Linear Algebra
subject: Algebra
description: We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.
creator: David Cherney, Tom Denton, Andrew Waldon
source: https://www.math.ucdavis.edu/~linear/linear-guest.pdf
publisher: Independent
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

A Computational Introduction to Number Theory and Algebra
subject: Computational
subject: Number Theory
subject: Algebra
description: All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well. The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces). It also includes an introduction to discrete probability theory—this material is needed to properly treat the topics of probabilistic algorithms and cryptographic applications. The treatment of all these topics is more or less standard, except that the text only deals with commutative structures (i.e., abelian groups and commutative rings with unity) — this is all that is really needed for the purposes of this text, and the theory of these structures is much simpler and more transparent than that of more general, non-commutative structures. There are a few sections that are marked with a “(∗),” indicating that the material covered in that section is a bit technical, and is not needed else- where. There are many examples in the text, which form an integral part of the book, and should not be skipped. There are a number of exercises in the text that serve to reinforce, as well as to develop important applications and generali…
creator: Victor Shoup
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A First Course in Linear Algebra
subject: Algebra
subject: Linear Algebra
subject: Mathematics
description: In this book, there are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at “Answers to Odd-Numbered Exercises” section at the end of this book. This book is very useful for college students who studied Calculus I, and other students who want to review some linear algebra concepts before studying a second course in linear algebra. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.
creator: Mohammed Kaabar
source: http://www.oercommons.org/courses/a-first-course-in-linear-algebra-study-guide-for-the-undergraduate-linear-algebra-course/view
publisher: CreateSpace, Charleston, SC
contributor: Taufiq A Gabi
rights: Creative Commons

A First Course in LINEAR ALGEBRA an Open Text
subject: LINEAR ALGEBRA
description: A First Course in Linear Algebra presents an introduction to the fascinating subject of linear algebra for students who have a reasonable understanding of basic algebra. Major topics of linear algebra are presented in detail, with proofs of important theorems provided. Separate sections may be included in which proofs are examined in further depth and in general these can be excluded without loss of contrinuity. Where possible, applications of key concepts are explored. In an effort to assist those students who are interested in continuing on in linear algebra connections to additional topics covered in advanced courses are introduced. Each chapter begins with a list of desired outcomes which a student should be able to achieve upon completing the chapter. Throughout the text, examples and diagrams are given to reinforce ideas and provide guidance on how to approach various problems. Students are encouraged to work through the suggested exercises provided at the end of each section. Selected solutions to these exercises are given at the end of the text.
creator: Ken Kuttler
source: https://lyryx.com/products/mathematics/first-course-linear-algebra/
publisher: Lyryx
date: 2017
contributor: Baihaqi
rights: creative Commons
format: PDF
language: English
type: Textbook

A Foundation In Applied Mathematics
subject: Mathematics
description: This module develops concepts and techniques for studying functions. You will learn about one of the foundations of applied mathematics, i.e. the algebraic and graphic methods for studying functions. You'll be introduced to clear define and recognize functions, see how they constitute a special type of relation, and then move on to consider the simple, useful class of functions called linear functions. Along the way you'll have plenty of chances to practise what you're learning in examples and exercises.
creator: The Open University of Hong Kong
publisher: The Open University of Hong Kong
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Foundation In Pure Mathematics
subject: Pure Mathematics
description: Everyone in Hong Kong has heard of the Mark Six! Players select six different numbers from 49 possibilities in the hope of winning a small fortune - or possibly even a large one. So how many different choices of six numbers out of 49 are there? If you just sat down to count out all the possible combination, it would take you a very long time indeed. But in mathematics we have other counting tools that can assist us in this counting task. Learning to use these tools is the basis for learning about counting and probability. The first section in this module introduces basic counting principles, and helps you work through some simple counting problems. You will learn how the Addition and Multiplication Principles can be applied to determine the number of possible combinations. You will then look at two important counting tools, namely permutations and combinations, and compare the different counting principle between them. The second section in this module introduces you to probability as a measure of chance. It gives you a numerical means of comparing different degrees of chance. You learn by looking at common games of chance: tossing a coin, selecting a playing card, or throwing dice.
creator: The Open University of Hong Kong
publisher: The Open University of Hong Kong
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Friendly Introduction to Differential Equations
subject: Differential equations
subject: Mathematics
description: n this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at "Answers to Odd-Numbered Exercises" section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.
creator: Mohammed Kaabar

A Primer of Real Analysis
subject: Real Analysis
subject: Mathematics
description: This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.
creator: Dan Sloughter
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Spiral Workbook for Discrete Mathematics
subject: Discrete
subject: Mathematics
description: This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students’ problem-solving and writing skills.
creator: Harris Kwong
publisher: Open SUNY Textbooks
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Story of Real Analysis
subject: Real Analysis
subject: Mathematics
description: The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis. This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context. This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.
creator: Robert Rogers
creator: Eugene Boman
publisher: Open SUNY Textbooks
contributor: Cut Rita Zahra
rights: Creative Commons
type: Textbooks

Abstract Algebra
subject: Algebra
subject: Mathematics
description: This text is intended for a one or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.
creator: Thomas W. Judson
creator: Robert A. Beezer
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

ACTIVE CALCULUS
subject: CALCULUS
description: In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true. This approach is consistent with the growing body of scholarship that calls for students to be interactively engaged in class.
creator: Matthew Boelkins, David Austin, Steven Schlicker
source: http://www.oercommons.org
publisher: Department of Mathematics Grand Valley State University
date: 2016
contributor: Baihaqi
rights: Creative
format: PDF
language: English
type: Textbook

Active Calculus 1.0
subject: Active Calculus
subject: Calculus
subject: Mathematics
description: Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: Matthew Boelkins
creator: David Austin
creator: Steven Schlicker
source: https://scholarworks.gvsu.edu/books/10/
publisher: Grand Valley State University Libraries
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Active Calculus 2.0
subject: Active Calculus
subject: Calculus
subject: Mathematics
description: Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding. For more information, see the author's website and blog. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: Matthew Boelkins
creator: David Austin
creator: Steven Schlicker
source: https://scholarworks.gvsu.edu/books/15/
publisher: Grand Valley State University Libraries
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Active Calculus Multivariable
subject: Calculus
subject: Mathematics
description: In Active Calculus - Multivariable, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true.
creator: Steven Schlicker
creator: David Austin
creator: Matthew Boelkins
contributor: Cut Rita Zahara
rights: Cretaive Commons
type: Textbooks

Adult Literacy Fundamentals Mathematics: Book 1
subject: Mathematics
description: This is book one in a six-book series on fundamental mathematics for adult learners. These books include glossaries, self tests, practice requests, grades records, and unit tests. Ancillary Resources include the Instructor's Manual.
creator: Wendy Tagami, Liz Girard
source: http://solr.bccampus.ca:8001/bcc/file/1eade072-4b30-4c2e-b3d8-cb2512765e8d/1/ALF%20Math%20Book%201%20PDF.pdf
publisher: Province of British Columbia Ministry of Advanced Education and Labour Market Development
date: 2010
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Advanced Algebra II: Conceptual Explanations
subject: Algebra
description: This module contains a table of every module within the three books of Kenny Felder's course on "Algebra II", with links to the modules.
creator: Kenny M. Felder
publisher: Connexions
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Algebra and Mathematics. Explained with easy to understand 3D animations.
subject: Algebra
description: Explains variables, systems of equations, Cartesian coordinates, and many other concepts. Fun and educational for all ages.
creator: Eugene Khutoryansky
source: http://youtu.be/MJYsXGbxueY
publisher: YouTube.com
date: 2014-01-21
contributor: Baihaqi
rights: Creative Commons License
format: Video
language: English
type: Toturials

Algebra and Trigonometry
subject: Algebra
subject: Trigonometry
subject: Mathematics
description: lgebraic principles. The text is suitable for a typical introductory Algebra & Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs. Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they’ve learned.
creator: Multiple Authors
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

An Introduction to Matlab and Mathcad
subject: Matlab
description: This textbook, or really a “coursebook” for a college freshman-level class, has been updated for Spring 2014 and provides an introduction to programming and problem solving using both Matlab and Mathcad. We provide a balanced selection of introductory exercises and real-world problems (i.e. no “contrived” problems). We include many examples and screenshots to guide the reader. We assume no prior knowledge of Matlab or Mathcad.
creator: Troy Siemers, Ph.D.
source: https://drive.google.com/file/d/1YSCqSkxHw6NcVOG55n4fgIfiQXUpzEx_/view
publisher: APEX Calculus
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

