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Mathematics Resources on the InternetLearning and Teaching Support Network Centres for Engineering and forMaths,Stats and ORMathematics Resources on the InternetAn electronic guide prepared by Pam Bishop for the workshop on TeachingMaterials for Engineering Mathematics within the IMAConference onthe Mathematical Education of Engineers, 26-28 April 2000This is a guide to some of the ways in which the WorldWide Web can be used as a resource for teachers and learners of mathematics.Browsing the Internet can be very time-consuming, so the following selectionhas been made to save time during this workshop. Many of the descriptionshave been taken or modified from the documents themselves; some are tutorialsor interactive materials, others are mathematical tools.Some of these sites use special browsers or plug-ins which can be installedas part of Netscape or Internet Explorer. This has been done in advanceat Loughborough to save time. If you want to take advantage of such facilitieson machines in your institution, you will have to download and installthem. Some are dependent on the platform used. The sites below are classifiedinto two sections - the earlier ones can be viewed from a simple platformsuch as Windows 3, while the more sophisticated onesrequire Windows 95 or better.Many sites are listed on the Mathematics Gatewaypage originally set up by CTI Mathematics. These represent resourcesof all kinds, including links to departments, organisations and projectsdeveloping Web resources for research, teaching and learning. If you findsites of interest that are not included in our pages, please send us details.Selection of North American sites containing tutorial materialsMathematics Archives- Lessons and TutorialsVery useful list of links to lessons and tutorials from all over the world,which was used in compiling this selection.EngineeringMathematics - Math 293 at Cornell UniversityThe Math 293 course site includes the text of a series of 41 lectures inengineering mathematics, covering vectors, ODEs (Ordinary DifferentialEquations), and linear algebra.Course Notes: Engineering Dynamics,Engineering Statics and Mathematics Needed for MechanicsThese notes, for courses run in Department of Engineering Mechanics atthe University of Nebraska, cover statics, dynamics and maths needed formechanics.TheWavelet TutorialThe Wavelet Tutorial was compiled by Robi Polikar from the Departmentsof Electrical Engineering and Biomedical Engineering at Iowa State Universityto address his perception that most, if not all, wavelet material was writtenby maths people for maths people in a language difficult to follow.The World Lecture Hall- MathematicsThe World Lecture Hall based at the University of Texas contains linksto pages created by academics worldwide who are using the Web to deliverclass materials. For example, you will find course syllabi, assignments,lecture notes, exams, class calendars, multimedia textbooks, etc. In practicenearly all contributions are based in North America.Classifiedlist of Web resources for undergraduate teachingA newly created service function in the Mathematics Department, Universityof Colorado at Denver, aimed at helping their staff to use the World WideWeb to support their teaching.Finite Mathematicsand Calculus Applied to the Real WorldOnline tutorials and utilities developed at Hofstra UniversitySimon Fraser- Organic Mathematics Home PageThis contains some useful tutorials and a number of specialised Maple Webinterfaces so that you can use the Maple engine without having the packageon your own machine.Calculus&MathematicaDeveloped at the University of Illinois at Urbana-Champaign and the OhioState University, Calculus&Mathematica presents calculus, differentialequations, and matrix theory. Students are no longer bound to the traditionalclassroom setting, nor do they even need to be on a college campus to gainvaluable hands-on experience in practical calculus problems with the helpof Mathematica. Instead of using rote memorization, students in Calculus&Mathematicause experimentation and real-time visualization to learn fundamental calculusconcepts and ideas.Graph Theory TutorialsThe home page for a series of short interactive tutorials introducing thebasic concepts of graph theory developed by Chris K Caldwell (C) 1995,University of Tennessee at Martin. You can register online to look at thetutorials, which are designed with the needs of future high school teachersin mind and are currently being used as a supplement to a MathematicalModeling course.Interactive RealAnalysisAn online, interactive textbook for Real Analysis and