This course by Harvey J. Greenberg goes deeper into linear programming,
starting from having had a graduate course in LP and some introduction to
graph theory. Topics include sensitivity analysis, model simplification, graphs
of linear programs, embedded and hidden structures, sparse matrix techniques
for simplex and interior methods.
Algorithms and Complexity
The links to this book by Herbert Wilf are on his
home page.
Binomial Coefficients is an on-line dynamic survey, available on the World
Wide Web, and accessible from various mathematical sites and e-journals. It
is an edited document, in HTML, and can and will be edited as new developments
arise. Content is at the discretion of the editors. We wish to make HyperLinks
to other sites where pre-prints about Binomial Coefficients are available.
Editors are Andrew Granville and Richard Witt.
An introduction to High Performance Computing issues as a preparation for
research and studies in computational science and computational engineering.
The intended audience are students in science and engineering at the advanced
undergraduate level and higher. Mirrored at the following sites:
The DIANA probability module (revisions in progess) is the first module
in a series of modules to be used in an introductory undergraduate statistics
course. DIANA is a World-Wide Web facility that enables teachers to assess
the knowledge base of their class (facets) while providing valuable instructional
feedback (prescriptions) to students.
This project is a National Science Foundation sponsored project designed
to help secondary school and college teachers of mathematics bring contemporary
topics in mathematics (chaos, fractals, dynamics) into the classroom, and
to show them how to use technology effectively in this process. At this point,
there are several interactive papers available. These are designed to help
teachers understand the mathematics behind such topics as iterated function
systems (the chaos game) and the Mandelbrot and Julia sets.
Geometric constraint solving has applications in many different fields,
such as molecular modeling, Computer-Aided Design, tolerance analysis, and
geometric theorem proving. In this primer, a solution to the problem of finding
a configuration for a set of geometric objects which satisfies a given set
of constraints between the geometric elements is detailed. We have provided
four different "tours" through the material in order to allow different types
of users easy access to the information appropriate to their needs.
Here you can explore the space of cellular automata (CA). using a sequence
of interactive pages for generating CA with certain properties, by tuning
some parameters .
This tutorial is written in order to ease the transition from the very common
and popular programming language Fortran 77 to the more modern Fortran 90.
Notes and handouts for an innovative geometry course developed at Princeton
and the Geometry Center by John Conway, Peter Doyle, Jane Gilman and Bill
Thurston.
This is the home page for a series of short interactive tutorials by Chris
K. Caldwell introducing the basic concepts of graph theory. They are designed
with the needs of future high school teachers in mind and are currently being
used as a supplement to a Mathematical Modeling course.
The Department of Mathematical Sciences at Montana State University is offering
an online version of Statistics 438, Graphical Data Analyisis. This course
is about graphical data analysis, how we can use graphics to explore data
and present results to others. The course explores topics ranging from human
visual perception and computer vision to conditional expectation and empirical
distributions. There is a special off campus page to help Internet visitors
get started.
Contains self-study modules (Mathematica notebooks) covering the mathematics
topics that students need for university courses in mathematics. There is
a mirror on the Mathematics
Archives
Factor analysis is a mathematical tool which can be used to examine a wide
range of data sets. It has been used in disciplines as diverse as chemistry,
sociology, economics, psychology and the analysis of the performance of race
horses. This tutorial is designed to provide a basic understanding of the
principles underlying factor analysis. The focus of the tutorial is the analysis
of a 'factor space' or 'data space'. It was written to introduce the undergraduate
chemistry major to the basic concept of a 'data space' and to demonstrate
how factor analysis can be used to study a 'data space'. As an aid to conceptualization
a geometric approach is used wherever possible and the actual linear algebra
involved is illustrated.
This material is provided for students enrolled in a numerical analysis
class required of Computer Science majors taught by James Carr at Florida
State University.
This hypertext project, Interactive text book for Real Analysis, was developed
by Bert G. Wachsmuth and supported by a grant from Seton Hall University.
This undergraduate level text book contains standard text, interactive exercises,
and laboratory programs. All definitions and theorems that are necessary for
an exercise can be looked up. Some exercises contain Maple programs which
can be run on systems which have Maple installed.
Purpose: To teach essential language concepts which have been underemphasized
in the usual mathematics curriculum. To emphasize the basic patterns of mathematical
expression and thought.
This book features a definitive reformulation of algorithmic information
theory with new more constructive definitions of program-size complexity.
It is a revised version of the course notes given to the participant at the
limits of mathematics short course, University of Maine, Orono, Maine, June
1994.
This is the cover page of Mark V. Sapir's Linear Algebra WebNotes. This
is a complete undergraduate Linear Algebra course including the text of lectures,
homework assignments and tests with solutions, a discussion page, Maple examples,
etc.
Information on a fundamental course for students specializing in operations
research and/or optimization. Topics include model formulation, solution methods,
duality and sensitivity analysis.
This is the home page of Jim Wilson at the University of Georgia and contains
links to web pages for courses in Mathematics Education. Included are the
results of many student projects.
The UK Mathematics Courseware Consortium is a project in the Teaching and
Learning Technology Programme. It is producing Computer Based Learning modules
in Mathematics, especially for Science and Engineering students.