An Introductory Course in Elementary Number Theory
subject: Elementary Number Theory
description: Integers are the building blocks of the theory of numbers. This chapter contains somewhat very simple and obvious observations starting with properties of integers and yet the proofs behind those observations are not as simple. In this chapter we introduce basic operations on integers and some algebraic definitions that will be necessary to understand basic concepts in this book. We then introduce the Well ordering principle which states basically that every set of positive integers has a smallest element. Proof by induction is also presented as an efficient method for proving several theorems throughout the book.
creator: Wissam Raji
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2013/05/An-Introductory-in-Elementary-Number-Theory.pdf
date: -
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Analysis of Variance (ANOVA)
description: A description of the concepts behind Analysis of Variance. Also, see this site: http://www.psych.utah.edu/stat/introstats/anovaflash.html for a "hands-on" experience.
source: http://youtu.be/ITf4vHhyGpc
publisher: J David Eisenberg published via YouTube.com
date: 2011-07-29T17:48:42.000Z
rights: Creative Commons License

APEX Pre Calculus
subject: Calculus
description: This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is de-signed to review mathematical concepts that are o[en stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each secࢢon and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Insࢢtute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text.
creator: Amy Chapman, Meagan Herald, Jessica Libertini
source: https://drive.google.com/file/d/12b2cwH7afXhsYSDb-QCWKmFK2QCq7UfY/view
publisher: APEX Calculus
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Applied Calculus
subject: Calculus
description: Calculus was first developed more than three hundred years ago by Sir Isaac Newton and Gottfried Leibniz to help them describe and understand the rules overning the motion of planets and moons. Since then, thousands of other men and women have refined the basic ideas of calculus, developed new techniques to make the calculations easier, and found ways to apply calculus to problems besides planetary motion. Perhaps most importantly, they have used calculus to help understand a wide variety of physical, biological, economic and social phenomena and to describe and solve problems in those areas. Part of the beauty of calculus is that it is based on a few very simple ideas
creator: Shana Calaway, Dale Hoffman, David Lippman
source: http://www.opentextbookstore.com/appcalc/appcalc.pdf
publisher: http://www.opentextbookstore.com
date: 2014
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Applied Calculus
subject: Calculus
description: An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus. This book is heavily remixed from Dale Hoffman's Contemporary Calculus textbook, and retains the same conceptual focus from that text. License: Creative Commons Attribution. This license is considered to be some to be the most open license since it is the least restrictive. It allows reuse, remixing, and distribution (including commercial), only requiring attribution. The content can be remixed into content of other license, but on the other hand it allows the remix to be put under a more restrictive license.
creator: Shana Calaway
creator: Dale Hoffman
creator: David Lippman
publisher: Open TextBook Store
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Combinatorics
subject: Combinatorics
subject: Mathematics
description: As we hope you will sense right from the beginning, we believe that combinatorial mathematics is one of the most fascinating and captivating subjects on the planet. Combinatorics is very concrete and has a wide range of applications, but it also has an intellectually appealing theoretical side. Our goal is to give you a taste of both. In order to begin, we want to develop, through a series of examples, a feeling for what types of problems combinatorics addresses.
creator: Mitchel T. Keller
creator: William T. Trotter
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Discrete Structures
subject: Discrete Structures
subject: Mathematics
description: Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http://www.aimath.org/textbooks/. This version was created using Mathbook Xml (https://mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at Umass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at Umass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
creator: Alan Doerr
creator: Kenneth Levasseur
publisher: University of Massachusetts Lowell
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Finite Mathematics
subject: Mathematics
description: Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Probability
subject: Probability
description: This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired. In addition to an introduction to the essential features of basic probability in terms of a precise mathematical model, the work describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability. This should make the work useful as a stand-alone exposition as well as a supplement to any of several current textbooks. Most of the programs developed here were written in earlier versions of MATLAB, but have been revised slightly to make them quite compatible with MATLAB 7. In a few cases, alternate implementations are available in the Statistics Toolbox, but are implemented here directly from the basic MATLAB program, so that students need only that program (and the symbolic mathematics toolbox, if they desire its aid in evaluating integrals). Since machine methods require precise formulation of problems in appropriate mathematical form, it is necessary to provide some supplementary analytical material, principally the so-called minterm analysis. This material is not only important for computational purposes, but is also useful in displaying some of the structure of the relationships among events.
creator: Paul Pfeiffer
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Arithmetic for College Students
subject: Arithmetic
subject: Mathematics
description: This book is a course on arithmetic designed for college students. It covers whole numbers, fractions, decimals, percents, ratios and proportions, measurement, and integers. Geometry and statistics are integrated throughout the text rather than covered in independent sections. The textbook does not include exercises. Instead, a collection of handouts/worksheets is available, as well as online homework. License: Creative Commons Attribution. This license is considered to be some to be the most open license since it is the least restrictive. It allows reuse, remixing, and distribution (including commercial), only requiring attribution. The content can be remixed into content of other license, but on the other hand it allows the remix to be put under a more restrictive license.
creator: MITE
creator: David Lippman
source: http://www.opentextbookstore.com/details.php
publisher: Scottsdale Community College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Armstrong Calculus
subject: Calculus
subject: Mathematics
description: The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen of the Virginia Military Institute and Mount Saint Mary's University. Both of these texts can be found at http://aimath.org/textbooks/approved-textbooks/. The authors of this text have combined sections, examples, and exercises from the above two texts along with some of their own content to generate this text. The impetus for the creation of this text was to adopt an open-source textbook for Calculus while maintaining the typical schedule and content of the calculus sequence at our home institution.
creator: Michael Tiemeyer
creator: Jared Schlieper
publisher: University System of Georgia
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Basic Analysis: Introduction to Real Analysis
subject: Real Analysis
subject: Mathematics
description: A first course in mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces.
creator: Jiří Lebl
source: http://www.jirka.org/ra/realanal.pdf
publisher: Pearson Education
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Basic Arithmetic Student Workbook
subject: Basic Arithmetic
subject: Arithmetic
subject: Mathematics
description: This workbook was created through the efforts of three instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path to understanding numbers and arithmetic. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: Donna Gaudet
creator: Amy Volpe
creator: Jenifer Bohart
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbook

Basic Arithmetic Workbook
subject: Arithmetic
description: This workbook was created through the efforts of three instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path to understanding numbers and arithmetic.
creator: Donna Gaudet, Amy Volpe ,Jenifer Bohart
source: https://sccmath.files.wordpress.com/2013/04/082_final_wkbook__2nded.pdf
publisher: Scottsdale Community College
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Beginning and Intermediate Algebra
subject: Intermediate Algebra
subject: Algebra
subject: Mathematics
description: Beginning and Intermediate Algebra was designed to reduce textbook costs to students while not reducing the quality of materials. This text includes many detailed examples for each section along with several problems for students to practice and master concepts. Complete answers are included for students to check work and receive immediate feedback on their progress. Topics covered include: pre-algebra review, solving linear equations, graphing linear equations, inequalities, systems of linear equations, polynomials, factoring, rational expressions and equations, radicals, quadratics, and functions including exponential, logarithmic and trigonometric. License: Creative Commons Attribution. This license is considered to be some to be the most open license since it is the least restrictive. It allows reuse, remixing, and distribution (including commercial), only requiring attribution. The content can be remixed into content of other license, but on the other hand it allows the remix to be put under a more restrictive license.
creator: Tyler Wallace
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Brief Calculus
subject: Calculus
creator: Benjamin Crowell
publisher: Open Textbooks
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus
subject: Calculus
subject: Mathematics
description: This text comprises a three–volume series on Calculus. The ﬁrst part covers material taught in many “Calc ” courses: limits, derivaves, and the basics of integraon, found in Chapters through . The second text covers material oen taught in “Calc :” integraon and its applicaons, along with an introducon to sequences, series and Taylor Polynomials, found in Chapters through . The third text covers topics common in “Calc ” or “mulvariable calc:” parametric equaons, polar coordinates, vector–valued funcons, and funcons of more than one variable, found in Chapters through.
creator: Gregory Hartman, Ph.D.
creator: Troy Siemers, Ph.D.
creator: Brian Heinold, Ph.D.
creator: Dimplekumar Chalishajar, Ph.D.
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus
subject: Calculus
description: Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the second edition is a chapter on the 'Highlights of Calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare.
creator: GILBERT STRANG
source: https://ocw.mit.edu
publisher: Wellesley-Cambridge
date: 2010
contributor: Baihaqi
rights: -
format: PDF
language: Englis
type: Textbook

