AMSER
https://amser.org/index.php?P=Home
AMSER (the Applied Math and Science Education Repository) provides educational resources and services built specifically for use by those in Community and Technical Colleges but free for anyone to use.en-usealmasy@scout.wisc.eduealmasy@scout.wisc.eduThu, 24 Apr 2014 00:00:00 -0500Thu, 17 Apr 2014 00:00:00 -0500http://www.rssboard.org/rss-2-0-1Undergraduate Seminar in Discrete Mathematics
https://amser.org//index.php?P=FullRecord&ResourceId=16235
https://amser.org//index.php?P=FullRecord&ResourceId=16235This course, presented by MIT and taught by Daniel Kleitman, provided instruction on combinatorics, graph theory and discrete mathematics. The main content provided online is a sample final paper project assignment. Examples of several student projects for that assignment are included. MIT presents OpenCourseWare as free educational material online. No registration or enrollment is required to use the materials.Thu, 9 Dec 2010 03:00:03 -0600Magic Squares
https://amser.org//index.php?P=FullRecord&ResourceId=6424
https://amser.org//index.php?P=FullRecord&ResourceId=6424This website focuses on “magic squares” and their mathematical significance. Magic squares received their name because there are so many relationships between the sums of the numbers filling the squares. Students can use this site to explore what those relationships are, and instructors will find many ideas and teaching tools in this rich resource. Visitors can learn about the history and development of magic squares, the prominent mathematicians behind their use, and the equations that explain them. This website would be helpful for students, teachers, and math novices alike.Fri, 4 Apr 2008 03:00:01 -0500Computational Biology and Chemistry
https://amser.org//index.php?P=FullRecord&ResourceId=5973
https://amser.org//index.php?P=FullRecord&ResourceId=5973This website addresses the research of Bruce Donald's lab at Duke University in the use of Physical Geometric Algorithms (PGA) to better understand computational molecular biology. Researchers can find information on the group's software, funding, research, and downloads to many of the group's papers. There are also links to biochemistry seminars and other outside resources.Thu, 6 Mar 2008 03:00:02 -0600Tangram Game
https://amser.org//index.php?P=FullRecord&ResourceId=5696
https://amser.org//index.php?P=FullRecord&ResourceId=5696PBS presents this game in which students are asked to rearrange and rotate a set of geometric shapes to form the image of a rabbit, candle, fox, and others. Tangram "is an ancient game that originated in China" and it teaches students basic geometry and algebra concepts. It is a great beginning activity to get students in the classroom thinking about geometry and can be used as a lead in to more complex topics such as tessellations.Fri, 22 Feb 2008 03:00:03 -0600Tessellate!
https://amser.org//index.php?P=FullRecord&ResourceId=5695
https://amser.org//index.php?P=FullRecord&ResourceId=5695Interactivate, Shodor's "set of free, online courseware for exploration in science and mathematics" presents this activity to teach students the geometry concept of tessellation. The java-based activity allows students to create their own tessellations "by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane." In the "Learner" tab, users can find basic information about what a tessellation is along with associated discussions, worksheets, and lessons from Shodor. The activity itself allows students to create a tessellation and print it, making it perfect for a homework activity. There is a detailed help section for using the application, and the "Instructor" tab features curriculum context and resources.Thu, 21 Feb 2008 03:00:02 -0600Tessellations: Tiling
https://amser.org//index.php?P=FullRecord&ResourceId=5694
https://amser.org//index.php?P=FullRecord&ResourceId=5694Presented by Utah State University, this interactive online math lesson teaches students about geometry and tessellations by "using regular and semi-regular tessellations to tile the plane." The java-based activity allows students to create their own tessellations using triangles, polygons, squares, and octagons. Instructions for individual practice are given on the right side of the screen, and students are allowed to work at their own pace. It's an excellent in-class or homework activity for any geometry classroom.Fri, 15 Feb 2008 03:00:01 -0600AMOF: The Amazing Mathematical Object Factory
https://amser.org//index.php?P=FullRecord&ResourceId=5440
https://amser.org//index.php?P=FullRecord&ResourceId=5440Combinatorial objects are everywhere. How many ways are there to make change for $1 using unlimited numbers of coins of all denominations? Each way is a combinatorial object. AMOF is part encyclopedia and part calculator, a teaching tool that generates mathematical permutations for such combinatorial objects as subsets and combinations, partitions, magic squares, and Fibonacci sequences by allowing the user to define the parameters of discrete objects. The Object Factory returns a list of all objects that satisfy those parameters. The site can be used to learn more about many types of discrete mathematical structures; descriptions of objects progress in complexity for students at different levels. For more advanced materials, see the Combinatorial Object Server (COS).Tue, 25 Dec 2007 03:00:01 -0600Combinatorial Object Server (COS)
https://amser.org//index.php?P=FullRecord&ResourceId=5439
