stand. As customers place their orders the reader
must enter them correctly, calculate the price, and make change.
Mathwright2000 workbook:
life with fractions Description: This workbook lets you see how proper fractions
may be represented by pie charts. The book generates automatic examples,
or you may supply your own. It also offers to reduce fractions for you
so that you may see the equivalent representation.
Mathwright2000 workbook:
logo bug graphics Description: This book offers logo to young children.
It lets them draw logo pictures on the screen with a logo bug that can
either walk, leaving its path, or fly without leaving a trail. It uses
the idea of compass points rather than angles to determine directions.
Mathwright2000 workbook:
memily game Description: This playbook is a memory game. Sharpen
your memory by playing against the computer! You may play at different
levels if it gets to be too easy to win.
Mathwright2000 workbook:
mirror game Description: This workbook explores the symmetry of
a game often found in roadside restaurants. We call it the "mirror game".
There are 14 red pegs arranged in the playing board. After that, the
moves will be to "jump" one peg over another and to land in a hole.
Mathwright2000 workbook:
roam Description: This playbook, written by college students,
has the reader move through a "game board" on the screen by rolling
a die. But, each time, before she gets to roll, she must answer a "word
problem" that is generated by the computer!
Mathwright32 microworld:
mathwright logo playground Description: This microworld contains a dialect of classic
logo. In this dialect, you may create as many turtles as you like, and
move them around simultaneously with your programs. This programming
environment lets readers write, save and restore logo programs.
Mathwright32 microworld:
tactic: 3d tictactoe Description: You are probably familiar with the traditional
game of tic-tac-toe. Tactic expands that game to the third dimension,
on a 4x4x4 board, and it illustrates one of the most basic strategies
of game theory.
Mathwright2000 workbook:
bezier curve designer Description: Use this workbook to design your own curves.
Click between 2 and 15 points on the screen and the bezier spline approximating
those points is drawn for you. Also, you receive the function definition
of that spline as a parametric curve.
Mathwright2000 workbook:
college algebra course (complete set) Description: This sequence is the basis for a distance
learning course. It covers the basic arithmetic and order properties
of the real numbers before discussing functions and their graphs, and
linear, quadratic and exponential functions.
Mathwright2000 workbook:
college algebra set: expon functions Description: This workbook explores a new culture in
the world of functions. We develop an exploration of exponential functions.
We will identify them numerically, graphically, and symbolically. Next,
we visit the number e, referred to as euler's number.
Mathwright2000 workbook:
college algebra set: functions, part 1 Description: This workbook is an introduction to functions.
It begins with a discussion of the cartesian plane and coordinates,
and goes on to discuss and illustrate with many examples and exercises,
plotting points, and measuring distance between points.
Mathwright2000 workbook:
college algebra set: functions, part 3 Description: This workbook explores operations on functions.
We are familiar on the operations on real numbers: addition, subtraction,
multiplication, and division. It is natural to think of applying these
operations to functions. We show composition of functions.
Mathwright2000 workbook:
college algebra set: exploring functions Description: This workbook is an introduction to functions.
It begins with a discussion of cartesian coordinates, and goes on to
discuss plotting points, measuring distance between points, functions
as rules, as mathematical models, as dynamical objects.
Mathwright2000 workbook:
college algebra set: exploring real numbers Description: This workbook is designed to help you master
the basic operations (addition, subtraction, multiplication, and division)
of integers, fractions (or rational numbers), and real numbers. A more
traditional title for this topic would be arithmetic.
Mathwright2000 workbook:
college algebra set: linear functions Description: This workbook studies linear equations
and inequalities in one or two variables. It generates problems randomly
or allows you to make problems up. In either case, it draws the solution
graphically, then explains, step-by-step, how to solve algebraically.
Mathwright2000 workbook:
college algebra set: quadratic functions Description: This workbook studies quadratic equations
and inequalities. It generates problems randomly or lets you make them
up. In either case, it draws the solution graphically then explains
step-by-step how to solve algebraically using completion of the square.
Mathwright2000 workbook:
composition of functions Description: This workbook gives an animated view of
function composition. Choose 2 functions: f and g to compose, choose
an x value. There is a small sprite that starts at (x,0), moves to (x,
f(x)),to ( f(x), f(x) ),then to (f(x),g(f(x))),and finally to (x,g(f(x))).
Mathwright2000 workbook:
conic sections Description: This workbook is an exploration of the
geometry of quadratic equations in two variables. It contains an ellipse
and hyperbola grapher. It also explores the focus - directrix equation
for conics.
Mathwright2000 workbook:
equation assistant Description: this workbook is designed to assist the
beginner in learning how to solve linear equations. these equations
may contain any number of variables, but of course, the reader must
specify one of them to be solved in terms of the others. fractions are
written
Mathwright2000 workbook:
following graphs Description: This is a function grapher with a twist.
There is a sprite that points to a location on the graph. As the reader
moves over the screen, the sprite glides along the graph, reporting
its coordinates. The reader may zoom in or out around the current point.
Mathwright2000 workbook:
golden ratio and the fibonacci sequence Description: This workbook uses logo style graphics
to explore the relations between the golden ratio and the fibonacci
sequence. The Greek view of ratio is illustrated. In this view, a ratio
of segments is the shape of a rectangle whose sides are those segments.
Mathwright2000 workbook:
graphs and equations of lines Description: This workbook is an introduction to linear
equations, and is suitable either for high school or college work. It
gives illustrations of the various forms of equations of lines in the
plane. It generates problems randomly, or allows you to make them up.