Advanced Calculusin one real variable. It deals with sets, sequences, series, continuity,differentiability, integrability (Riemann and Lebesgue), topology, andmore. The text is changing constantly, and comments are very welcome.Online ExercisesOnline Exercises provide automatically generated computer-graded smartexercises for instruction via the Web. HTML documents with graphs, links,and complex formulas are created individually for every student. The systemsupports answers as numerical or algebraic formulas, true-false, and multiplechoice. Based at University of CinncinnatiStudies in MathematicsThis is the home page for Bryan Clair's Math 110-111 course at the Universityof Chicago. He is no longer running this particular course, but the resourcesare still available, and provide lots of examples as to how the Web canbe used. "This page is meant as a resource for the students in the class.You can download homework or old exams, get additional resources, checkyour grades, or talk to Bryan, the TA's, or other students. Using thispage is not a course requirement, but hopefully it can be of great helpto you."Mathwright LibraryThis is a set of books written in the MathWright authoring language, whichhas already been downloaded for your use - you will need to download thebook of your choice. The Mathwright Library is currently being developedwith the support of the National Science Foundation as the ILI project:Library for the Interactive Study of Mathematics, directed by James E Whiteand Ladnor D Geissinger. Many of the Library books that were developedduring the years 1992-96 were built under the auspices of the MAA sponsoredInteractive Mathematics Text Project (co-directed by Jerry Porter and JamesWhite), and with major funding from the IBM Corporation, and the NationalScience Foundation.Selection of UK Sites containing tutorial materialsGeomaths MathHelp projectBased at University College London, this is a joint Geological Sciences/Mathematicsproject funded by the HEFCE as part of the Fund for the Development ofTeaching and Learning (FDTL) programHeriot-Watt WebTest Home PageWebTest is a system for delivering assessment tests via the web. Originallydesigned to provide self-assessments in mathematics, it has now been extendedto other subjects and is used to provide tests for Heriot-Watt studentson a variety of courses.OptimizationIB 1998This is the home page for a course of 12 lectures to first and second yearCambridge mathematics students in spring 1998MathematicalAssessment on the WebPart of the MARBLE project funded by the Use of MANs Initiative (UMI),this page delivers a multiple choice mathematical testFibonacciNumbers and the Golden SectionHere you can find out who Fibonacci was, look at the Fibonacci series ofnumbers and some of their numerical properties and all the places thatit turns up in nature. There is another page on some puzzles where theanswers all seem to involve the Fibonacci numbers and a page to show wherethe Fibonacci numbers have been used in art, in architecture and in music.Compiled at the University of Surrey.Learning modulesonline with MathematicaHere are some online demonstrations of the experiment-based modules tobe found in the book Experiments in Undergraduate Mathematics publishedby the METRIC project at Imperial College.Using Computersfor Scientific WorkWeb mathematics teaching material developed at UMIST, which includes MathematicaworksheetsWANDA projectat DundeeThis project developed hypertext pages of use to staff and students inmathematics-related subjects at Dundee, St Andrews and Arbertay Universities.The main features include a numerical analysis web site and interactivetutorials for widely-used software packages (Matlab, Maple and LaTeX).History of MathematicsAward-winning archive based at the University of St AndrewsStandard Packages - educational sitesMathSoft's educationalsiteMathcad educational files, including the MathBrowser for reading Mathcadfiles on the WebMathSourceWolfram Research archive of materials using Mathematica, including theMathReaderCyberMathEducational material written in MathView, previously known as Theoristor MathPlusMaple educationalresourcesThis page is maintained by the Computer Algebra Information Network. CAINEurope is a server providing all kinds of information about Symbolic andAlgebraic Computation which is set up by eight teams in the framework ofthe European SAC Network maintained by CAN / Riaca (Computer Algebra Nederland)Universal Technical Systems IncUniversal Technical Systems specialises in software solutions for mechanical,chemical, electrical, civil and structural engineering, financial analysis,chemistry, and