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This is a free, online textbook offered in conjunction with MIT's OpenCourseWare. "Over the last 100 years, the mathematical...
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This is a free, online textbook offered in conjunction with MIT's OpenCourseWare. "Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems.״
Material Type:
Open Textbook
Author:
László Tisza
Date Added:
Mar 24, 2010
Date Modified:
Dec 08, 2013
Peer Review for material titled "Applied Geometric Algebra"
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This is a free, online textbook that is a wikibook. "This book will help you learn how to do mathematics using Algebra. It...
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This is a free, online textbook that is a wikibook. "This book will help you learn how to do mathematics using Algebra. It has chapters (parts of the book) with lessons (parts of the chapter about one idea). A lesson has five parts: 1.Vocabulary - gives special words you need for the lesson. 2.Lesson - gives a new idea and how to use this idea. 3.Example Problems - gives the steps to do problems using the new idea. 4.Practice Games - gives places for amusement where you do problems. 5.Practice Problems - You do problems.״
Material Type:
Open Textbook
Author:
Various
Date Added:
Jan 19, 2011
Date Modified:
Dec 08, 2013
Peer Review for material titled "Basic Algebra"
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This free and open online course in Calculus 1 was produced by the WA State Board for Community & Technical Colleges...
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This free and open online course in Calculus 1 was produced by the WA State Board for Community & Technical Colleges [http://sbctc.edu].Calculus is the mathematics of CHANGE and almost everything in our world is changing.Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful and beautiful and useful set of ideas and techniques You will see the fundamental ideas of this course over and over again in future courses in mathematics, the sciences (physical, biological and social) as well as in economics, engineering and others.But calculus is an intellectual step up from your previous mathematics courses. Many of the ideas are more carefully defined, and they have both a functional and a graphical meaning Some of the algorithms are more complicated, and in many cases you will need to decide on the appropriate algorithm to use. And there is a huge variety of applications, too many to be able to discuss each one in class in detail.This module is part of the Open Course Library, a collection of shareable course materials created for faculty to use in their classes. As part of the Open Course Library this content is licensed under the Creative Commons Attribution License which means that you are free to reuse the course in its entirety, edit it and use a your own modified version, or pick out only pieces which can be incorporated into your own course, as long as you credit the original author for their work.To access all materials for this course you may download either the ANGEL export file or the IMS Common Cartridge file. While the ANGEL file is specific to that system, the Common Cartridge file is compatible with many learning management systems. More information on Common Cartridge is available at http://www.imsglobal.org/cc/.
Material Type:
Online Course
Author:
Tom Caswell
Date Added:
Nov 28, 2011
Date Modified:
Aug 22, 2012
Peer Review for material titled "Calculus I"
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This free and open online course in Calculus II was produced by the WA State Board for Community & Technical Colleges...
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This free and open online course in Calculus II was produced by the WA State Board for Community & Technical Colleges [http://sbctc.edu/].Calculus is the mathematics of CHANGE and almost everything in our world is changing. Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful and beautiful and useful set of ideas and techniques.You will see the fundamental ideas of this course over and over again in future courses in mathematics, the sciences (physical, biological and social) as well as in economics, engineering and others. But calculus is an intellectual step up from your previous mathematics courses. Many of the ideas are more carefully defined, and they have both a functional and a graphical meaning Some of the algorithms are more complicated, and in many cases you will need to decide on the appropriate algorithm to use. And there is a huge variety of applications, too many to be able to discuss each one in class in detail.This module is part of the Open Course Library, a collection of shareable course materials created for faculty to use in their classes. As part of the Open Course Library this content is licensed under the Creative Commons Attribution License which means that you are free to reuse the course in its entirety, edit it and use a your own modified version, or pick out only pieces which can be incorporated into your own course, as long as you credit the original author for their work.To access all materials for this course you may download either the ANGEL export file or the IMS Common Cartridge file. While the ANGEL file is specific to that system, the Common Cartridge file is compatible with many learning management systems. More information on Common Cartridge is available at http://www.imsglobal.org/cc/ .
Material Type:
Online Course
Author:
Tom Caswell
Date Added:
Nov 28, 2011
Date Modified:
Aug 22, 2012
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This free and open online course in Calculus III was produced by the WA State Board for Community & Technical Colleges...
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This free and open online course in Calculus III was produced by the WA State Board for Community & Technical Colleges [http://sbctc.edu/].Calculus is the mathematics of CHANGE and almost everything in our world is changing. Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful and beautiful and useful set of ideas and techniques You will see the fundamental ideas of this course over and over again in future courses in mathematics, the sciences (physical, biological and social) as well as in economics, engineering and others. But calculus is an intellectual step up from your previous mathematics courses. Many of the ideas are more carefully defined, and they have both a functional and a graphical meaning Some of the algorithms are more complicated, and in many cases you will need to decide on the appropriate algorithm to use. And there is a huge variety of applications, too many to be able to discuss each one in class in detail.This module is part of the Open Course Library, a collection of shareable course materials created for faculty to use in their classes. As part of the Open Course Library this content is licensed under the Creative Commons Attribution License which means that you are free to reuse the course in its entirety, edit it and use a your own modified version, or pick out only pieces which can be incorporated into your own course, as long as you credit the original author for their work.To access all materials for this course you may download either the ANGEL export file or the IMS Common Cartridge file. While the ANGEL file is specific to that system, the Common Cartridge file is compatible with many learning management systems. More information on Common Cartridge is available at http://www.imsglobal.org/cc/ .
