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4434Connect the Dots
http://www.merlot.org/merlot/viewMaterial.htm?id=80506
This site provides a visual approach to exploring finite cyclic groups.COW -- Calculus on the Web
http://www.merlot.org/merlot/viewMaterial.htm?id=83836
This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are entered.Group Games
http://www.merlot.org/merlot/viewMaterial.htm?id=89000
An excellent group theoretic approach to the popular Rubik's cube game.Math Warehouse
http://www.merlot.org/merlot/viewMaterial.htm?id=401116
This site has has interactive explanations and simulations of math from alegrbra to trigonometry. Just click the "interactive" tab on the top left menu and you can choose different simulations. It includes, the complete definition of parabolas, reaching beyond the ability to graph into the realm of why the graph appears as it does. It also has vivid descriptions of angles including circle angles for geometry. It also has calculators for principal nth roots, gdc, matrices, and prime factorization. It's definitely worth checking out. Quote from site: "A parabola is actually a locus of a point and a line. The point is called the focus and the line the directrix. That means that all points on a parabola are equidistant from the focus and the directrix. To change the equation and the graph of the interactive parabola below just click and drag either the point A, which is the focus, or point B, which controls the directrix." This is an interactive site that allows people to change the graph to understand why directrix and focus dictate parabolic graphs. Groups15
http://www.merlot.org/merlot/viewMaterial.htm?id=223379
This site contains a Java applet that provides information about groups of order 1-15. The user selects an order of a group between 1 and 15 and then a model group is generated using letters as elements. Using buttons of the applet one can illustrate different algebraic properties of this group.PascGalois Project
http://www.merlot.org/merlot/viewMaterial.htm?id=370141
This site hosts software that allows for the visualizatoin of finite groups using Pascal's Triangle. The software is supported by dozens of labs that introduce the students to the relationship between groups and Pascal's Triangle, and assist them in a visual exploration of groups, subgroups, cosets, and other aspects of groups.Pascal's Triangle and Its Relatives
http://www.merlot.org/merlot/viewMaterial.htm?id=359098
The site is dedicated to the Pascal Triangle and its connections to different areas of mathematics. It also contains a set of exercises that is designed to illuminate these connections.Cayley tables for the ring Zn
http://www.merlot.org/merlot/viewMaterial.htm?id=80504
No description givenAlgebra: Abstract and Concrete
http://www.merlot.org/merlot/viewMaterial.htm?id=313490
The book provides a thorough introduction to "modern'' or "abstract'' algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme.Elements of Abstract and Linear Algebra
http://www.merlot.org/merlot/viewMaterial.htm?id=89025
A foundational textbook on abstract algebra with emphasis on linear algebra.