Calculus - Derivative of an Inverse Function
description: Calculus lecture explaining the derivative of an inverse function. Gives a graphical explanation of how the derivative of an inverse function is related to the reciprocal of the derivative of the original function. Uses the example y = x^2 + 1 to illustrate the process and check the result algebraically.
source: http://youtu.be/OJ7Li1b570o
publisher: Bill Baker published via YouTube.com
date: 2014-04-12T16:22:24.000Z
rights: Creative Commons License

Calculus -- The foundation of modern science
description: Easy to understand explanation of integrals and derivatives using 3D animations.
source: http://youtu.be/rjLJIVoQxz4
publisher: Physics Videos by Eugene Khutoryansky published via YouTube.com
date: 2014-04-11T01:43:34.000Z
rights: Creative Commons License

Calculus Based Physics II
subject: Calculus
subject: Physics
subject: Mathematics
creator: Jeffrey W. Schnick
source: https://florida.theorangegrove.org/og/file/e153a870-4e35-41f0-868d-11727676a502/1/cbPhysicsIIb24.pdf
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus Early Transcendental: an Open Text
subject: Calculus
subject: Mathematics
description: Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses. To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome.
creator: Mohammed Kaabar

Calculus for The Life Sciences A Modeling Approach Volume II
subject: Calculus
subject: Mathematics
description: In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There is a chapter on systems of two difference equations.
creator: James L. Cornette
creator: Ralph A. Ackerman
publisher: Flooved.com on behalf of the author
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus For the Life Sciences: A Modeling Approach Volume I
subject: Calculus
subject: Mathematics
description: In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There is a chapter on systems of two difference equations.
creator: James L. Cornette
creator: Ralph A. Ackerman
publisher: Flooved.com on behalf of the author
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus using Matlab - Laplace Transform
description: Follow us on: Facebook: https://www.facebook.com/ElectroGramOfficial Google+ : https://plus.google.com/101150556774956497020 Twitter : https://twitter.com/shahmilan7
source: http://youtu.be/0is3_fvaMU0
publisher: Electrogram published via YouTube.com
date: 2016-09-11T13:30:00.000Z
rights: Creative Commons License This video represents licensed content on YouTube, meaning that the content has been claimed by a YouTube content partner.

Calculus Volume 1
subject: Calculus
subject: Mathematics
description: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration. OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
creator: Gilbert Strang
creator: Edwin Herman
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus Volume 2
subject: Calculus
subject: Mathematics
description: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
creator: Gilbert Strang
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus Volume 3
subject: Calculus
creator: Gilbert Strang
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Collaborative Statistics
subject: Statistics
description: Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. Courses using this textbook have been articulated by the University of California for transfer of credit. The textbook contains full materials for course offerings, including expository text, examples, labs, homework, and projects. A Teacher’s Guide is currently available in print form and on the Connexions site at and supplemental course materials including additional problem sets and video lectures are available. The on-line text for each of these collections collections will meet the Section 508 standards for accessibility. An on-line course based on the textbook was also developed by Illowsky and Dean. It has won an award as the best on-line California community college course. The on-line course will be available at a later date as a collection in Connexions, and each lesson in the on-line course will be linked to the on-line textbook chapter. The on-line course will include, in addition to expository text and examples, videos of course lectures in captioned and non-captioned format. The original preface to the book as written by professors Illowsky and Dean, now follows: This book is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. The text is named Collaborative Statistics because students learn best by doing. In fact, they learn best by working in small groups. The old saying “two heads are better than one” truly applies here. Our emphasis in this text is on four main concepts: thinking statistically incorporating technology working collabo…
creator: Barbara Illowsky
creator: Susan Dean
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

College Algebra
subject: Algebra
description: College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended). Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. The authors also offer a Precalculus version of this text, which has two extra chapters covering Trigonometry.
creator: Carl Stitz
creator: Jeff Zeager
publisher: Stitz Zeager Open Source Mathematics
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

College Algebra
subject: Algebra
description: It’s a cold day in Antarctica. In fact, it’s always a cold day in Antarctica. Earth’s southernmost continent, Antarctica experiences the coldest, driest, and windiest conditions known. The coldest temperature ever recorded, over one hundred degrees below zero on the Celsius scale, was recorded by remote satellite. It is no surprise then, that no native human population can survive the harsh conditions. Only explorers and scientists brave the environment for any length of time. Measuring and recording the characteristics of weather conditions in Antarctica requires a use of different kinds of numbers. Calculating with them and using them to make predictions requires an understanding of relationships among numbers. In this chapter, we will review sets of numbers and properties of operations used to manipulate numbers. This understanding will serve as prerequisite knowledge throughout our study of algebra and trigonometry
creator: Jay Abramson
source: https://openstax.org/details/books/college-algebra
publisher: https://openstax.org
date: 2015
contributor: Baihaqi
rights: Creative
format: PDF
language: English
type: Textbook

College Trigonometry
subject: Trigonometry
description: -
creator: Carl Stitz, Jeff Zeager
source: http://www.stitz-zeager.com/szct07042013.pdf
publisher: Stitz Zeager Open Source Mathematics
date: 2011
contributor: Baihaqi
rights: Creative Comnmons
format: PDF
language: English
type: Textbook

Combinatorics
subject: Mathematics
description: Combinatorics is a subfield of "discrete mathematics," so we should begin by asking what discrete mathematics means. The differences are to some extent a matter of opinion, and various mathematicians might classify specific topics differently. "Discrete" should not be confused with "discreet," which is a much more commonly-used word. They share the same Latin root, "discretio," which has to do with wise discernment or separation. In the mathematical "discrete," the emphasis is on separateness, so "discrete" is the opposite of \continuous." If we are studying objects that can be separated and treated as a (generally countable) collection of units rather than a continuous structure, then this study falls into discrete mathematics. In calculus, we deal with continuous functions, so calculus is not discrete mathematics. In linear algebra, our matrices often have real entries, so linear algebra also does not fall into discrete mathematics.Text books on discrete mathematics often include some logic, as discrete mathematics is often used as a gateway course for upper-level math. Elementary number theory and set theory are also sometimes covered. Algorithms are a common topic, as algorithmic techniques tend to work very well on the sorts of structures that we study in discrete mathematics. In Combinatorics, we focus on combinations and arrangements of discrete structures. There are have major branches of combinatorics that we will touch on in this course: enumeration, graph theory, Ramsey Theory, design theory, and coding theory. (The related topic of cryptography can also be studied in combinatorics, but we will not touch on it in this course.) We will focus on enumeration, graph theory, and design theory, but will briey introduce the other two topics.
creator: Joy Morris
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Combinatorics Through Guided Discovery
subject: Combinatorics
subject: Mathematics
description: This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as "counting." The book consist almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. Above all, this book is dedicated to the principle that doing mathematics is fun. As long as you know that some of the problems are going to require more than one attempt before you hit on the main idea, you can relax and enjoy your successes, knowing that as you work more and more problems and share more and more ideas, problems that seemed intractable at first become a source of satisfaction later on. There are six chapters as well as an appendix with three additional topics: What is Combinatorics? Applications of Induction and Recursion in Combinatorics and Graphy Theory Distribution Problems Generating Functions The Principle of Inclusion and Exclusion Groups Acting on Sets The three supplmental sections deal with relations, mathematical induction, and exponential generating functions.
creator: Kenneth P. Bogart
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Contemporary Calculus
subject: Calculus
subject: Mathematics
description: How to Succeed in Beginning Calculus 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 Calculus takes time. Do not get behind. Use the textbook intelligently. Working the problems. Work together. Study with a friend. Work in small groups
creator: Dale Hoffman
source: http://scidiv.bellevuecollege.edu/dh/Calculus_all/Calculus_all.html
publisher: Washington State Colleges
contributor: Taufiq A Gani
rights: Creative Common BY
type: Textbooks