Mathwright2000 workbook:
graphs and their functions Description: This workbook steps you through a series
of 6 demonstrations, each of which shows some relation between functions
and graphs: the role of parameters, shifts, translations, and stretches
and compressions. the reader may supply his own functions also.
Mathwright2000 workbook:
how to draw a star Description: How do you draw a star? The star playbook
provides opportunities to explore the geometry of stars. There are three
activities pages. On the first you can explore the relationship between
the number of points in a star and the angle formed at each point.
Mathwright2000 workbook:
inequalities Description: This workbook is an introduction to linear
inequalities and the notations and strategies for solving them.
Mathwright2000 workbook:
introduction to mathwright Description: this book discusses the mechanics of reading
and interacting in mathwright library books. It is a good place to start.
Mathwright2000 workbook:
light Description: This workbook is about the reflection and
refraction of light rays. The material can be appreciated by a wide
range of students from high school through college. There is material
on conic sections, trigonometry, visualizing "virtual" images, etc.
Mathwright2000 workbook:
mastermind Description: Mastermind is a game of deductive logic.
Learn this intriguing game while playing it. The workbook teaches you
the rules of the game, then allows you to try out your deductive skills
as it creates codes for you to guess. Next, watch it guess your codes!
Mathwright2000 workbook:
periodic functions Description: This workbook aims to help readers visualize
the properties of trigonometric functions, beginning with the wrapping
functions through the exploration of the sine and cosine functions.
Students learn about amplitude, period and frequency, and phase shift.
Mathwright2000 workbook:
plotting data Description: This workbook gives an introduction to
data plots. You may add data to tables, plot lines through pairs of
points, and learn about the relation between tabular and graphical representations
of data.
Mathwright2000 workbook:
polar graphs Description: This workbook invites the reader to discover
the properties of graphs in polar coordinates. There is given a class
of polar functions for which he may change parameters and see the graphs
in several colors. The reader may define polar functions to graph.
Mathwright2000 workbook:
pool Description: This workbook simulates elastic collisions
in the game of pool. Readers may play pool, or may do experiments in
elastic collisions. For example, they may explore the world of "frictionless"
pool.
Mathwright2000 workbook:
precalculus course (complete set) Description: This sequence, developed in the spirit
of reform, is a set of 9 laboratory workbooks based on the text elementary
mathematical models, written by dan kalman.
Mathwright2000 workbook:
precalculus set: arithmetic growth Description: Here we retrace the steps in which galileo
learned the law of "freely falling bodies". When a body falls from rest
under the influence of gravity alone it falls "faster and faster". It
took a very long time for uniform acceleration to be discovered.
Mathwright2000 workbook:
precalculus set: difference equations Description: This lab focuses on sequences. A sequence
is like an indexed variable except that it does not necessarily terminate.
The infinite nature of sequences shows that they are abstract models
rather than data collected in experiment.
Mathwright2000 workbook:
precalculus set: geometric growth Description: In this lab we introduce geometric growth
sequences. They differ in only one essential way from arithmetic growth
sequences, and are, in a sense, as simple as the latter. They will lead
directly to the exponential (and logarithmic) functions.
Mathwright2000 workbook:
precalculus set: graphical methods Description: The main purpose of this laboratory is
to learn to work with indexed variables (measured quantities). We begin
with a few scatter plots that describe certain data sets. The second
page of the lab is an exploration that will help you practice graphing.
Mathwright2000 workbook:
precalculus set: introduction Description: This laboratory introduces indexed variables.
These are the basic objects that we use to represent and study data.
We will also start to describe some of the conventions that we will
use in these labs. This lab has tools that we will reuse in the future.
Mathwright2000 workbook:
precalculus set: linear graphs Description: In this laboratory, we will study linear
functions and their graphs. First, we review on this page basic graphing
technique. this will give exercise in plotting points, and describing
the line through a pair of points in a number of standard ways.
Mathwright2000 workbook:
precalculus set: quadratic graphs Description: We study various forms of quadratic expressions,
the translation from one form to another, and the shapes of quadratic
graphs. We discuss various methods for solving quadratic equations:
completion of the square, the quadratic formula, and factorization.
Mathwright2000 workbook:
precalculus set: quadratic growth Description: Here, we study a new model of growth. We
saw that arithmetic growth models are characterized by straight-line
graphs. When the difference equation has the form: a(n) = a(n-1) + m*(n-1)+b
for some constants m and b the rule of growth is quadratic.
Mathwright2000 workbook:
precalculus set: rational functions Description: We study polynomial and rational functions
and try to see the relationship between the algebraic representation
of a function and its graph. We have studied linear and quadratic functions,
and generalize those to the polynomial and rational functions.
Mathwright2000 workbook:
space filling curve Description: This workbook illustrates hilberts space-filling
curve algorithm. It lets the reader construct various stages of the
construction, and helps the reader convince herself that the uniform
limit of the sequence of curves exists, and maps onto the square.
Mathwright2000 workbook:
space shuttle Description: This workbook is a 12-page interactive
mathematics/science workbook that celebrates the role of mathematics
in rocket science. It is designed to be used by students ages 14 and
older for private self-directed study and recreation.
Mathwright2000 workbook:
transformations of a function Description: In mathematics, we often use one function
to define another. For example if we start with the function f(x) =
x^2 we can create a new function g by defining g(x) = f(x) +3, so g(x)
= x^2 +3. In words, f is the function that adds three to the output
of f.
Mathwright2000 workbook:
virtual lab Description: This workbook may be used in place of physical
weights and springs. We discuss the differential equation governing
the vibration of a spring, including linear, hard, and soft springs.