engineering education. The site includes technical bulletinboards, an online UTS Gear On-line Bulletin with archives, an academicresource centre, and product information. An example of their productsis TK Solver for simple equation solving and complex mathematical modelling.Other sites with a substantial collection of maths resourcesMathematics Archives(Tennessee)A wonderful collection of classified resources, including a searchabledatabase of teaching materials, software and WWW links organized by MathematicalTopics. The software section on public domain and shareware software isnow available from the UKMirror Service.Geometry Center (Minnesota)Funded by the US National Science Foundation, this Science and TechnologyCenter has a unified mathematics computing environment supporting mathand computer science research, mathematical visualization, software development,application development, video animation production, and K-16 math education.CSC (Scientific Computing,Finland)Resources which include examples of mathematical visualisations and animationsMATH Database 1931-1996A service of the European Mathematical Society providing a bibliographicsearch facilityVisualIndex of all Uniform Polyhedrafrom the pages of Prof. Dr. Roman Maeder in SwitzerlandTheMathematical Modellers DatabaseAn international catalogue of people who are involved in mathematical modelling,developed at the University of Ulster as part of the MathSkills project.Electronic Catalogueof teaching innovationsAgain developed at Ulster, the aim is to provide a searchable databaseon the MathSkills' web pages which mathematics lecturers can use to obtainideas and advice on new methods of teaching or assessment, not necessarilyrelating to the use of technology.Math ForumA Center for Math Education on the Internet funded by the National ScienceFoundation. The goal of Math Forum is to build a community that can bea center for teachers, students, researchers, parents, educators, citizensat all levels who have an interest in mathematics education.Math in the MoviesA Guide to Major Motion Pictures with Scenes of Real MathematicsMegaMath Home PageMegaMath is a project of the Computer Research and Applications Group ofLos Alamos National Laboratory.It is intended to bring unusual and important mathematical ideas to elementaryschool classrooms so that young people and their teachers can think aboutthem together.Collection of mathscartoonsA collection of some math related comics and cartoons, displayed here forenjoyment and educational use. Favorite Mathematical ConstantsAll numbers are not created equal; that certain constants appear at alland then echo throughout mathematics, in seemingly independent ways, isa source of fascination. Just as physical constants provide "boundary conditions"for the physical universe, mathematical constants somehow characterizethe structure of mathematics.Internet Center forMathematics ProblemsMathPro Press searches journals and other media to set up this page, whichidentifies and lists all sources of mathematics problems on the Internetand related information.On-line MathematicsDictionaryAnother service from the MathPro Press.Eric's Treasure Trove of MathematicsA very useful and popular online maths dictionary originally produced atthe University of Virginia and now sponsored by Wolfram ResearchSpreadsheets in Maths,Science and Statistics Education (Austria)This page tries to collect some information about spreadsheets with anemphasis on mathematics and statistics education.WWW Virtual Library:MathematicsYahoo - Science: MathematicsMathSearch(Sydney)The last three sites are created by Web search engines, and consist ofsearchable collections of documents relating to mathematics.Sites which use Java (not currently available underWindows 3)AnIntroduction to Power Series - interactive lectures on Power Seriesdeveloped for electronic engineering at the University of BirminghamNon-EuclideanGeometry - part of the Clyde Virtual UniversityVectorCross Product - JAVA Interactive TutorialCalMaeth - Computer AidedAssessment and Learning of Mathematical MethodsPythagoras'HavenEuclid'sElements, IntroductionMartindale's'The Reference Desk: Calculators On-Line'AShort Course in Linear ProgrammingThe future of maths on the WebThe workshop PuttingMathematical Notation on the Web took place last year, but a lot ofthe material referred to in the report is still valid. It includeda very valuable hands-onsession on techexplorer from Francis Wright, Queen Mary and WestfieldCollege. This document was prepared on 01July 2002Please mail any comments to p.bishop@bham.ac.uk İ Copyright |
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