Contemporary Calculus I . For the students
subject: Calculus
description: This is a textbook for differential calculus with explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Topics are typically introduced by way of applications, and the text contains the usual theorems and techniques of a first course in calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of differential calculus.
creator: Dale Hoffman
source: http://scidiv.bellevuecollege.edu/dh/Calculus_all/CC_I_ch_0to3
publisher: http://www.opentextbookstore.com
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Dalton State College APEX Calculus
subject: Calculus
subject: Mathematics
description: This text for Analytic Geometry and Calculus I, II, and III is a Dalton State College remix of APEX Calculus 3.0. The text was created through a Round Six ALG Textbook Transformation Grant. Topics covered in this text include: Limits Derivatives Integration Antidifferentiation Sequences Vectors
creator: Thomas Gonzalez
creator: Michael Hilgemann
creator: Jason Schmurr
publisher: Dalton State College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Discrete Mathematics
subject: Discrete
subject: Mathematics
description: his text was written to be used as the primary text for the class Discrete Mathematics (Math 228) at the University of Northern Colorado. The course serves as the role of a transitions course (introduction to proof), as well as an introduction to topics in discrete mathematics. While we have a few students each semester who will go on to study computer science, pure mathematics or applied mathematics, the majority of students are studying to be elementary or secondary math teachers. For this reason, most of the standard discrete textbooks are not appropriate for us. For many years we used Discrete and Combinatorial Mathematics by Richard Grassl and Tabitha Mingus. This is a very nice book in many ways (Grassl taught at UNC) but the print-on-demand publishing was expensive for students and some sections needed updating and (as I saw it) rearranging. While the book began as a set of lecture notes, it now contains a number of features that should support its use as a primary textbook: 363 exercises, including 233 with answers or full solutions, as well as 130 more involved problems suitable for homework. Investigate! activities throughout the text to support active, inquiry based learning. A full index and list of symbols. Consistent and (hopefully) helpful page layout and formatting (i.e., examples are easy to identify, important definitions and theorems in boxes, etc.)
creator: Oscar Levin
publisher: Oscar Levin
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary Algebra
subject: Elementary Algebra
subject: Algebra
subject: Mathematics
description: This is the Elementary Algebra textbook used by the Department of Mathematics in their Elementary Algebra course at College of the Redwoods, Eureka, California. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: David Arnold
creator: Bruce Wagner
source: http://www.opentextbookstore.com/details.php
publisher: Department of Mathematics, College of the Redwoods
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary Algebra
subject: Algebra
description: Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. Use of this book will help the student develop the insight and intuition necessary to master algebraic techniques and manipulative skills. Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.
creator: Wade Ellis
creator: Denny Burzynski
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbook

Elementary Algebra
subject: Algebra
description: Elementary Algebra is licensed under a Creative Commons Attribution 4.0 International (CC BY) license, which means that you can distribute, remix, and build upon the content, as long as you provide attribution to OpenStax and its content contributors. Because our books are openly licensed, you are free to use the entire book or pick and choose the sections that are most relevant to the needs of your course. Feel free to remix the content by assigning your students certain chapters and sections in your syllabus, in the order that you prefer. You can even provide a direct link in your syllabus to the sections in the web view of your book.Instructors also have the option of creating a customized version of their OpenStax book. The custom version can be made available to students in low-cost print or digital form through their campus bookstore. Visit your book page on openstax.org for more information.
creator: LYNN MARECEK, MARYANNE ANTHONY-SMITH,F
source: https://openstax.org/details/books/elementary-algebra
publisher: https://openstax.org
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Elementary Algebra Textbook
subject: Algebra
description: The Mayans used arithmetic to make astronomical computations, and developed the concept of zero over 2,000 years ago. The word “arithmetic” is derived from the Greek word arithmos (translated as “number”). It is the oldest and most elementary branch of mathematics and is used for a variety of tasks ranging from simple counting to advanced science and business calculations.
creator: College of the Redwoods, Department of Mathematics
source: http://msenux2.redwoods.edu/ElemAlgText/ElementaryAlgebra.pdf
publisher: College of the Redwoods, Department of Mathematics
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Elementary College Geometry
subject: Geometry
subject: Mathematics
description: This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively. The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject. This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.
creator: Henry Africk
publisher: CUNY Academic Works
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary Diferrential Equantions
subject: Elementary Diferrential
subject: Mathematics
description: Elementary Differential Equations by William F. Trench Andrew G. Cowles Distinguished Professor Emeritus, Department of Mathematics, Trinity University, San Antonio, Texas, USA,Previously published by Brooks/Cole Thomson Learning, 2000. This book has been judged to meet the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute’s Open Textbook Initiative.
creator: William F. Trench
source: https://florida.theorangegrove.org/og/file/1449b08c-b0be-4984-8e3d-6eafd0f649fe/1/TRENCH_FREE_DIFFEQ_I.pdf
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary Differential Equations
subject: Differential Equations
description: In order to apply mathematical methods to a physical or “real life” problem, we must formulate the problem in mathematical terms; that is, we must construct a mathematical model for the problem. Many physical problems concern relationships between changing quantities. Since rates of change are represented mathematically by derivatives, mathematical models often involve equations relating an unknown function and one or more of its derivatives. Such equations are differential equations. They are the subject of this book
creator: William F. Trench
source: https://digitalcommons.trinity.edu/cgi/viewcontent.cgi
publisher: Trinity University
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Elementary Differential Equations
subject: Differential Equations
description: Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough.
creator: William F. Trench
source: https://scholarcommons.usf.edu/cgi/viewcontent.cgi
publisher: Trinity University
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Elementary Differential Equations with Boundary Value Problems
subject: Differential Equations
description: Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough. An elementary text can’t be better than its exercises. This text includes 1695 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and definitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 250 completely worked out examples. Where appropriate, concepts and results are depicted in 144 figures. Although I believe that the computer is an immensely valuable tool for learning, doing, and writing mathematics, the selection and treatment of topics in this text reflects my pedagogical orientation along traditional lines. However, I have incorporated what I believe to be the best use of modern technology, so you can select the level of technology that you want to include in your course. The text includes 336 exercises – identified by the symbols C and C/G – that call for graphics or computation and graphics. There are also 73 laboratory exercises – identified by L – that require extensive use of technology. In addition, several sections include informal advice on the use of technology. If you prefer not to emphasize technology, simply ignore these exercises and the advice.
creator: William Trench
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commmons
type: Textbooks

Elementary Linear Algebra
subject: Algebra
description: This is an introduction to linear algebra. The main part of the book features row operations and everything is done in terms of the row reduced echelon form and specific algorithms. At the end, the more abstract notions of vector spaces and linear transformations on vector spaces are presented. However, this is intended to be a first course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra. I have given complete proofs of all the fundamental ideas, but some topics such as Markov matrices are not complete in this book but receive a plausible introduction. The book contains a complete treatment of determinants and a simple proof of the Cayley Hamilton theorem although these are optional topics.
creator: Kuttler
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2012/02/Elementary-Linear-Algebra-1-30-11-Kuttler-OTC.pdf
publisher: The Saylor Foundation
date: 2012
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Exact Trig Values - Hand Trick
subject: Mathematics
description: There are some key angles that have exact values in trigonometry. The ones we need to know are 0, 30, 45, 60 and 90. In this video we will discover one method of remember what these values are - by counting fingers on our hand! In the first part we discovered a different method (constructing a table) which you may prefer. Choose whichever method works best for you. SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Find all of our Chemistry videos here: https://www.youtube.com/watch?v=cRnpKjHpFyg&list=PLW0gavSzhMlReKGMVfUt6YuNQsO0bqSMV Find all of our Biology videos here: https://www.youtube.com/watch?v=tjkHzEVcyrE&list=PLW0gavSzhMlQYSpKryVcEr3ERup5SxHl0 Find all of our Maths videos here: https://www.youtube.com/watch?v=hJq_cdz_L00&list=PLW0gavSzhMlTyWKCgW1616v3fIywogoZQ Twitter: https://twitter.com/fuseSchool Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org Follow us: http://www.youtube.com/fuseschool Friend us: http://www.facebook.com/fuseschool This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org Input by Sofia Nelly
source: http://youtu.be/PF2nmCVSUEs
publisher: FuseSchool - Global Education published via YouTube.com
date: 2017-03-12T10:00:01.000Z
contributor: Sofia Nelly
rights: Creative Commons License This video represents licensed content on YouTube, meaning that the content has been claimed by a YouTube content partner.