The reader can vary parameters for animated graphical output.
Mathwright2000 workbook:
word problems Description: This workbook by hans-gerd huseman is based
on an idea by ojaibo okuha. It creates word problems, and gives detailed
solutions for each problem it creates. It generates systems of two equations
in two unknowns, and three equations in three unknowns.
Mathwright2000 workbook:
work problems Description: This workbook develops strategies for analyzing
and solving problems in which a number of workers with different rates
of work collaborate to finish a job. The reader is coaxed through the
solution of a complex problem of this type in gentle steps.
Mathwright32 interactive
web playbook: the magical gravity tour Description: Gravitation is an interactive microworld
designed to be used by students for self-directed study and recreation.
It has playful explorations such as a lunar lander or a space shuttle
launch that also teach. Students may experiment with kepler's 3 laws.
Mathwright32 microworld:
3d game of life Description: This playbook is about the game of life.
In this 3-dimensional version, cells are cubes in a 21x21x21 array.
In each generation, a cell survives to the next by counting neighbors.
Empty cells are born if they have the right number of living neighbors.
Mathwright32 microworld:
a story of light Description: This microworld is about the reflection
and refraction of light rays. The material can be appreciated by a wide
range of students from high school through college. There is material
on conic sections, trigonometry, visualizing "virtual" images, etc.
Mathwright32 microworld:
algebra of work problems Description: This microworld develops strategies for
analyzing and solving problems in which a number of workers with different
rates of work collaborate to finish a job. The reader is coaxed through
the solution of a complex problem of this type in gentle steps.
Mathwright32 microworld:
best linear fit Description: This microworld has tools for solving discrete
models that depend upon proportionality. What often happens in such
models is that some parameters or their powers are proportional. The
problem reduces to determining a line y = kx that fits the data best.
Mathwright32 microworld:
college algebra set: quadratic functions Description: This microworld studies quadratic equations
and inequalities. It generates problems randomly or lets you make them
up. In either case, it draws the solution graphically then explains
step-by-step how to solve algebraically using completion of the square.
Mathwright32 microworld:
duality in the mirror game Description: This workbook explores the symmetry of
a game often found in roadside restaurants. We call it the "mirror game".
There are 14 red pegs arranged in the playing board. After that, the
moves will be to "jump" one peg over another and to land in a hole.
Mathwright32 microworld:
graphs of functions and symmetry Description: This microworld is a gentle introduction
to the symmetries of a graph. It approaches this idea through the metaphor
of reflection, as in a mirror. The basic reflections that it considers
are: reflections across the x- and y-axis, and across the line y=x.
Mathwright32 microworld:
graphs of quadratic functions Description: This microworld explores with animation
and interactive algebra the properties of the graphs of quadratic functions,
and symbolic and graphical ways of understanding the solutions of quadratic
equations. It gives examples and step-by-step instructions.
Mathwright32 microworld:
how to draw a star Description: How do you draw a star? The star playbook
provides opportunities to explore the geometry of stars. There are three
activities pages. On the first you can explore the relationship between
the number of points in a star and the angle formed at each point.
Mathwright32 microworld:
introduction to mathwright32 Description: This microworld discusses the mechanics
of reading and interacting in mathwright microworlds. It is a good place
to start.
Mathwright32 microworld:
lines and linear equations Description: This microworld weaves together themes
from geometry and algebra as it exercises your skills in writing and
solving equations. It is designed for students who would like to understand
how to write equations of lines in various forms.
Mathwright32 microworld:
mastermind Description: Mastermind is a game of deductive logic.
Learn this intriguing game while playing it. The workbook teaches you
the rules of the game, then allows you to try out your deductive skills
as it creates codes for you to guess. Next, watch it guess your codes!
Mathwright32 microworld:
periodic functions Description: This workbook aims to help readers visualize
the properties of trigonometric functions, beginning with the wrapping
functions through the exploration of the sine and cosine functions.
Students learn about amplitude, period and frequency, and phase shift.
Mathwright32 microworld:
piecewise defined functions Description: This microworld helps students visualize
the graphs of functions, piecewise continuous or not, and to explore
limits, continuity, and derivability. The book can be used to graph
a function and its derivative, create tables of values on an interval.
Mathwright32 microworld:
playing with points Description: This microworld is an introduction to points.
The reader learns to plot a point if coordinates are given, to read
the coordinates if the point is given, to determine the distance between
two points, to determine collinearity of three points.
Mathwright32 microworld:
points and lines Description: This microworld exercises your skills in
writing and solving equations. It is designed for students who would
like to understand how to write equations of lines in various forms,
and to determine the distance from a point to a line.
Mathwright32 microworld:
rocket science 101 Description: This microworld is an interactive playbook
that celebrates the role of mathematics in rocket science. It is designed
to be used by students ages 14 and older for self-directed study and
play. The player must dock the space shuttle with a space station.
Mathwright32 microworld:
sat math practice and tutorial 1 Description: This microworld will give you unlimited
opportunity to prepare for the mathematics section of the scholastic
aptitude test (sat). In its present form, it generates a new 25-question
diagnostic test each time you ask for one. Each test is unique.
Mathwright32 microworld:
transformations of a function Description: In mathematics, we often use one function
to define another. For example if we start with the function f(x) =
x^2 we can create a new function g by defining g(x) = f(x) +3, so g(x)
= x^2 +3. In words, f is the function that adds three to the output
of f.
