1
1000
65

http://uilis.usk.ac.id/oer/files/original/c0c8373ccc2d7ec12018a1e1ec386b24.pdf
b66079c4581bc6f39a4a27c56edd38e8
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Title
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515 Analysis
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Title
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Elementary Algebra
Subject
The topic of the resource
Algebra
Description
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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.
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Wade Ellis
Denny Burzynski
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OpenStax CNX
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Cut Rita Zahara
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Textbook
Algebra
Algebraic Expressions and Equations
Arithmetic
Elementary Algebra
mathematics
Real Numbers
Solving Linear Equations

http://uilis.usk.ac.id/oer/files/original/d14770f653e21755c68040541d63e37c.pdf
dc7b2ce0a990091097d225c081d5ad88
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Title
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510 Mathematics
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Title
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Proofs and Concepts: The Fundamentals of Abstract Mathematics
Subject
The topic of the resource
Mathematics
Description
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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 highschool students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.
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Dave Morris
Joy Morris
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Independent
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Cut Rita Zahara
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Textbooks
mathematics

http://uilis.usk.ac.id/oer/files/original/936bd0dea33c25b2d6f264a52f6a9b05.pdf
c578b000f5511816437275333173efad
Dublin Core
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Title
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512 Algebra
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Title
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Linear Algebra, Theory And Applications
Subject
The topic of the resource
Linear Algebra
Description
An account of the resource
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.
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Kenneth Kuttler
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Saylor Foundation
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Cut Rita Zahara
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Textbooks
Linear Algebra
mathematics

http://uilis.usk.ac.id/oer/files/original/448a82fbd85254f6b80f93faec7c9b4e.pdf
d725c2aa66aa3fb5b30faf964be8abc9
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Title
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Advanced Problems in Mathematics: Preparing for University
Subject
The topic of the resource
Mathematics
Description
An account of the resource
" This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the Alevel core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics. "
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Stephen Siklos
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https://www.openbookpublishers.com/reader/342#page/10/mode/2up
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Open Book Publishers
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Rika Zulfia
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Type
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Textbooks
Date
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2016
Format
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Ebook
Language
A language of the resource
English
mathematics
Mathematics and science

http://uilis.usk.ac.id/oer/files/original/7b69cf5416184bf49a2be0bd4354f68a.PDF
215a9afa02ebd0071b79f34af6579f34
Dublin Core
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Title
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515 Analysis
Dublin Core
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Title
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Introduction to Real Analysis
Subject
The topic of the resource
Real Analysis
Description
An account of the resource
This is a text for a twoterm 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 realvalued 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
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William Trench
Publisher
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Independent
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Cut Rita Zahara
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Type
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Textbooks
mathematics
Real Analysis

http://uilis.usk.ac.id/oer/files/original/a28a9c1d7e6c0721fcf94c247375c3c9.pdf
cb33229da31e854cf63d3babfeb7a5f5
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Title
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510 Mathematics
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Title
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Fundamentals of Mathematics
Subject
The topic of the resource
Mathematics
Description
An account of the resource
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.
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Denny Burzynski
Wade Ellis
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OpenStax CNX
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Cut Rita Zahara
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Type
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Textbooks
mathematics

http://uilis.usk.ac.id/oer/files/original/6503ca87c0ec7d2c7be880617a165da4.pdf
3ecdd315b6ea66e27346fec34a41789c
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Title
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516 Geometry
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Title
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Fast Fourier Transforms
Subject
The topic of the resource
Transforms
Mathematics
Description
An account of the resource
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.
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C. Sidney Burrus
Matteo Frigo
Steven G. Johnson
Markus Pueschel
Ivan Selesnick
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Connexions
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Cut Rita Zahara
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Textbooks
mathematics
Transforms