The Mathwright Library is a collecion of Mathwright Books which have been
produced by the authoring system, Mathwright. This WEBsite makes available
for downloading a Mathwright Library Player which may be used as a viewer
for the WorkBooks in this Mathwright Library. However, it is capable of reading
only the WorkBooks supplied through this WEBsite. There is a commercial version
of Mathwright Library Player which has many additional features. Among the
many topics covered in this library are Area Between the Graphs, Bernoulli
Trials, Chaotic Pendulum, Curves in Art and Nature, Difference Equations,
Dynamical Systems, Eigenvector, Factoring Polynomials, Golden Ratio, Lunar
Lander, Matrix Calculator, Periodic Functions, Pool Game, Polar Graphs, Space
Filling Curve, and Work Problems.
Site established by Mathworks, publisher of MATLAB, which contains links
to colleges, universities and high schools which have course materials using
MATLAB.
The Mentor Project is a Teaching and Learning Technology Project (backed
by the Committee of Professors in Operational Research) whose aim is to produce
16 computer based modules in a variety of commonly taught Operational Research
subjects. The modules contain hypertext, still/interactive graphics, animations,
video and technique software integrated in a complete learning environment.
In this manual, M. Manzini gives a short presentation of some numerical
methods for the solution of 1D compressible fluid flow problems. This is a
title in the CRS4
Active-Books Library.
These labs were developed at Nebraska Wesleyan University as part a two
and a half year NSF/ILI grant awarded in the Spring of 1995. The labs use
Mathematica and will be class tested for the first time in the Spring of 1996.
Online exercises is an ongoing project to design and implement automatically
generated and computer-graded exercises administered through the Web. We use
the Internet and innovative software to remove a large portion of the routine
exercises from the classroom, and to tailor the exercises to large and diverse
student populations. HTML documents which include graphs and mathematical
expressions are created from LaTeX-based templates. Templates may be remotely
installed through Web interface. The system supports answers in the multiple
choice format as well as numerical and algebraic formulas.
"Practicum in Numerical Analysis (PNA)" is a set of laboratory tasks designed
to be a supplement to the course of numerical analysis. The exercises illustrate
the basic numerical methods, show their advantages and limitations and help
to understand the behavior of numerical solutions.
These pages were written by Kevin Coombes as an experiment to aid students
to better understand proofs of theorems. From an email message: It seems to
me that one of the main difficulties that students of (higher) matematics
encounter stems from the insistence on getting all the logical prerequiesites
set up before trying to explain anything interesting. (Of course, this style
of presentation goes back at least as far as Euclid.) Hypertext should make
it possible to explain the ideas behind a proof before writing down the proof
formally, and it should also allow you to link to the lemmas so that they
can be read only as needed when trying to understand more details in a proof.
Taught by Frederick J. Wicklin and Davide P. Cervone at the University of
Minnesota. This course was an experimental course that emphasized the geometric
aspects of calculus, and included a strong computer-based laboratory component.
At the end of the course, students generated their own hypertext documents
and labs, of which several are presented here.
The objective set in this first strand to this project is to design software
which would make the laboratory work much more effective and more efficient.
Initially this was to be based in a service class for Bioscience students
but a further development is to make available the authoring resources as
tools for other lecturers so that they can piece together their own tutoring
system simply by modifying existing applications. The second strand to the
project is to develop materials which could be used in statistical modelling.
This would link in the capabilities of computer algebra package together with
a tutoring system. The aim is to encourage students to develop their understanding
of statistical modelling using graphical presentations. Most of the mathematical
methods would be handled by the computer algebra package.
Many of these Maple worksheets were prepared as part of the project MATHWEB
that was funded by RMIT as a Strategic Proposal for Technology in Teaching
and Learning. The Mathematics Department gratefully acknowledges this grant
as well as money obtained from the Faculty of Applied Science's Quality Assurance
committee to support the introduction of Maple into the teaching and learning
programmes of large enrolment subjects. These worksheets include a number
of animated movies.
This page is based on the material which appears in the Solving the Quintic
with Mathematica poster, and allows you to solve fifth-degree polynomial equations
using several programs written in Mathematica by Michael Trott and Victor
Adamchik. The notebooks containing the programs are available on MathSource.
This is a statistics textbook which is being written by Jan de Leeuw on
the WWW. It includes demos which use Xlisp-Stat and includes a number of pages
which have interactive calculators.
This is a substantial listing of resources for the teaching of Statistics
which has been organized by Juha Puranen, Department of Statistics, University
of Helsinki.
The STEPS project brings together nine departments in seven universities
throughout the UK to develop problem based teaching and learning materials
for statistics. The materials being produced are based around specific problems
arising in Biology, Business, Geography and Psychology. It is intended that
students will discover that statistical issues arise from these problems as
important natural parts of the process of reaching conclusions. The role of
the computer is to assist in the exploration of the problem and to provide
support materials for the statistical ideas encountered. Graphical illustration
plays a major role. A glossary of statistical terms is provided, and, where
appropriate, problem modules can be operated in parallel with standard packages.
A home page for this freshman level class at the University of Chicago by
Bryan Clair which has lots of links and some interactive demos on number theory
and geometry.
Transmath is a computer-based mathematics tutor designed to strengthen and
consolidate the basic mathematical knowledge of students commencing numerate
degree courses. Topics include: Introduction to Differentiation, Techniques
of Differentiation, Introduction to Indefinite Integration, Techniques of
Indefinite Integration, Definite Integration, Ordinary Differential Equations,
Matrices, Vectors, etc.