Mathwright32 microworld:
trig functions Description: This microworld illustrates the effect of the parameters 'a' , 'b' , and 'c' on the graph of the function f(x) = a*sin(b*x+c) which respectively represent the amplitude, period or frequency, and phase shift of a trigonometric function. Mathwright32 microworld: applications
of integration Description: This 9-page microworld explores arc length of a curve, area under a curve, and surface area and volume of revolution. For simplicity we explore only those surfaces of revolution that can be obtained by revolving a curve about x-axis Mathwright2000 workbook:
area under curves Description: This workbook illustrates riemann sums
to estimate the area bounded by the graph of a function. The goals are
to experiment with various sizes of rectangles to get better approximations,get
a feel for right and left endpoint sums,and bounds for the area.
Mathwright2000 workbook:
bernoulli trials Description: This workbook gives the opportunity to
experiment with bernoulli trials. The term Bernoulli trial refers to
a sequence of trials, each of which has two possible outcomes, called
success and failure. The probability of success is the same for each
trial.
Mathwright2000 workbook:
calc1 set: analyzing data Description: This laboratory continues to model relations
between sets of data, using an automatic procedure to obtain the line.
The reader gets experience collecting, entering, and analyzing data.
It has an "automatic fit" button to obtain the best linear fit.
Mathwright2000 workbook:
calc1 set: basketball stats Description: This laboratory investigates variables
associated with data, such as scatter plots associating statistics with
players on basketball teams. A "skill builder" page is provided to give
a little practice drawing and recognizing the graphs of lines.
Mathwright2000 workbook:
calc1 set: compound interest Description: Here we explore questions around the calculation
of interest. We wish to learn the use of recursive definitions for defining
exponential functions; and to explore a particular type of limit behavior
that leads to the definition if the euler number e.
Mathwright2000 workbook:
calc1 set: exploring derivatives Description: This lab aims to help you form ideas about
derivatives, ask your own questions and create your own examples. First
we study position and velocity portraits. Next, we explore limits of
difference quotients. Finally we look at slopes of tangent lines.
Mathwright2000 workbook:
calc1 set: functions and data Description: In this lab, there are four "scatter plots".
These plots report the number of aids cases in thousands by date, describe
the position of a freely falling body, show the federal deficit, per
year, and a plot to experiment with and modify.
Mathwright2000 workbook:
calc1 set: functions and graphs Description: We experiment with the role of the derivative
in critical behavior (local extrema, inflections) and linearization
which, using newton's method will yield approximate roots of equations:
f(x) = 0. The reader may use built-in examples or supply her own.
Mathwright2000 workbook:
calc1 set: initial value problems Description: Here, we explore initial value problema.
There are several types of initial value problems, and several ways
to observe and test solutions. We begin with differentiable, 1-dimensional
ivps. In the next section, we explore a 2-dimensional discrete ivp.
Mathwright2000 workbook:
calc1 set: introduction Description: The main purpose of this laboratory exercise
is to learn to work with scatter plots, and to learn some of the conventions
used in the calc laboratories. The pages of this lab have tools that
will be reused from time to time in future labs.
Mathwright2000 workbook:
calc1 set: keplers third law Description: This lab visits a question that inspired
the birth of calculus. The data are the orbits of planets and other
objects in sky. We launch our own probes around the sun to generate
data, and make an hypothesis about it based on a log-log plot.
Mathwright2000 workbook:
calc1 set: logarithmic analysis Description: This lab derives and checks model formulas
from the observed pattern of data. We often check hypotheses about the
data using semi-log or log-log plots. This often requires a "linear
best fit" to model data that is transformed to logarithmic form.
Mathwright2000 workbook:
calc1 set: population growth Description: This lab starts with the derivative of
a changing quantity (in this case, population size or position as they
change in time), models that can make predictions about the quantity
that is changing. We study mainly models of population growth.
Mathwright2000 workbook:
calc1 set: process models Description: In this lab, there are 5 scatter plots:
sales of a pharmaceutical company, inclined planes, pendulum, and gravity.
The latter describes galileo's famous "thought experiment" about falling
bodies that led to his principle of uniform acceleration.
Mathwright2000 workbook:
calc1 set: raindrops Description: In this lab we develop a model for analyzing
initial value problems focusing on the behavior of resistance-inductor-capacitor
circuits, and falling raindrops. We use euler's method for numerical
approximation, but also use symbolic algebraic techniques.
Mathwright2000 workbook:
calculus 1 course (complete set) Description: This sequence, designed in the spirit of
reform, is a set of 13 laboratory workbooks based on project calc, a
reform curriculum designed by david smith and lawrence moore.
Mathwright2000 workbook:
command line Description: Students may use this book to type commands
to do graphics, decimal arithmetic, matrix or symbolic algebra. The
online documentation provides a tutorial for the mathscript language,
the over 270 mathscript commands and built-in functions.
Mathwright2000 workbook:
compound interest Description: This workbook illustrates the effect of
interest rate and rate of compounding interest (annually, monthly, daily,
etc.) on the growth of the principal. It does this both with tables
and graphs.
Mathwright2000 workbook:
data fits Description: This workbook has a tool to fit data (using
the least squares criterion) with: linear functions, quadratic functions,
cubic functions, power functions, or exponential functions. you may
enter your data set in a table, or simply click points on the graph.
Mathwright2000 workbook:
derivatives and the graphs of functions Description: This workbook experiments with some of
the general applications of the derivative to the study of the behavior
of functions. This includes their critical behavior, local extrema,
inflections. The reader may work with built-in examples or supply her
own.
Mathwright2000 workbook:
difference quotient Description: This workbook lets the student choose a
function to graph, then choose a point on the graph, and finally, explore
the difference quotient for varying increments. the secant lines are
drawn, and their values printed as they approach the tangent line.