Fast Fourier Transforms
subject: Transforms
subject: Mathematics
description: This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting.
creator: C. Sidney Burrus
creator: Matteo Frigo
creator: Steven G. Johnson
creator: Markus Pueschel
creator: Ivan Selesnick
publisher: Connexions
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

For All X; The Lorain County Remix
subject: Logic
description: This book was created by combining two previous books on logic and critical thinking, both made available under a Creative Commons license, and then adding some material so that the coverage matched that of commonly used logic textbooks.
creator: P.D. Magnus
creator: Cathal Woods
creator: J. Robert Loftis
source: https://forallxremix.files.wordpress.com/2015/06/loftis-magnus-and-woods-2015-for-all-x.pdf
publisher: University at Albany
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Foundations in Statistical Reasoning
subject: Statistic
subject: Statistical Reasoning
description: This book starts by presenting an overview of the statistical thought process. By the end of chapter 2, students are already familiar with concepts such as hypotheses, level of significance, p-values, errors. Normally these topics are not introduced until after a discussion of probability and sampling distributions. My approach to probability and sampling distributions is also very different. Because students using this book know about hypotheses before we reach the probability section, inferential theory can be developed by applying the probability rules the testing of a hypothesis. To me, this leads to better and more interesting questions than are typically asked in these sections and gives meaning to these concepts. Other differences include homework problems that require the integration of topics from different chapters as well as one problem in each chapter based on issues discussed in other classes on our campus (e.g. psychology, criminal justice, economics, etc).
creator: Pete Kaslik
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

From Algorithms to Z-Scores: Probabilistic and Statistical Modeling in Computer Science
subject: Algorithms
subject: Probabilistic and Statistical
subject: Computer Science
creator: Norm Matloff
source: https://florida.theorangegrove.org/og/file/2e13f939-b18f-38f7-3719-2d4257f2690c/1/ProbStatBook.pdf
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Functions and Relations
description: Part of the NCSSM Online AP Calculus Collection: This video deals with transformations of functions including parent functions and the library of functions and relations. http://www.dlt.ncssm.edu Please attribute this work as being created by the North Carolina School of Science and Mathematics. This work is licensed under Creative Commons CC-BY http://creativecommons.org/licenses/by/3.0 Help us caption & translate this video! http://amara.org/v/GAfN/
source: http://youtu.be/YbQOvkgrGrU
publisher: NCSSMDistanceEd published via YouTube.com
date: 2012-01-10T14:29:14.000Z
rights: Creative Commons License

Fundamental Methods of Logic
subject: Fundamental Methods of Logic
subject: Logic
subject: Fundamental Methods
subject: Math
description: There’s an ancient view, still widely held, that what makes human beings special—what distinguishes us from the “beasts of the field”—is that we are rational. What does rationality consist in? That’s a vexed question, but one possible response goes roughly like this: we manifest our rationality by engaging in activities that involve reasoning—making claims and backing them up with reasons, acting in accord with reasons and beliefs, drawing inferences from available evidence, and so on. This reasoning activity can be done well and it can be done badly—it can be done correctly or incorrectly. Logic is the discipline that aims to distinguish good reasoning from bad. Since reasoning is central to all fields of study—indeed, since it’s arguably central to being human—the tools developed in logic are universally applicable. Anyone can benefit from studying logic by becoming a more self-aware, skillful reasoner. This covers a variety of topics at an introductory level. Chapter One introduces basic notions, such as arguments and explanations, validity and soundness, deductive and inductive reasoning; it also covers basic analytical techniques, such as distinguishing premises from conclusions and diagramming arguments. Chapter Two discusses informal logical fallacies. Chapters Three and Four concern deductive logic, introducing the basics of Aristotelian and Sentential Logic, respectively. Chapters Five and Six concern inductive logic. Chapter Five deals with analogical and causal reasoning, including a discussion of Mill’s Methods. Chapter Six covers basic probability calculations, Bayesian inference, fundamental statistical concepts and techniques, and common statistical fallacies.
creator: Matthew Knachel
source: https://dc.uwm.edu/cgi/viewcontent.cgi
publisher: UWM Libraries
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Fundamentals of Mathematics
subject: Mathematics
description: Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.
creator: Denny Burzynski
creator: Wade Ellis
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Fundamentals of Matrix Algebra
subject: Matrix Algebra
description: A college (or advanced high school) level text dealing with the basic principles of matrix and linear algebra. It covers solving systems of linear equations, matrix arithmetic, the determinant, eigenvalues, and linear transformations. Numerous examples are given within the easy to read text. This third edition corrects several errors in the text and updates the font faces.
creator: Gregory Hartman
source: https://drive.google.com/file/d/18m2ZaPfomgYTQ3LQxSwu9YlFy3-JvwVw/view
publisher: APEX Calculus
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Geometry
subject: Geometry
subject: Mathematics
description: Geometry is used in many areas—from art to science. For example, geometry plays a key role in construction, fashion design, architecture, and computer graphics. This course focuses on the main ideas of geometry that are the foundation of applications of geometry used everywhere. In this chapter, you’ll study the basic elements of geometry. Later you will prove things about geometric shapes using the vocabulary and ideas in this chapter—so make sure that you completely understand each of the concepts presented here before moving on.
creator: Victor Cifarelli
creator: Andrew Gloag
creator: Dan Greenberg
creator: Jim Sconyers
creator: Bill Zahner
publisher: CK-12 Foundation
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Intermediate Algebra
subject: Algebra
subject: Aljabar
subject: Mathematical algebra
description: mathematic foccus on algebra
creator: LYNN MARECEK
creator: SANTA ANA COLLEGE
source: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/IntermediateAlgebra-LR.pdf
contributor: Nurlaila
rights: creative common
type: Textbooks

Intro to Logic
subject: Logic
subject: Mathematics
creator: Matthias Felleisen
creator: John Grenier
creator: Moshe Vardi
creator: Phokion Kolaitis
creator: Ian Barland
publisher: Connexions
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Differential Equations
subject: Mathematics
subject: Differential Equations
description: Much of the material of Chapters 2-6 and 8 has been adapted from thewidely used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, ○c 2001). Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven H. Strogatz (Perseus Publishing, ○c 1994)
creator: Jeffrey R. Chasnov
publisher: The Hong Kong University of Science and Technology
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Logic and Critical Thinking Version 1.4
subject: Introduction to Logic and Critical Thinking
subject: Introduction to Logic
subject: Logic
subject: Math
description: This is an introductory textbook in logic and critical thinking. The goal of the textbook is to provide the reader with a set of tools and skills that will enable them to identify and evaluate arguments. The book is intended for an introductory course that covers both formal and informal logic. As such, it is not a formal logic textbook, but is closer to what one would find marketed as a “critical thinking textbook.” The formal logic in chapter 2 is intended to give an elementary introduction to formal logic. Specifically, chapter 2 introduces several different formal methods for determining whether an argument is valid or invalid (truth tables, proofs, Venn diagrams). I contrast these formal methods with the informal method of determining validity introduced in chapter 1. What I take to be the central theoretical lesson with respect to the formal logic is simply that of understanding the difference between formal and informal methods of evaluating an argument’s validity. I believe there are also practical benefits of learning the formal logic. First and foremost, once one has internalized some of the valid forms of argument, it is easy to impose these structures on arguments one encounters. The ability to do this can be of use in evaluating an argumentative passage, especially when the argument concerns a topic with which one is not very familiar (such as on the GRE or LSAT).
creator: Matthew J. Van Cleave
source: 25. rkbctcWjo3OFhGODNSYTZPMVU/view
publisher: Lansing Community College
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Introduction to Mathematical Analysis I
subject: Mathematical analysis--Foundations
description: The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds.
creator: Beatriz Lafferriere
creator: Gerardo Lafferriere
creator: Nguyen Mau Nam
publisher: Portland State University Library Portland,
rights: Creative Commons