Material Type:
Online Course
Author:
Tom Caswell
Date Added:
Nov 28, 2011
Date Modified:
Aug 22, 2012
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Included at this site are a variety of case studies that demonstrate the use of statistics. One can search the type of...
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Included at this site are a variety of case studies that demonstrate the use of statistics. One can search the type of statistic (ANOVA, t-test, regression) and find actual cases that used that particular concept. For each of the cases, background information is provided as well as a description of the experimental design, descriptive statistics, and inferential statistics. In some cases raw data is provided as well as graphs.
Material Type:
Case Study
Author:
David Lane
Date Added:
Sep 06, 2001
Date Modified:
Aug 06, 2013
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This online course comes from the Open Learning Initiative (OLI) by Carnegie Mellon. “The course includes self-guiding...
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This online course comes from the Open Learning Initiative (OLI) by Carnegie Mellon. “The course includes self-guiding materials and activities, and is ideal for independent learners, or instructors trying out this course package.”״Does excessive exposure to violent video games cause violent behavior? Does increased gun availability cause more crime or less? This course examines the nature of causal claims and the statistical sorts of evidence used to support them." 'Our material is delivered in three forms - Concept modules, Case studies, and the Causality Lab. The Case Studies are a collection of over one hundred short news pieces (1-3 pages) - that each deal with some study concerned with a causal claim. They are listed in the Syllabus as part of the Appendix - and they can viewed alphabetically or in hierarchy by topical area (e.g. Health, Social Sciences, etc.). You will read several of them as part of the concept modules, but they are interesting in their own right and we urge you to explore them and find your own over the web. If you find a particularly interesting study we have not included, please send us the URL by email <oli-help@lists.andrew.cmu.edu>, and we will try to incorporate the study into the repository.The Causality Lab is a virtual environment to simulate the science of causal discovery. The lab contains a "true" causal model behind the scenes that was created by the instructor (or another student), and your job is to set-up experiments, collect data, create hypotheses, and compare the predicitons from your hypotheses against the data to find the truth. Causality Lab exercises are included as a regular part of the course, but they are also available as a series of stand alone lessons accessible from the Syllabus in Unit 7: Causality Lab Lessons.The "Concept modules" are meant to present the basic concepts and terminology behind Causal and Statistical Reasoning. Each is meant to cover about the same amount of material delivered in a textbook chapter. Each includes text, pictures, movies, simulations, questions for you to answer, and a quiz at the end of the module that you might be assigned to take for credit. They take anywhere between one to five hours to complete. We have grouped the modules into five topical areas: •Area 1: Causal Theories •Area 2: Statistical Evidence: Association and Independence •Area 3: Causal Theories --> Statistical Evidence •Area 4: Statistical Evidence -->Causal Theories: Problems •Area 5: Statistical Evidence -->Causal Theories: Strategies'
Material Type:
Online Course
Author:
Open Learning Initiative
Date Added:
Feb 04, 2011
Date Modified:
Oct 31, 2011
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This is a free, onlne textbook. According to the authors, "We are two college mathematics professors who grew weary of...
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This is a free, onlne textbook. According to the authors, "We are two college mathematics professors who grew weary of forcing our students to purchase expensive college algebra textbooks whose mathematical content has slowly degraded over the years. Our solution? Write our own. The twist? We made our college algebra book free and we distribute it as a .pdf file under the Creative Commons License. What’s more, the LaTeX source code is also available under the same license.״
Material Type:
Open Textbook
Author:
Jeff Zeager, Carl Stitz
Date Added:
Apr 26, 2010
Date Modified:
Nov 20, 2013
Peer Review for material titled "College Algebra"
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״Here are my online notes for my Algebra course that I teach here at Lamar University, although I have to admit that it’s...
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״Here are my online notes for my Algebra course that I teach here at Lamar University, although I have to admit that it’s been years since I last taught this course. At this point in my career I mostly teach Calculus and Differential Equations.Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Algebra or needing a refresher for algebra. I’ve tried to make the notes as self contained as possible and do not reference any book. However, they do assume that you’ve has some exposure to the basics of algebra at some point prior to this. While there is some review of exponents, factoring and graphing it is assumed that not a lot of review will be needed to remind you how these topics work.״
Material Type:
Open Textbook
Author:
Paul Dawkins
Date Added:
Jun 10, 2011
Date Modified:
Dec 08, 2013
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