MERLOT Materials
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MERLOT MaterialsCopyright (C) 2018 MERLOT Some Rights ReservedMon, 28 Sep 2015 10:46:16 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.png
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-1-1Cut-the-Knot!
https://www.merlot.org/merlot/viewMaterial.htm?id=78198
<p>This site is the parent site of an extensive collection of interactive mathematics authored by Alexander Bogomolny and includes an interactive monthly column . The content is accessible to the casual reader but offers much depth along with links to other high-quality resources. Altogether, this site is a mathematician's delight.</p>Tue, 26 Nov 2002 08:00:00 GMTAlexander Bogomolny Cut-the-knot.comGraph Theory Lessons
https://www.merlot.org/merlot/viewMaterial.htm?id=84776
<p>The applets contain topics typically found in undergraduate graph theory and discrete structures classes like null graphs, the handshaking lemma, isomorphism, complete graphs, subgraphs, regular graphs, platonic graphs, adjacency matrices, graph coloring, bipartite graphs, simple circuits, Euler and Hamilton circuits, trees, unions and sums of graphs, complements of graphs, line graphs, spanning trees, plane graphs, shortest paths, minimal spanning trees. The applet utilizes Petersen software written by the author. Peterson can draw, edit and manipulate simple graphs, examine properties of the graphs, and demonstrate them using computer animation.</p>Sat, 24 Sep 2005 07:00:00 GMTDr. Christopher P. Mawata University of Tennessee at ChattanoogaThe Math Forum - Internet Mathematics Library
https://www.merlot.org/merlot/viewMaterial.htm?id=89910
<p>A huge list of resources in various topics of mathematics and math education.</p>Tue, 08 Aug 2000 07:00:00 GMTThe Math Forum Swarthmore CollegeKhan Academy
https://www.merlot.org/merlot/viewMaterial.htm?id=371570
<p>Thousands of FREE, short, online videos that are focused on explaining and modeling the learning of specific topics in math (basic arithmetic and math to calculus), statistics, biology, physics, chemistry, finance, and other topics. The topics cover K-12 levels and higher education. The simple and clear presented information enables learners to see and review the topics and how to solve the problems at their pace with as much practice as they wish. In particular there are over a thousand videos just for mathematics. The site also contains a handful of interactive mathematics learning objects that are of the drill and practice type.</p>Sat, 07 Mar 2009 01:48:47 GMTSalman Khan; Salman Khan The Khan AcademyBase 2 binary multiplication - basic
https://www.merlot.org/merlot/viewMaterial.htm?id=731266
<p>Multiplies two small numbers (bytes) in binary form by simulating the physical repetition of the multiplicand, driven by the place-value digits of the multiplier.</p>Mon, 11 Feb 2013 00:42:37 GMTFelipe Razo CSU East BayDiscrete Math Resources
https://www.merlot.org/merlot/viewMaterial.htm?id=363275
<p>This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games by Doug Ensley and Winston Crawley. Requires Adobe Flash player.</p>Wed, 28 Jan 2009 03:07:46 GMTDoug Ensley Shippensburg UniversityDiscrete Mathematics Project
https://www.merlot.org/merlot/viewMaterial.htm?id=83683
demonstrates real-world applications of math to all those students who say, "How will I ever use this?" You don't get much more real world than solving the problems of dividing estates fairly, apportioning legislative seats, or cutting a cake in even pieces. Each activity includes printable worksheet materials as you incorporate this standards-based subject--discrete mathematics--in your math classes (grade 9 and up).Thu, 21 Apr 2005 07:00:00 GMTDominic D. Peressini University of Colorado at BoulderFinite Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=222757
<p class="MsoNormal" style="MARGIN: 0in 0in 0pt"><font face="Times New Roman" size="3">This extensive site is primarily intended as an online supplement to the text Finite </font></p>