Mathwright2000 workbook:
differential equation set: chaos Description: This workbook introduces the ideas and
pictures of dynamical systems, chaos, and fractals at the high school
level. Concepts discussed are measure and dimension, stability and the
butterfly effect, complex numbers,iteration,julia sets,the mandelbrot
set.
Mathwright2000 workbook:
discrete mathematics 1: set safari Description: This is the first half of a 14-week course
in discrete mathematics. The lectures cover: sets,functions sets and
logic,composition of functions,set operations,permutations of sets,boolean
algebra,graphs and directed sets,relations,order,cardinality.
Mathwright2000 workbook:
discrete mathematics 2: set theory Description: This is the second half of a 14-week course
in discrete mathematics. The lectures cover: iteration and recursion,search,sets
defined by propositions,critical path analysis,counting,automatic problem
solving,relations and functions,graphs and logic.
Mathwright2000 workbook:
discrete mathematics course (complete) Description: This sequence: "Sets, Functions and Relations",
and "Recursion and Logic" can together be used as text for a 14-week
formal course in discrete mathematics. This course might also be used
for private self-paced or independent study.
Mathwright2000 workbook:
eigenvectors Description: This workbook takes an interesting look
at eigenvectors of 2x2 matrices. It is written in a playful way that
encourages the reader to experiment.
Mathwright2000 workbook:
elastic collisions Description: This workbook lets you set up and launch
2 hockey pucks on an ice rink. You determine their masses, their velocities
and their positions by dragging the pucks to any desired position. Momentum
is conserved as you see from the initial and final vectors.
Mathwright2000 workbook:
elementary mathematical models course Description: This is a course sequence based on dan
kalman's text: elementary mathematical models.
Mathwright2000 workbook:
emm set: 1overx Description: This workbook is a series of guided discovery
activities connected with graphs of equations y = 1/(x-a) + b. Students
are given a chance to determine the effect of the parameters a and b
first in isolation, and then in combination.
Mathwright2000 workbook:
emm set: best fit Description: This workbook is a general purpose linear
regression tool. Enter data on one page, fit a line by eye or equation
on the next. Finally click a button to find the least squares line.
A third page provides experience with the error function.
Mathwright2000 workbook:
emm set: contents Description: This is the table of contents for the elementary
mathematical models course set. Download this book to get a preview
of each of the modules and a description of the topic it discusses.
Mathwright2000 workbook:
emm set: de models Description: This workbook is a combination of bestfit
and diffequ. Like bestfit, you begin by entering data, in this case,
terms of a sequence. Like diffequ, you also enter a difference equation
and see the effects of computing the terms recursively.
Mathwright2000 workbook:
emm set: difference equations Description: This workbook is a difference equation
calculator. Enter an expression for a(n+1) in terms of a(n) and possibly
other terms preceding a(n+1). Enter initial values. Click a button to
see the terms of the sequence graphically and numerically.
Mathwright2000 workbook:
emm set: graphs of equations Description: This workbook is a general purpose tool
for graphing functions. Define y as an explicit function of x, or define
the function implicitly using an equation, and then examine the graph.
A set of data points may also be superimposed on the graph.
Mathwright2000 workbook:
emm set: quadratic functions Description: This workbook is a series of guided discovery
activities connected with graphs of quadratic equations. Students experiment
with the graphical significance of coefficients as they study intercepts,
the axis of symmetry, and the vertex.
Mathwright2000 workbook:
emm set: reports Description: This workbook a symbolic word processor
for use with mathwright. It permits students to create reports about
their work, including graphic images that can be captured from any mathwright
screen. Symbolic mathematical expression editing is also supported.
Mathwright2000 workbook:
emm set: straight lines Description: This workbook is a series of guided discovery
activities connected with graphs of linear equations. Students experiment
with the graphical significance of parameters in the point slope, slope
intercept, and two intercept forms of linear equations.
Mathwright2000 workbook:
epsilon Description: This workbook presents the epsilon-delta
definition of limit as a game, using a geometric picture of the usual
inequalities. Say the graph of a function "fits in a rectangle" if it
can be graphed in the rectangle without going off the top or bottom.
Mathwright2000 workbook:
estimating area Description: This workbook explores ways in which the
area under the graph of a function may be estimated. Interactive exercises
show the methods of approximation by left and right riemann sums and
trapezoidal approximation. Functions are created automatically.
Mathwright2000 workbook:
firemans ladder Description: A fireman stands on the bottom rung of
a ladder. The base of the ladder is 1 meter from the wall and is about
to slip at a constant speed away from the wall. The player chooses how
fast the fireman climbs the ladder and sees the path through the air.
Mathwright2000 workbook:
gaussian elimination Description: This workbook uses gaussian elimination
to solve systems of linear equations in up to 12 variables. The reader
enters a system of equations and learns how the solution (if any) may
be parametrized by the free variables, is unique, or is inconsistent.
Mathwright2000 workbook:
geometry Description: Geometry is a venerable pillar of modern
mathematics. Do ruler and compass constructions with lines, circles,
polygons, and ellipses in this environment. Save and restore your constructions
and proofs, and make "movies" of them for demonstration.
Mathwright2000 workbook:
harmonic oscillators Description: This workbook provides an exploration of simple harmonic oscillators with sinusoidal forcing terms. You vary the parameters in the equation: mass, spring constant, friction, period and amplitude of forcing term, and see solutions with sprite animation. Mathwright32 microworld: hifi:
personal household finance manager Mathwright2000 workbook: lunar lander
Description: This book is a game of a rocket landing
on the moon. It has at each instant a height and a velocity, all represented
by dials. There is a throttle that the player uses to accelerate the
rocket. The graphs of height and of velocity versus time are drawn.