Introduction to Modern Set Theory
subject: Modern Set Theory
subject: Mathematics
description: Introduction to Modern Set Theory is designed for a one-semester course in set theory at the advanced undergraduate or beginning graduate level. Three features are the full integration into the text of the study of models of set theory, the use of illustrative examples both in the text and in the exercises, and the integration of consistency results and large cardinals into the text early on. This book is aimed at two audiences: students who are interested in studying set theory for its own sake, and students in other areas who may be curious about applications of set theory to their field. In particular, great care is taken to develop the intuitions that lie behind modern, as well as classical, set theory, and to connect set theory with the rest of mathematics.
creator: Judith Roitman
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Numerical Methods
subject: Numerical Methods
subject: Mathematics
description: What follows are my lecture notes for Math 3311: Introduction to Numerical Methods, taught at the Hong Kong University of Science and Technology. Math 3311, with two lecture hours per week, is primarily for non-mathematics majors and is required by several engineering departments. All web surfers are welcome to download these notes at http://www.math.ust.hk/~machas/numerical-methods.pdf and to use the notes freely for teaching and learning. I welcome any comments, suggestions or corrections sent by email to jeffrey.chasnov@ust.hk.
creator: Jeffrey R. Chasno
source: https://www.math.ust.hk/~machas/numerical-methods.pdf
publisher: The Hong Kong University of Science and Technology
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Introduction to Numerical Methods and Matlab Programming for Engineers
subject: Introduction to Numerical Methods
subject: Matlab Programming for Engineers
subject: Mathematics
description: These notes were developed by the firsht author in the process of teaching a course on applied numerical methods for Civil Engineering majors during 2002-2004 and was modified to include Mechanical Engineering in 2005. The materials have been periodically updated since then and underwent a major revision by the second author in 2006-2007. The main goals of these lectures are to introduce concepts of numerical methods and introduce Matlab in an Engineering framework. By this we do not mean that every problem is a \real life" engineering application, but more that the engineering way of thinking is emphasized throughout the discussion.
creator: Todd Young
creator: Martin J. Mohlenkamp
source: http://www.math.ohiou.edu/courses/math3600/book.pdf
publisher: Ohio University
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Introduction to Probability
subject: Introduction to Probability
subject: Probability
subject: Mathematical Probability
subject: Mathematics
subject: Math
description: Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continued to inﬂuence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a wellestablished branch of mathematics that ﬁnds applications in every area of scholarly activity from music to physics, and in daily experience from weather prediction to predicting the risks of new medical treatments.
creator: Charles M. Grinstead
creator: J. Laurie Snell
source: http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/amsbook.mac.pdf
publisher: Swarthmore College
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Introduction to Real Analysis
subject: Real Analysis
description: This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course. The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics. The standard elementary calculus sequence is the only specific prerequisite for Chapters 1–5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equation, also provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1–5.
creator: William Trench
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to the Modeling and Analysis of Complex Systems
subject: Modeling
subject: Analysisof Complex Systems
subject: Mathematics
description: Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can be understood as complex systems, where critically important information resides in the relationships between the parts and not necessarily within the parts themselves. This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models. Most of these topics are discussed in two chapters, one focusing on computational modeling and the other on mathematical analysis. This unique approach provides a comprehensive view of related concepts and techniques, and allows readers and instructors to flexibly choose relevant materials based on their objectives and needs. Python sample codes are provided for each modeling example.
creator: Hiroki Sayama
publisher: Open SUNY Textbooks
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introductory Algebra Student Workbook
subject: Algebra
subject: Mathematics
description: This workbook was created through the efforts of instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path to understanding numbers and arithmetic. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: Jenifer Bohart
creator: William Meacham
creator: Amy Volpe
creator: James Sousa
creator: Judy Sutor
creator: Donna Gaudet
source: http://www.opentextbookstore.com/details.php
publisher: Scottsdale Community College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introductory Statistics
subject: Statistics
subject: Math
description: ntroductory Statistics is designed for the one-semester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of this textbook is Collaborative Statistics, by Barbara Illowsky and Susan Dean. Additional topics, examples, and ample opportunities for practice have been added to each chapter. The development choices for this textbook were made with the guidance of many faculty members who are deeply involved in teaching this course. These choices led to innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful, so that students can draw from it a working knowledge that will enrich their future studies and help them make sense of the world around them.
creator: OpenStax College
source: https://www.google.com/url
publisher: Rice University
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Lies, Damned Lies, or Statistics: How to Tell the Truth with Statistics
subject: Statistics
description: Mathematical definitions should be perfectly precise because they do not describe something which is observed out there in the world, since such descriptive definitions might have fuzzy edges. In biology, for example, whether a virus is considered “alive” could be subject to some debate: viruses have some of the characteristics of life, but not others. This makes a mathematician nervous.
creator: Jonathan Poritz
source: https://www.poritz.net/jonathan/share/ldlos.pdf
publisher: Independent
date: 2017
contributor: Baihaqi
rights: Creative Commona
format: PDF
language: English
type: Textbook

LINEAR ALGEBRA
subject: ALGEBRA
description: This book helps students to master the material of a standard US undergraduate first course in Linear Algebra. The material is standard in that the subjects covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. Another standard is book’s audience: sophomores or juniors, usually with a background of at least one semester of calculus. The help that it gives to students comes from taking a developmental approach — this book’s presentation emphasizes motivation and naturalness, using many examples. The developmental approach is what most recommends this book so I will elaborate. Courses at the beginning of a mathematics program focus less on theory and more on calculating.
creator: Jim Hefferon
source: http://joshua.smcvt.edu/linearalgebra/book.pdf
publisher: Mathematics, Saint Michael’s College Colchester
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Algebra with Applications
subject: Linear Algebra
description: This textbook is an introduction to the ideas and techniques of linear algebra for ﬁrst- or second-year students with a working knowledge of high school algebra. The contents have enough ﬂexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a onesemester course for beginners whereas Chapters 5–9 contain a second semester course (see the Suggested Course Outlines below). The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A). Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. Calculus is not a prerequisite; places where it is mentioned may be omitted. As a rule, students of linear algebra learn by studying examples and solving problems. Accordingly, the book contains a variety of exercises (over 1200, many with multiple parts), ordered as to their difﬁculty. In addition, more than 375 solved examples are included in the text, many of which are computational in nature. The examples are also used to motivate (and illustrate) concepts and theorems, carrying the student from concrete to abstract. While the treatment is rigorous, proofs are presented at a level appropriate to the student and may be omitted with no loss of continuity. As a result, the book can be used to give a course that emphasizes computation and examples, or to give a more theoretical treatment (some longer proofs are deferred to the end of the Section). Linear Algebra has application to the natural sciences, engineering, management, and the social sciences as well as mathematics. Consequently, 18 optional “applications” sections are included in the text introducing topics as diverse as electrical networks, economic models, Markov chains, linear recurrences, systems of differential equations, and linear codes over ﬁnite ﬁelds. Additionally some applications (for example linear dynamical sy…
creator: W. Keith Nicholson
publisher: lyryx with Open Texts
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Linear Algebra with Applications. Open Edition
subject: Linear Algebra
description: This textbook is an introduction to the ideas and techniques of linear algebra for first- or second-year students with a working knowledge of high school algebra. The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a onesemester course for beginners whereas Chapters 5–9 contain a second semester course (see the Suggested Course Outlines below). The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A). Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. Calculus is not a prerequisite; places where it is mentioned may be omitted.
creator: W. Keith Nicholson,
source: https://lila1.lyryx.com/textbooks/OPEN_LAWA_1/marketing/Nicholson-OpenLAWA-2019A.pdf
publisher: Lyryx Learning Inc
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Algebra, Theory And Applications
subject: Linear Algebra
description: This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. This book features an ugly, elementary, and complete treatment of determinants early in the book. Thus it might be considered as Linear algebra done wrong. I have done this because of the usefulness of determinants. However, all major topics are also presented in an alternative manner which is independent of determinants. The book has an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. The presentation here emphasizes the reasons why they work. It does not discuss many important numerical considerations necessary to use the methods effectively. These considerations are found in numerical analysis texts.
creator: Kenneth Kuttler
publisher: Saylor Foundation
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Linear Algebra, Theory And Applications
subject: Linear Algebra
description: This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses. Part of the reason for this is its usefulness in unifying so many different topics. Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual.
creator: Kenneth Kuttler
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2012/02/Linear-Algebra-Kuttler-1-30-11-OTC.pdf
publisher: The Saylor Foundation
date: 2012
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Regression Using R: An Introduction to Data Modeling
subject: Linear Regression
description: Linear Regression Using R: An Introduction to Data Modeling presents one of the fundamental data modeling techniques in an informal tutorial style. Learn how to predict system outputs from measured data using a detailed step-by-step process to develop, train, and test reliable regression models. Key modeling and programming concepts are intuitively described using the R programming language. All of the necessary resources are freely available online.
creator: David Lilja
source: https://conservancy.umn.edu/bitstream/handle/11299/189222/LinearRegression_fulltext.pdf? sequence=5&isAllowed=y
publisher: University of Minnesota Libraries Publishing
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Regression Using R: An Introduction to Data Modeling
subject: Linear Regression, Data Modeling
description: Linear Regression Using R: An Introduction to Data Modeling presents one of the fundamental data modeling techniques in an informal tutorial style. Learn how to predict system outputs from measured data using a detailed step-by-step process to develop, train, and test reliable regression models. Key modeling and programming concepts are intuitively described using the R programming language. All of the necessary resources are freely available online.
creator: David R. Lilja
source: https://conservancy.umn.edu/bitstream/handle/11299/189222/LinearRegression_fulltext.pdf? sequence=5&isAllowed=y
publisher: University of Minnesota Libraries Publishing
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: textbook