https://amser.org//index.php?P=FullRecord&ResourceId=5439Specify a type of combinatorial object, together with specific parameter values, and COS will return to you a list of 200 such objects. Generation pages: permutations, combinations, various types of trees, unlabelled graphs, linear extensions of posets, pentomino puzzle solutions, numerical partitions, and a host of other objects. This server is designed for researchers and educators; the corresponding version for K12 students and educators runs on Canada's SchoolNet, and is called The Amazing Mathematical Object Factory.Mon, 24 Dec 2007 03:00:01 -0600Combinatorics
https://amser.org//index.php?P=FullRecord&ResourceId=5448
https://amser.org//index.php?P=FullRecord&ResourceId=5448About 40 "informal notes" by Kevin Brown on combinatorics: Dedekind's problem, cumulative permutation sequences, the factorial number system, Hardy and Ramanujan on partitions, solving magic squares, collecting k complete sets of coupons, and many more.Fri, 14 Dec 2007 03:00:02 -0600Computational Geometry
https://amser.org//index.php?P=FullRecord&ResourceId=5461
https://amser.org//index.php?P=FullRecord&ResourceId=5461A short article designed to provide an introduction to computational geometry, intended for topics whose geometric aspects are fairly straightforward, but for which the main questions involve efficient, accurate computation. A number of geometric questions arise involving large sets of points (e.g. which of these points are closest together?) which are arguably combinatorics or statistics, but which have been included here.Fri, 14 Dec 2007 03:00:02 -0600Perfect Problems
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https://amser.org//index.php?P=FullRecord&ResourceId=5457Unsolved problems on perfect graphs, a collection for people with at least a basic knowledge of the subject. Contents include: Perfection of special classes of Berge graphs; Recognition of special classes of Berge graphs; Decompositions of perfect graphs; Minimal imperfect graphs, partitionable graphs, and monsters; Parity problems; The P4-structure; Quantitative variations on the Strong Perfect Graph Conjecture; Intersection graphs; The Markosyan manoeuvre; Appendix: Odds and ends. With a bibliography, and home pages of people interested in perfect graphs.Thu, 13 Dec 2007 03:00:01 -0600College Algebra Online Tutorials
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https://amser.org//index.php?P=FullRecord&ResourceId=5545The introduction to this site remarks, "If you need help in college algebra, you have come to the right place." Their statement is accurate, as the staff members at the West Texas A&M University's Virtual Math Lab have done a fine job creating a series of online algebra tutorials for students and anyone else who might be returning to the world of algebra. First-time visitors should look at their online guide to the tutorials to learn how their tutorials are organized. After that, they should feel free to browse through any of the 59 tutorials offered here. Each tutorial contains information about learning objectives, full explanations, and numerous examples of how to correctly solve problems.Mon, 10 Dec 2007 03:00:01 -0600Frédéric Chyzak's Mgfun Project
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https://amser.org//index.php?P=FullRecord&ResourceId=5157Mgfun is a group of Maple packages intended for calculations with multivariate generating functions, in particular for their symbolic summation and integration, and for the proof of special function and combinatorial identities. These packages include Ore_algebra, Groebner, and Holonomy. The packages may be downloaded by FTP; the site also includes a FAQ, a list of related bugs, links to related publications and software, and example sessions.Mon, 3 Dec 2007 03:00:01 -0600The Stony Brook Algorithm Repository
https://amser.org//index.php?P=FullRecord&ResourceId=4199
https://amser.org//index.php?P=FullRecord&ResourceId=4199A computer science professor at the State University of New York maintains this online repository, which serves "as a comprehensive collection of algorithm implementations for over seventy of the most fundamental problems in combinatorial algorithms." The algorithms are implemented in a variety of programming languages, from C++ to FORTRAN. Seven general categories are listed to facilitate finding a particular implementation. The code for each algorithm was gathered from many different sources and is now housed in one spot on this site, making it easy for programmers to use pre-written code for common problems rather than having to write their own.Thu, 26 Jul 2007 03:00:02 -0500Combinatorial Structures
https://amser.org//index.php?P=FullRecord&ResourceId=4175
https://amser.org//index.php?P=FullRecord&ResourceId=4175This site is the online material for Colorado University-Denver's course Math 6406, Combinatorial Structures. The information found here should be helpful to both students and professors of combinatorics. Thorough lecture notes, with references, cover topics such as Latin squares, Hadamard matrices, finite fields and geometries, coding theory, and block design. The class handout "A Short Course in Combinatorial Designs" can be downloaded in .ps format. The links page points to some great resources for combinatorial designs, but the homework section is not particularly useful to Web surfers because it is directly related to the textbook.Thu, 19 Jul 2007 03:00:01 -0500