Mathwright2000 workbook:
magnify Description: This workbook explores two fundamental
ideas of calculus, the limit and the derivative, visually in an activity
of successively zooming in on one point of a graph. If the graph eventually
becomes a straight line, the derivative is the slope of that line.
Mathwright2000 workbook:
monk program Description: This workbook develops steve monks cincinnati
program. The purpose of the book is to help students visualize and articulate
relations between position portraits and velocity portraits of relative
motion using sprite animation to simulate the motions.
Mathwright2000 workbook:
mwmilton calculator Description: This workbook carries out a variety of
numerical and symbolic computations: m.w. milton graphs and tabulates
functions of one variable, plots data points,fits curves to data points,solves
systems of linear equations and graphs functions of two variables.
Mathwright2000 workbook:
polar Description: This workbook is a general purpose polar
coordinates graphing environment featuring a variety of static and dynamic
representations.
Mathwright2000 workbook:
reflections Description: This workbook illustrates some facts about
motions of the plane that preserve distances between points. Such motions
are called "isometries" or "rigid motions.". Examples of these motions
are "translations" or "rotations" about a fixed point.
Mathwright2000 workbook:
row reduction Description: This workbook has a tool to row reduce
matrices. All operations are exact rational operations, unless the reader
enters decimals in the matrices. On the main page, the reader has an
array of standard tools to implement the row operations.
Mathwright2000 workbook:
slope of a tangent Description: This workbook illustrates the derivative
from several points of view. The student sees the graph of a function
she defines, and may slide a tangent line along it, viewing the numeric
values of the slopes. The points on the graph of the slopes are drawn.
Mathwright2000 workbook:
synthetic division Description: In this command-line workbook, students
explore synthetic division of polynomials with rational coefficients.
There is, among others, a command called synthetic that returns the
quotient of one rational polynomial by another together with the remainder.
Mathwright2000 workbook:
time, position, velocity Description: This workbook has a sprite animation that
illustrates the position and velocity graph of a car while the student
controls its speed with a slider.
Mathwright2000 workbook:
transformations Description: This workbook investigates linear and affine
transformations of the plane. The transformations are applied successively
to geometric objects such as triangles, and give a picture of the maps,
their compositions, and of commutativity properties.
Mathwright32 interactive
web course: discrete mathematics and computational stru Description: This is the first half of a 14-week course
in discrete mathematics. The lectures cover: sets,functions sets and
logic,composition of functions,set operations,permutations of sets,boolean
algebra,graphs and directed sets,relations,order,cardinality.
Mathwright32 interactive
web course: discrete mathematics and computational stru Description: This is the second half of a 14-week course
in discrete mathematics. The lectures cover: iteration and recursion,search,sets
defined by propositions,critical path analysis,counting,automatic problem
solving,relations and functions,graphs and logic.
Mathwright32 microworld:
a primer on derivatives Description: This microworld is an active excursion
into one of the most basic concepts of the calculus: the derivative.
It develops this idea with many simulations, illustrations, examples
and exercises. Throughout the book, readers may ask their own questions.
Mathwright32 microworld:
a world of curves Description: This microworld studies envelopes, evolutes,
involutes, pedals, negative pedals etc. These ways of determining curves
not only shed light on the curves and their characteristic properties,
but also produce some fantastic curves.
Mathwright32 microworld:
applications of the derivative Description: This microworld examines derivatives of
functions. The reader may supply functions, choose points on the graph,
and the tangent and secant line approximations are drawn while she chooses
small increments for the independent variable from the base point.
Mathwright32 microworld:
bernoulli trials Description: This microworld gives the opportunity to
experiment with bernoulli trials. The term Bernoulli trial refers to
a sequence of trials, each of which has two possible outcomes, called
success and failure. The probability of success is the same for each
trial.
Mathwright32 microworld:
calculus in action: chapter1: section 1: ballistics Description: This microworld studies the derivative
as a means of approximation. But galileo used another method, which
was due to archimedes, to calculate the exact distance fallen by a uniformly
accelerated object. This method will be called integration.
Mathwright32 microworld:
calculus in action: chapter1: section 2: newtons method Description: This microworld contains an illustration
of the conventional picture of newton's method. At each step, the student
sees a ray trace the tangent line to the x axis, and determine a new
value of x. The student defines the function and starting point.
Mathwright32 microworld:
calculus in action: chapter1: section 3: newtons method and chaos
Description: Newton's Method leads to a sequence of
numbers that may converge to a solution. This sequence may lead to stable
oscillations that do not converge to a solution from almost any starting
point but oscillate among several values. And it may lead to chaos.
Mathwright32 microworld:
calculus in action: chapter2: section 1: polar coordinates
Description: In this microworld, we introduce a style
of description that will serve us well throughout the book. It is called
polar coordinates. Any satellite moving under the influence of a central
force (like Newtons law of gravity) must remain in a plane.