Math in Society
subject: Mathematics
subject: Society
description: Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).
creator: David Lippman
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Mathematical Analysis Volume I
subject: Analysis
subject: Real Numbers
subject: Sets
subject: Vectors
subject: Sequences
subject: Mathematics
creator: Elias Zakon
source: https://florida.theorangegrove.org/og/file/5fa982a6-2c68-8570-1147-801c0d137365/1/Real-Analysis-I-Zakon-1-30-11-OTC.pdf
publisher: The Saylor Foundation
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Mathematical Analysis. Volume I
subject: Mathematical
description: This text is an outgrowth of lectures given at the University of Windsor, Canada. One of our main objectives is updating the undergraduate analysis as a rigorous postcalculus course. While such excellent books as Dieudonn´e’s Foundations of Modern Analysis are addressed mainly to graduate students, we try to simplify the modern Bourbaki approach to make it accessible to sufficiently advanced undergraduates.
creator: Elias Zakon
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2012/02/Real-Analysis-I-Zakon-1-30-11-OTC.pdf
publisher: The Saylor Foundation
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Mathematical Reasoning: Writing and Proof
subject: Mathematical Reasoning
description: Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs. Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout. For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills
creator: Ted Sundstrom
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Mathematics for Elementary Teachers
subject: Mathematics
description: This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations. The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will: • Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more. . Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).
creator: Michelle Manes
source: http://pressbooks-dev.oer.hawaii.edu/math111/
publisher: -
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: Digita PDF
language: English
type: Textbook

My Math GPS: Elementary Algebra Guided Problem Solving (2016 Edition)
subject: Math GPS
subject: Elementary Algebra
description: My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.
creator: Jonathan Cornick
creator: Michael Guy
creator: Karan Puri
publisher: CUNY Academic Works
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Notes on Diffy Qs: Differential Equations for Engineers
subject: Differential Equations
subject: Engineers
description: This book originated from my class notes for teaching Math 286 at the University of Illinois at Urbana-Champaign in Fall 2008 and Spring 2009. It is a ﬁrst course on differential equations for engineers. I also taught Math 285 at UIUC and Math 20D at UCSD using this book. The standard book at UIUC was Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Modeling [EP], fourth edition. The standard book at UCSD is Boyce and DiPrima’s Elementary Differential Equations and Boundary Value Problems [BD]. As the syllabus at UIUC was based on [EP], the early chapters in the book have some resemblance to [EP] in choice of material and its sequence, and examples used. Among other books I used as sources of information and inspiration are E.L. Ince’s classic (and inexpensive) Ordinary Differential Equations [I], Stanley Farlow’s Differential Equations and Their Applications [F], now available from Dover, Berg and McGregor’s Elementary Partial Differential Equations [BM], and William Trench’s free book Elementary Differential Equations with Boundary Value Problems [T]. See the Further Reading chapter at the end of the book.
creator: Jiˇrí Lebl
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

OpenIntro Statistics
subject: Statistics
subject: Mathematics
description: The OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. The inaugural effort is OpenIntro Statistics. Probability is optional, inference is key, and we feature real data whenever possible. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remiThe OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. The inaugural effort is OpenIntro Statistics. Probability is optional, inference is key, and we feature real data whenever possible. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.xed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: Diez, Barr
creator: Cetinkaya-Rundel
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Ordinary Differential Equations
subject: Differential Equations
description: This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long. Each chapter is covered in a week, and in the remaining two weeks I summarize the entire course, answer lots of questions, and prepare the students for the exam. I do not cover the material in the appendices in the lectures. Some of it is basic material that the students have already seen that I include for completeness and other topics are "tasters" for more advanced material that students will encounter in later courses or in their project work.
creator: Stephen Wiggins
source: https://open.umn.edu/opentextbooks/textbooks/ordinary-differential-equations
publisher: Independent
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Pre-Algebra
subject: Algebra
subject: Mathematics
description: A pre-algebra text, written by Angela Milano from American River College. For each section the text includes a student activity, narrative text with examples, and exercises. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: Angela Milano
source: http://www.opentextbookstore.com/details.php
publisher: American River College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Prealgebra
subject: Algebra
subject: Mathematics
description: A clear, methodical approach to topics in prealgebra, with good explanations of concepts. This book includes plenty of examples and then exercises. Equation solving is started earlier and used throughout. Geometric topics (e.g., area and perimeter) are presented throughout the text so students might actually remember them. The applications (word problems) are mostly realistic, and the applications are spread throughout the text, not isolated in a few sections. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: David Arnold
creator: Bruce Wagner
source: http://www.opentextbookstore.com/details.php
publisher: Department of Mathematics, College of the Redwoods
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Prealgebra
subject: Prealgebra
description: Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
creator: LYNN MARECEK, MARYANNE ANTHONY-SMITH
source: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/Prealgebra-OP_7D9i20P.pdf
publisher: OpenStax
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Precalculus
subject: Precalculus
subject: Mathematics
description: There are key differences between the way teaching and learning takes place in high schools and universities. Our goal is much more than just getting you to reproduce what was done in the classroom. Here are some key points to keep in mind: • The pace of this course will be faster than a high school class in precalculus. Above that, we aim for greater command of the material, especially the ability to extend what we have learned to new situations. • This course aims to help you build the stamina required to solve challenging and lengthy multi-step problems. • As a rule of thumb, this course should on average take 15 hours of effort per week. That means that in addition to the 5 classroom hours per week, you would spend 10 hours extra on the class. This is only an average and my experience has shown that 12–15 hours of study per week (outside class) is a more typical estimate. In other words, for many students, this course is the equivalent of a halftime job! • Because the course material is developed in a highly cumulative manner, we recommend that your study time be spread out evenly over the week, rather than in huge isolated blocks. An analogy with athletics is useful: If you are preparing to run a marathon, you must train daily; if you want to improve your time, you must continually push your comfort zone.
creator: David H. Collingwood
creator: K. David Prince
creator: Matthew M. Conroy
publisher: University of Washington
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Precalculus
subject: Precalculus
description: Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way.
creator: Jay Abramson,
source: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/Precalculus-OP_88kwxYo.pdf
publisher: OpenStax
date: 2014
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Precalculus
subject: Precalculus
description: From the preface, "These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems."
creator: Thomas Tradler, Holly Carley
source: https://academicworks.cuny.edu/cgi/viewcontent.cgi
publisher: New York City College of Technology
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Precalculus An Investigation of Functions Edition 1.5
subject: Precalculus
subject: Mathematics
creator: David Lippman
creator: Melonie Rasmussen
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Precalculus: An Investigation of Functions (Includes Trig) 1st Ed
subject: Precalculus
subject: Mathematics
description: The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: David Lippman
creator: Melonie Rasmussen
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Precalculus: An Investigation of Functions (Includes Trig) 2nd Ed
subject: Precalculus
subject: Mathematics
description: The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus. The second edition adds sections on real and complex roots of polynomials, dot product, and a new chapter on conics. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: David Lippman
creator: Melonie Rasmussen
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Principles of Business Statistics
subject: Business
subject: Statistics
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Probability and Statistics
description: We discuss probability and do some basic examples to refresh our memory on practice problems involving probability. Next video we focus on expectation values/ mean and the second moment of distribution.
source: http://youtu.be/Ky2DfnDbV-k
publisher: SciencewithGurni ! published via YouTube.com
date: 2017-09-01T03:04:12.000Z
rights: Creative Commons License