<p class="MsoNormal" style="MARGIN: 0in 0in 0pt"><font face="Times New Roman" size="3">Mathematics by Stefan Waner and Steven R. Costenoble. However, as the authors explain on </font><font face="Times New Roman" size="3">their home page, this material is pertinent and freely available to anyone studying in this </font><font face="Times New Roman" size="3">subject area. Of particular interest will be the online tutorials, interactive quizzes and </font><font face="Times New Roman" size="3">exercises, and various Java, Javascript, and Excel spreadsheet utilities. The following </font><font face="Times New Roman" size="3">chapter headings indicate the topics covered: Linear Functions and Models, Systems of </font><font face="Times New Roman" size="3">Linear Equations and Matrices, Matrix Algebra, Linear Programming, Mathematics of Finance, </font><font face="Times New Roman" size="3">Sets and Counting, Probability, Statistics, Markov Systems, Game Theory. There is also a </font><font face="Times New Roman" size="3">review of Algebra. </font></p>Mon, 16 Oct 2006 15:56:28 GMTSteven R. Costenoble; Stefan Waner Hofstra University; Hofstra UniversityGraph Theory Tutorials
https://www.merlot.org/merlot/viewMaterial.htm?id=86754
This is a series of short interactive tutorials introducing the basic concepts of graph theory. There is not a great deal of theory here, but enough will be taught to wet your appetite for more!Fri, 02 Jun 2006 07:00:00 GMTChris K. Caldwell University of Tennessee at MartinInteger Optimization and the Network Models
https://www.merlot.org/merlot/viewMaterial.htm?id=80563
It covers integer and network optimization with numerical examples and applicationsSun, 15 Feb 2004 08:00:00 GMTBarbra Bied Sperling CSU, Office of the ChancellorThe Complete Online Finite Mathematics Course -MA114
https://www.merlot.org/merlot/viewMaterial.htm?id=76173
The goal of MA114 is to demonstrate some of the applications<br/>of non-calculs mathematical techniques to real-world<br/>problems. The main components of the course include<br/>QuickTime movies available via the Web, Web-based<br/>assignments (WebAssignments), and a Textbook<br/>(Topics in Finite Mathematics) by Page and Paur.Mon, 14 Jan 2002 08:00:00 GMTLavon Page Mathematics Dept/ North Carolina State UniversityThe Prisoner's Dilemma
https://www.merlot.org/merlot/viewMaterial.htm?id=80719
Provides an interactive version of the Prisoner's Dilemma, which was developed in game theory and which illustrates the role and importance of trust and cooperation in social structures. Also includes a good exposition ("Dilemma in Detail") of the ideas behind prisoner's dilemma, development of the game, links to political philosophy, and some of its practical applications (economic exchanges, public goods, nuclear disarmament).Fri, 19 Mar 2004 08:00:00 GMTSean Crawford, Department of Philosophy, The Open University (author of Dilemma in Detail) Rights Manager, The Open University, Walton Hall, Milton Keynes, MK7 6AATower of Hanoi
https://www.merlot.org/merlot/viewMaterial.htm?id=80100
<p>No description given</p>Sun, 12 Oct 2003 07:00:00 GMTMaze WorksPopulation Changes in a Trout Pond
https://www.merlot.org/merlot/viewMaterial.htm?id=81279
This site is part of the NCTM's Student i-Math Investigations website. It uses algebra and discrete mathematics to analyze population changes in a trout pond. Included are applets for numerical and graphical analysis.Fri, 23 Jul 2004 07:00:00 GMTNCTM NCTMLP Explorer
https://www.merlot.org/merlot/viewMaterial.htm?id=74804
<p>LP Explorer is a Java applet which enables the simplex method to be applied to a linear programming (LP) problem and the sensitivity of the solution to changes in the problem data to be examined.</p>Mon, 26 Jan 1998 08:00:00 GMTMelanie BairdOpen SUNY Textbooks Initiative
https://www.merlot.org/merlot/viewMaterial.htm?id=1067658
<p>Open SUNY Textbooks Initiative (2012) is an open access textbook initiative by the State University of New York (SUNY) libraries and supported by SUNY Innovative Instruction Technology Grants for developing and publishing at least thirty high-quality, cost-effective, college level open textbooks by various faculty authors. Ten open textbooks (Phase 1) are currently availabe for global use by educators and students, with an additional 16 open textbooks (Phase 2) coming soon. </p>Mon, 28 Sep 2015 10:46:16 GMTKate Pitcher (Editor); Allison Brown (Editor/PM); et al. SUNY/SUNY Libraries/SUNY Press and Affiliated Members14.11 Insights from Game Theory into Social Behavior (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884275
We will apply insights from game theory to explain human social behavior, focusing on novel applications which have heretofore been the realm of psychologists and philosophers—for example, why people speak indirectly, in what sense beauty is socially constructed, and where our moral intuitions come from—and eschewing traditional economic applications such as industrial organization or auctions. We will employ standard games such as the prisoners dilemma, coordination, hawk-dove, and costly signaling, and use standard game theory tools such as Nash Equilibria, Subgame Perfection, and Perfect Bayesian Equilibria. These tools will be taught from scratch and no existing knowledge of game theory, economics, or mathematics is required. At the same time, students familiar with these games and tools will not find the course redundant because of the focus on non-orthodox applications.Thu, 07 Aug 2014 00:08:42 GMTMoshe Hoffman; Erez Yoeli14.12 Economic Applications of Game Theory (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884411
Game Theory, also known as Multiperson Decision Theory, is the analysis of situations in which the payoff of a decision maker depends not only on his own actions but also on those of others. Game Theory has applications in several fiā¦elds, such as economics, politics, law, biology, and computer science. In this course, I will introduce the basic tools of game theoretic analysis. In the process, I will outline some of the many applications of Game Theory, primarily in economics.Thu, 07 Aug 2014 00:11:38 GMTProf. Muhamet Yildiz6.254 Game Theory with Engineering Applications (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884346
This course is an introduction to the fundamentals of game theory and mechanism design. Motivations are drawn from engineered/networked systems (including distributed control of wireline and wireless communication networks, incentive-compatible/dynamic resource allocation, multi-agent systems, pricing and investment decisions in the Internet), and social models (including social and economic networks). The course emphasizes theoretical foundations, mathematical tools, modeling, and equilibrium notions in different environments.Thu, 07 Aug 2014 00:10:22 GMTProf. Asu OzdaglarAn Introduction to Percolation and Many-body Physics by Computer
https://www.merlot.org/merlot/viewMaterial.htm?id=78420
<p>A nice textual introduction to percolation theory, along with an applet that allows students to investigate the concepts involved experimentally.</p>Mon, 06 Jan 2003 08:00:00 GMTEric S. Swanson University of PittsburghArtificial-variable Free LP Solution Algorithms
https://www.merlot.org/merlot/viewMaterial.htm?id=80565
The web site contains notes and numerical examples for three distinct solution algorithms for general linear programs without using artificial variable, constraint, or auxiliary objective function.Mon, 16 Feb 2004 08:00:00 GMTBarbra Bied Sperling CSU, Office of the ChancellorComputer-assisted Learning Concepts & Techniques
https://www.merlot.org/merlot/viewMaterial.htm?id=80571
Computer assisted learning is a collection of experimentation and simulation using computer software packages such as WinQSB, to understand the concepts and techniques of OR/MS.Mon, 16 Feb 2004 08:00:00 GMTBarbra Bied Sperling CSU, Office of the ChancellorConstruction of the Sensitivity Region for LP Models
https://www.merlot.org/merlot/viewMaterial.htm?id=80575
A general methodology for construction of the sensitivity-region is given. It allows us to analyze any type of changes including dependent, independent, and multiple changes.Mon, 16 Feb 2004 08:00:00 GMTBarbra Bied Sperling CSU, Office of the ChancellorDiamond Theory
https://www.merlot.org/merlot/viewMaterial.htm?id=76660
Symmetry properties of the 4x4 array. The invariance of symmetry displayed in the author's Diamond 16 Puzzle (online) suggests insights into finite geometry, group theory, and combinatorics.Wed, 17 Apr 2002 07:00:00 GMTSteven Cullinane