Mathwright32 microworld:
calculus in action: chapter2: section 2: conservation of energy
Description: In this microworld, we discover another conserved quantity for satellite motion. That is the energy of the satellite. For that, we must make Newtons assumption about the actual form of the gravitational law. Mathwright32 microworld: calculus
in action: chapter3: section 1: plane curvature Description: In this microworld, we study plane curvature. We take up the notion of invariance under parameterization. We study arc length parameterization, the gauss map, and the fundamental theorem of calculus. Mathwright32 microworld: calculus
in action: chapter3: section 2: logarithmic spirals Description: In this microworld, we study the equiangular spiral, and develop the general techniques of differential equations that are needed to analyze it. We develop first eulers number and natural exponentials and logarithms and continue to apply eulers method. Mathwright32 microworld: calculus
in action: chapter4: section 1: geometry of planetary orbits
Description: In this microworld, we will show that planetary orbits are actually plane curves, and we establish the existence of the first conserved quantity, the angular momentum to establish keplers second law. Mathwright32 microworld: calculus
in action: chapter4: section 2: the grand deduction
Mathwright32 microworld:
calculus in action: precalculus introduction Description: This precalculus introduction to calculus
in action covers the following topics. free fall, ballistic trajectories,
inclined plane, energy conservation, momentum conservation, pendulum,
escape velocity, brachistochrone, symbolic calculator.
Mathwright32 microworld:
derivatives and graphs of functions Description: This microworld experiments with some general
applications of the derivative to the study of the behavior of functions.
This includes their critical behavior, local extrema, inflections. The
reader may work with built-in examples or supply her own.
Mathwright32 microworld:
epsilon Description: This microworld presents the epsilon-delta
definition of limit as a game, using a geometric picture of the usual
inequalities. Say the graph of a function "fits in a rectangle" if it
can be graphed in the rectangle without going off the top or bottom.
Mathwright32 microworld:
graphs and their functions Description: This microworld steps you through a series of demonstrations, each of which shows some relation between functions and graphs: the role of parameters, shifts, translations, and stretches and compressions. the reader may supply his own functions. Mathwright32 microworld: implicit
surfaces Mathwright32 microworld:
inclined planes Description: This microworld tells a story about newtonian force diagrams in the contexts of inclined planes and pulley systems. It does this in a series of four interactive and animated examples that allow the reader to experiment with various parameters. Mathwright32 microworld: introduction
to linear programming Mathwright32 microworld:
limits and continuity Description: This microworld assembles a variety of
tools for visualizing left, right, and two-sided limits of functions
of a single variable. The reader may define functions with algebraic
forms, or piecewise. There is a versatile function grapher on each page.
Mathwright32 microworld:
linear approximations Description: Linear approximation is the easiest way
to approximate the value of a function. This method is also the simplest
way to interpolate data. The method uses the value f(a) and derivative
at the point x=a to approximate value of f(c), where c is close to a.
Mathwright32 microworld:
magnify Description: This workbook explores two fundamental
ideas of calculus, the limit and the derivative, visually in an activity
of successively zooming in on one point of a graph. If the graph eventually
becomes a straight line, the derivative is the slope of that line.
Mathwright32 microworld:
mathscript author toolkit Description: This microworld has a command-line that
teachers can provide for their students. Students may use the book to
type commands to do graphics, decimal arithmetic, matrix or symbolic
algebra, for example. It provides a tutorial for the mathscript language.
Mathwright32 microworld:
matrix equations Description: This is a web presentation of three interpretations
of a linear system: as simultaneous scalar equations, as a single vector
equation, and as a matrix-vector equation. For each view there is an
interactive visualization exercise, embedded in a webpage.
Mathwright32 microworld:
matrix workbench Description: This microworld calculates exact rational
matrices. All operations are exact rational operations,unless the reader
enters decimals in the matrices. The reader has a control panel to create
and edit new matrices, and a command line for matrix expressions.
Mathwright32 microworld:
method of bisection Description: The method of bisection is one of the simplest
and most reliable ways to find numerical solutions to equations. Use
it to solve an equation in the form: f(x) = 0 for x. We assume that
f is a continuous function on an interval of numbers [a, b].
Mathwright32 microworld:
mwmilton calculator Description: This microworld performs a variety of numerical
and symbolic computations: m.w. milton graphs and tabulates functions
of one variable, plots data points,fits curves to data points,solves
systems of linear equations and graphs functions of two variables.
Mathwright32 microworld:
optimize Description: This microworld takes as its theme: the
visualization of maximization problems. It presents a sequence of problems
that are masterfully chosen to help the reader see what optimization
means in the context of a lively and interactive environment.
Mathwright32 microworld:
pollution of lakes Description: In this microworld there are three lakes.
The inflow pattern for the three lakes is defined by difference equations.
The task is given to engineers to figure out how many years it will
take to clean lake 3. You experiment by varying flow parameters.
Mathwright32 microworld:
progeny Description: In this microworld, we consider the following:
propagation of plants fibonacci's rabbit problem, golden ratio, golden
rectangle, a paper-folding activity is given to construct a golden rectangle.
The modeling procedures use linear difference equations.
Mathwright32 microworld:
rational matrix calculator Description: This microworld calculates exact rational
matrices. All operations are exact rational operations,unless the reader
enters decimals in the matrices. The reader has a control panel to create
and edit new matrices, and a command line for matrix expressions.
Mathwright32 microworld:
row reduction Description: This microworld has a tool that one may
use to row reduce matrices. All operations are exact rational operations,
unless the reader enters decimals in the matrices. There are two "help"
pages that explain how to operate the book.
Mathwright32 microworld:
shortest paths Description: This microworld explores the distance from
a point to a line or a curve. The user can explore characteristics of
the shortest distance. Shortest distance from a point to a line is studied
using a formula in geometry as well as optimization techniques.
Mathwright32 microworld:
simultaneous equations Description: This is a web presentation of three interpretations
of a linear system: as simultaneous scalar equations, as a single vector
equation, and as a matrix-vector equation. For each view there is an
interactive visualization exercise, embedded in a webpage.