Proofs and Concepts: The Fundamentals of Abstract Mathematics
subject: Mathematics
description: This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.
creator: Dave Morris
creator: Joy Morris
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Pure Mathematics
subject: Mathematics
description: What is PURE MATHEMATICS? What does PURE MATHEMATICS mean? PURE MATHEMATICS meaning - PURE MATHEMATICS definition - PURE MATHEMATICS explanation. Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This was a recognizable category of mathematical activity from the nineteenth century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on. Another insightful view put forth is that pure mathematics is not necessarily applied mathematics: it is possible to study abstract entities with respect to their intrinsic nature, and not be concerned with how they manifest in the real world. Even though the pure and applied viewpoints are distinct philosophical positions, in practice there is much overlap in the activity of pure and applied mathematicians. To develop accurate models for describing the real world, many applied mathematicians draw on tools and techniques that are often considered to be "pure" mathematics. On the other hand, many pure mathematicians draw on natural and social phenomena as inspiration for their abstract research. Input by Sofia Nelly
source: http://youtu.be/EUsaM8zTPxk
publisher: The Audiopedia published via YouTube.com
date: 2016-09-04T15:37:57.000Z
contributor: Sofia Nelly
rights: Creative Commons License This video represents licensed content on YouTube, meaning that the content has been claimed by a YouTube content partner.

Solving Linear Equations - Basic Algebra Shortcut Tricks!
description: This algebra video tutorial shows you how to solve linear equations that contain fractions and variables on both sides of the equation. This video contains plenty of examples and practice problems for you to work on.
creator: -
source: https://www.youtube.com/watch
publisher: The Organic Chemistry Tutor published via YouTube.com
date: 2016-08-16T20:34:01.000Z
contributor: Baihaqi
rights: Creative Commons
format: Video
language: English
type: Tutoring

Statistical Analysis with The General Linear Model
subject: Statistical Analysis
subject: General Linear Model
subject: Mathematics
description: This course is about a large and complex set of statistical methods tied together by a unifying conceptual framework known as “The General Linear Model” (GLM). This model can be used to answer an amazing variety of research questions within an inﬁnite number of diﬀerent experimental designs. Basically, the GLM can be used to test almost any hypothesis about a dependent variable (DV) that is measured numerically (e.g., height, income, IQ, age, time needed to run a 100-yard dash, grade point average, etc.; but not categorical DVs like eye color, sex, etc.). In a ﬁrst statistics course, students will have seen some special cases of the GLM without knowing it. For example, the various kinds of “t-tests” (one-sample, between-subjects, within-subjects, etc.) are special cases of the GLM. So are correlation, regression, and the Analysis of Variance (ANOVA). We will not assume any prior knowledge of these techniques, but students should realize, if the new methods seem familiar, that they are now seeing the big picture.
creator: Jeff Miller
creator: Patricia Haden
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Statistical Inference For Everyone
subject: Statistical Inference
description: This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics 101 college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations and visualizations easier.
creator: Brian Blais
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Statistical Mechanics
subject: Statistical Mechanics
subject: Statistic
subject: Statistics
subject: Mathematics
description: This is a book about statistical mechanics at the advanced undergraduate level. It assumes a background in classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion principle, and in mathematics through multivariate calculus. (Section 9.2 also assumes that you can can diagonalize a 2 x 2 matrix.)
creator: Daniel F. Styer
source: http://www2.oberlin.edu/physics/dstyer/StatMech/book.pdf
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Statistics Using Technology
subject: Statistics, Technology
description: You are exposed to statistics regularly. If you are a sports fan, then you have the statistics for your favorite player. If you are interested in politics, then you look at the polls to see how people feel about certain issues or candidates. If you are an environmentalist, then you research arsenic levels in the water of a town or analyze the global temperatures. If you are in the business profession, then you may track the monthly sales of a store or use quality control processes to monitor the number of defective parts manufactured. If you are in the health profession, then you may look at how successful a procedure is or the percentage of people infected with a disease. There are many other examples from other areas. To understand how to collect data and analyze it, you need to understand what the field of statistics is and the basic definitions.
creator: Kathryn Kozak
source: https://s3-us-west-.amazonaws.com/oerfiles/statsusingtech2.pdf
publisher: -
date: 2015
contributor: Baihaqi
format: Format
language: Englis
type: Textbook

The Curious Country
subject: Country
description: By definition scientists are an inquisitive lot. But what are the scientific curiosities and concerns on the minds of Australians? What worries them, baffles them, and sets their curiosity meter to 10 out of 10? To find out, the Office of the Chief Scientist (OCS) took the nation’s intellectual temperature, surveying 1186 Australians: men and women aged 18 to 65, from all education levels and locations around Australia. The results frame this book: a collection of essays covering the diverse areas of science Australians are curious about. Edited by eminent science writer Leigh Dayton and including a foreword from Australia’s Chief Scientist, Ian Chubb. The collection covers a range of issues, including food and farming technology, environmental upheaval, health, fuel and energy technology and space exploration.
creator: Leigh Dayton,
source: http://oapen.org/download
publisher: ANU Press, Canberra
contributor: Rika Zulfia
rights: Creative Commons
type: Textbooks

The Simple Math of Writing Well: Writing for the 21st Century
subject: Simple Math
subject: Writing
description: Writing guides abound, but The Simple Math of Writing Well is one of a kind. Readers will find its practical approach affirming, encouraging, and informative, and its focus on the basics of linguistic structure releases 21st-century writers to embrace the variety of mediums that define our internet-connected world. As Harrop reminds us in the opening chapters of her book, we write more today than ever before in history: texts, emails, letters, blogs, reports, social media posts, proposals, etc. The Simple Math of Writing Well is the first guide that directly addresses the importance of writing well in the Google age.
creator: Jennie Harrop
publisher: George Fox University Library
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Topics in Applied Mathematics
subject: Applied Mathematics
description: The concepts and basic topics in elementary Linear Algebra and Calculus are reviewed and generalized to Linear Analysis in this first unit. In particular, the dot product, the vector space of R 2(that is, the x − y plane in Plane Geometry), and measurement of lengths of vectors in R2 , are extended to the “inner product,” the “inner-product space,” and “norm” measurement, respectively; the notion of eigenvalues and eigenvectors from Linear Algebra is extended to the “eigenvalue problem” of bounded linear operators; and eigenvalues are replaced by singular values for self-adjoint positive definite linear operators.
creator: Charles K. Chui
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2014/11/MA304- TopicsInAppliedMathematics-FINAL.pdf
publisher: The Saylor Foundation
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Trigonometry
subject: Trigonometry
subject: Mathematics
creator: Larry Ottman
creator: Andrea Hayes
creator: Lori Jordan
creator: Art Fortgang
creator: Mara Landers
creator: Brenda Meery
publisher: FlexBook
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Trigonometry
subject: Trigonometry
description: The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.
creator: Richard Beveridge
source: https://open.umn.edu
publisher: Independent
date: 2014
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Trigonometry
subject: Trigonometry
description: This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior athematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section
creator: Ted Sundstrom, Steven Schlicker
source: https://scholarworks.gvsu.edu/cgi/viewcontent.cgi
publisher: Grand Valley State University
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Trigonometry
subject: Trigonometry
description: This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section.
creator: Ted Sundstrom, Steven Schlicker
source: https://scholarworks.gvsu.edu/cgi/viewcontent.cgi
publisher: Grand Valley State University
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Vector Calculus
subject: Vector
subject: Calculus
description: This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”, or simply “Calculus III”. The prerequisites are the standard courses in single-variable calculus (a.k.a. Calculus I and II). I have tried to be somewhat rigorous about proving results. But while it is important for students to see full-blown proofs - since that is how mathematics works - too much rigor and emphasis on proofs can impede the ﬂow of learning for the vast majority of the audience at this level. If I were to rate the level of rigor in the book on a scale of 1 to 10, with 1 being completely informal and 10 being completely rigorous, I would rate it as a 5.
creator: Michael Corral
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks