http://www.merlot.org:80/merlot/ A search of MERLOT materials Copyright 1997-2013 MERLOT. All rights reserved. Tue, 21 May 2013 03:38:00 PDT Tue, 21 May 2013 03:38:00 PDT http://www.merlot.org:80/merlot/images/merlot.gif http://www.merlot.org:80/merlot/ 44 34 http://www.merlot.org/merlot/viewMaterial.htm?id=350912 This is a free, online textbook that provides information on dimensions, from longtitude and latitude to the proof of a theorem of geometry. There are 9 chapters, each 13 minutes long. The book contains a total of 117 minutes of video, but can also be read as an ordinary textbook.The film can be enjoyed by anyone, provided the chapters are well-chosen. There are 9 chapters, each 13 minutes long. Chapters 3-4, 5-6 and 7-8 are double chapters, but apart from that, they are more or less independent of each other. http://www.merlot.org/merlot/viewMaterial.htm?id=297792 A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form.PDF versions are available to download for printing or on-screen viewing, an online version is available, and physical copies may be purchased from the print-on-demand service at Lulu.com. GNU Free Documentation License 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. http://www.merlot.org/merlot/viewMaterial.htm?id=302304 A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is for the students, individually or in groups, to learn the material by solving the problems and proving the results for themselves. The book should do as the text for a course taught using the modified Moore-method.The material and its presentation are pretty stripped-down and it will probably be desirable for the instructor to supply further hints from time to time or to let the students consult other sources. Various concepts and and topics that are often covered in introductory mathematical logic or computability courses are given very short shrift or omitted entirely, among them normal forms, definability, and model theory. http://www.merlot.org/merlot/viewMaterial.htm?id=314603 Advanced Calculus open textbook. Download LaTeX source or PDF. Creative Commons BY-NC-SA. http://www.merlot.org/merlot/viewMaterial.htm?id=434004 This is a free online textbook designed for the Advanced Algebra instructor. According to the author, he "developed a set of in-class assignments, homework and lesson plans, that work for me and for other people who have tried them. The complete set comprises three separate books that work together:•The Homework and Activities Book contains in-class and homework assignments that are given to the students day-by-day.” “•The" target=״_blank״>http://www.merlot.org/merlot/viewMaterial.htm?id=434004“•The Concepts Book provides conceptual explanations, and is intended as a reference or review guide for students; it is not used when teaching the class.” •The" target=״_blank״>http://www.merlot.org/merlot/viewMaterial.htm?id=434001•The Teacher's Guide provides detailed lesson plans; it is your guide to how the author “envisioned these materials being used when I created them (and how I use them myself) " target=״_blank״>http://www.merlot.org/merlot/viewMaterial.htm?id=434006 Instructors should note that this book probably contains more information than you will be able to cover in a single school year.” http://www.merlot.org/merlot/viewMaterial.htm?id=434670 This is the Conceptual Explanations part of Kenny Felder's course in Advanced Algebra II. It is intended for students to read on their own to refresh or clarify what they learned in class. This text is designed for use with the "Advanced Algebra II: Homework and Activities" (http://cnx.org/content/col10686/latest/) and the "Advanced Algebra II: Teacher's Guide" (http://cnx.org/content/col10687/latest/) collections to make up the entire course. http://www.merlot.org/merlot/viewMaterial.htm?id=437046 " Algebra for College Students is designed to be used as an intermediate level text for students who have had some prior exposure to beginning algebra in either high school or college. This text explains the why's of algebra, rather than simply expecting students to imitate examples.״Please note that this site will try to sell supplements and you must create an account. However, there is no charge for the download of the textbook. As noted on the website, “Free access to the online book. Includes StudyBreak Ads (advertising placed in natural subject breaks).” http://www.merlot.org/merlot/viewMaterial.htm?id=434688 CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations. http://www.merlot.org/merlot/viewMaterial.htm?id=437407 This is a free, online textbook that is also part of an online course. According to the author, "Analysis is the study of limits. Anything in mathematics which has limits in it uses ideas of analysis. Some of the examples which will be important in this course are sequences, infinite series, derivatives of functions, and integrals. As you know from calculus, limits are the basis of understanding integration and differentiation, and, as you also know from calculus, these things are the basis of everything in the world you could ever need to know.״