Mathwright32 microworld:
spherical logo Description: Logo has long been a favorite way of introducing students to computational geometry and logic. Well, Terra, the turtle in this microworld lives in a sphere. Her geometry is Riemannian (spherical) geometry and she has a great many things, to show you. Mathwright32 microworld: stay
afloat! Mathwright32 microworld:
surfaces of revolution Description: This microworld discusses surfaces of revolution.
Each topic is developed through an interactive exploration that allows
the reader to experiment with the ideas and to visualize its consequences.
Mathwright32 microworld:
symbolic calculator Description: Students may use this microworld to type
commands to do graphics, decimal arithmetic, matrix or symbolic algebra.
The online documentation provides a tutorial for the mathscript language,
the over 270 mathscript commands and built-in functions.
Mathwright32 microworld:
synthetic division Description: In this command-line workbook, students
explore synthetic division of polynomials with rational coefficients.
There is, among others, a command called synthetic that returns the
quotient of one rational polynomial by another together with the remainder.
Mathwright32 microworld:
triangle optimization Description: This microworld helps readers see why among
triangles of fixed perimeter, equilateral triangles are the ones that
have maximum area. Two proofs of this fact are also discussed. The first
proof depends upon multivariable calculus. The second is simpler.
Mathwright32 microworld:
vector equations Description: This is a web presentation of three interpretations
of a linear system: as simultaneous scalar equations, as a single vector
equation, and as a matrix-vector equation. For each view there is an
interactive visualization exercise, embedded in a webpage.
Mathwright2000 workbook:
2d vectors Description: This workbook is an introduction to the
basic algebra and geometry associated with vectors in the plane. It
includes vector representation of a line and vector projections.
Mathwright2000 workbook:
3d graphics Description: On the first page is a simulation that
allows readers to define a plane then to view the way the plane intersects
a cone. Next, the reader may view the two-dimensional graph of the same
intersection. In this way, the idea of conic section is reinforced.
Mathwright2000 workbook:
animations Description: This workbook is a tool that the reader
may use to create animations or movies describing the behavior of solutions
to planar differential equations. On a later page of the book is a viewer
that allows the reader to play any of her movies.
Mathwright2000 workbook:
bernoulli slider Description: This simulation explores the problem of
john bernoulli to discover the curve connecting two points for which
the time of descent of a sliding bead moving from higher to lower is
minimized. Experiment with curves you create and compare with the solution.
Mathwright2000 workbook:
boats Description: This playbook explores archimedes' bouyancy principle and optimization in a story in which players build a boat by cutting and assembling planks from a board and putting them together. The problem is to build a boat that will carry two across the river. Mathwright2000 workbook:
d. e. set: modeling populations Description: This workbook explores common models for
population dynamics. Both single species and 2 interacting species are
treated. Some models covered are single species: malthusian (exponential),
logistic, 2 species: predator prey, competing, cooperating.
Mathwright2000 workbook:
d. e. set: parametric equations Description: Given two functions of an independent variable
t, say x(t) and y(t) , the graph of y vs x is defined and explored.
The book explores the relationships among the three graphs x vs t ,
y vs t , and y vs x, and the phase portrait of a 2-dimensional system.
Mathwright2000 workbook:
difference equations Description: This workbook gives interactive simulations
of some discrete models of growth using difference equations. It provides
a page to allow readers to report their observations. The reader may
create a movie on the logistic model, and play the movie back.
Mathwright2000 workbook:
differential equation set the pendulum Description: This book introduces the kinematics of
pendulum motion. The description of state with angles, the use of time
with angle versus time graphs, the representation of velocity and velocity
versus time graphs, and the phase portraits, all help visualization.
Mathwright2000 workbook:
differential equation set: bifurcation Description: This workbook gives dynamic examples of
bifurcations in differential equations. For each example, "typical"
parameter values are shown, an animation of the changing phase line
is available, and the "bifurcation diagram" is drawn.
Mathwright2000 workbook:
differential equation set: de tools Description: This is a set of tools for studying differential
equations concepts and analyzing models. We include a function grapher
with adjustable parameters, 2d and 3d graphs of parametric equations,
approximate solutions, via runge-kutta, to de's and 2d systems.
Mathwright2000 workbook:
differential equation set: eulers method Description: This workbook explains the concept of estimating
a numerical solution to a differential equation. There is also an introduction
to the order 4 runge-kutta method.
Mathwright2000 workbook:
differential equation set: phase plane Description: This workbook introduces the phase portrait
for a 2-dimensional system of ordinary differential equations. Suggested
questions for exploration are included. The phase line for single equations,
and phase space for 3d systems finishes the workbook.
Mathwright2000 workbook:
differential equation set: slope fields Description: This workbook introduces the idea of a
slope field (direction field) for a first-order differential equation
using qualitative analysis. Included is a game that illustrates uniqueness
of solutions and sensitive dependence on initial conditions.
Mathwright2000 workbook:
differential equation set: spring lab Description: This workbook may be used in place of physical
weights and springs. We discuss the differential equation governing
the vibration of a spring, including linear, hard, and soft springs.
The reader can vary parameters for animated graphical output.
Mathwright2000 workbook:
differential equation set: temperature Description: This workbook is an introduction to newton's
law of cooling from a differential equations standpoint. Experiments
help the reader understand the effects of parameters on the temperature
of an object in either a constant or a variable temperature medium.
Mathwright2000 workbook:
differential equations course (complete) Description: This sequence of 11 interactive workbooks
places before the reader such a wide range of experiments with ordinary
differential equations th | |||||||||||||
