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4434Dimensions (geometry)
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.A First Course in Linear Algebra
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 LicenseA ProblemText in Advanced Calculus
http://www.merlot.org/merlot/viewMaterial.htm?id=314603
Advanced Calculus open textbook. Download LaTeX source or PDF. Creative Commons BY-NC-SA.Algebra: 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.Linear Algebra
http://www.merlot.org/merlot/viewMaterial.htm?id=302296
Linear Algebra is free for downloading, It covers the material of an undergraduate first linear algebra course.Vector Calculus
http://www.merlot.org/merlot/viewMaterial.htm?id=350952
Book description: This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.A Problem Course in Mathematical Logic
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.Advanced Algebra II: Activities and Homework
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.”Advanced Algebra II: Conceptual Explanations
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.Algebra
http://www.merlot.org/merlot/viewMaterial.htm?id=813968
This is a free textbook by Boundless that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.'The Boundless Algebra textbook is a college-level, introductory textbook that covers the important subject of Algebra -- one of the basic building blocks of studies in higher mathematics. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:The Building Blocks of Algebra -- Real Numbers, Exponents, Scientific Notation, Order of Operations, Working with Polynomials, Factoring, Rational Expressions, Radical Notation and Exponents, Basics of Equation SolvingGraphs, Functions, and Models -- Graphing, Functions: An Introduction, Modeling Equations of Lines, Functions Revisited, Algebra of Functions, TransformationsFunctions, Equations, and Inequalities -- Linear Equations and Functions, Complex Numbers, Quadratic Equations, Functions, and Applications, Graphs of Quadratic Functions, Further Equation Solving, Working with Linear InequalitiesPolynomial and Rational Functions -- Polynomial Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder and Factor Theorems, Zeroes of Polynomial Functions and Their Theorems, Rational Functions, Inequalities, Variation and Problem SolvingExponents and Logarithms -- Inverse Functions, Graphing Exponential Functions, Graphing Logarithmic Functions, Properties of Logarithmic Functions, Growth and Decay; Compound InterestSystems of Equations and Matrices -- Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices, Matrix Operations, Inverses of Matrices, Determinants and Cramer's Rule, Systems of Inequalities and Linear Programming, Partial FractionsConic Sections -- The Parabola, The Circle and the Ellipse, The Hyperbola, Nonlinear Systems of Equations and InequalitiesSequences, Series and Combinatorics -- Sequences and Series, Arithmetic Sequences and Series, Geometric Sequences and Series, Mathematical Inductions, Combinatorics, The Binomial Theorem, Probability'