http://uilis.usk.ac.id/oer/files/original/ee4abec5463d98587d2db47ab09e8edd.pdf
46a9f02dd72028962d46d0aea84a6d0f
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Title
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510 Mathematics
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Elementary Differential Equations with Boundary Value Problems
Subject
The topic of the resource
Differential Equations
Description
An account of the resource
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.
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William Trench
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Independent
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Textbooks
Differential Equations
mathematics

http://uilis.usk.ac.id/oer/files/original/98432f055b435f909717bc54160b6fd7.pdf
b04ee5d411cf287302950c8f9e3f0c2f
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Title
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516 Geometry
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Title
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Elementary College Geometry
Subject
The topic of the resource
Geometry
Mathematics
Description
An account of the resource
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 theoremproving 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 oddnumbered or just the evennumbered can be assigned. For assistance, the student may refer to a large number of completely workedout 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.
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Henry Africk
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CUNY Academic Works
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Cut Rita Zahara
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Textbooks
Geometry
mathematics

http://uilis.usk.ac.id/oer/files/original/d1a5da6ae5bb9439957d8718995a5e77.pdf
c95cae7c8e50527c5347d4324d745f19
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Title
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510 Mathematics
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Title
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Applied Finite Mathematics
Subject
The topic of the resource
Mathematics
Description
An account of the resource
Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
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OpenStax CNX
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Cut Rita Zahara
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Textbooks
Finite Mathematics
mathematics

http://uilis.usk.ac.id/oer/files/original/7655ee8e5a5d53562ad6de3066aa62c0.pdf
46051f5b6c5c4ef852a9a62a8a6f9919
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Title
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512 Algebra
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Title
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College Algebra
Subject
The topic of the resource
Algebra
Description
An account of the resource
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 openended). 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.
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Carl Stitz
Jeff Zeager
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Stitz Zeager Open Source Mathematics
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Cut Rita Zahara
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Type
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Textbooks
Algebra
mathematics

http://uilis.usk.ac.id/oer/files/original/1382d3c11f0ffef30629cd294e8045be.pdf
8ddeb2133eb506dc23307220fb854b3d
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Title
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519 Probabilities & Applied Mathematics
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Title
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Applied Probability
Subject
The topic of the resource
Probability
Description
An account of the resource
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 mprograms, or simply programs) to solve many important problems in basic probability. This should make the work useful as a standalone 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 socalled 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.
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Paul Pfeiffer
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OpenStax CNX
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Cut Rita Zahara
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Textbooks
mathematics
probability

http://uilis.usk.ac.id/oer/files/original/2c2dda191f5f1ae1a82af8fbb672d45f.pdf
39f3dce2cafe697fdad65584f80f71df
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Title
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510 Mathematics
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Title
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Advanced Algebra II: Conceptual Explanations
Subject
The topic of the resource
Algebra
Description
An account of the resource
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.
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Kenny M. Felder
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Cut Rita Zahara
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Textbooks
Algebra
mathematics

http://uilis.usk.ac.id/oer/files/original/1485f93defe2b727f526d182e69b6e13.pdf
6582559e7aab6d223c23ea0cce72b0b2
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Title
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510 Mathematics
Dublin Core
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Title
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A Primer of Real Analysis
Subject
The topic of the resource
Real Analysis
Mathematics
Description
An account of the resource
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
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Dan Sloughter
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Independent
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Cut Rita Zahara
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Textbooks
mathematics
Real Analysis

http://uilis.usk.ac.id/oer/files/original/29f2a870d813521d3a47256a1a5640c9.pdf
7c3aa3d377ce2e636452cb8fa1c8827a
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Title
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512 Algebra
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Title
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A Computational Introduction to Number Theory and Algebra
Subject
The topic of the resource
Computational
Number Theory
Algebra
Description
An account of the resource
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, noncommutative 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 generalizations of, the material presented in the text.
Some exercises are underlined. These develop important (but usually simple) facts, and should be viewed as an integral part of the book. It is highly recommended that the reader work these exercises, or at the very least, read and understand their statements.
In solving exercises, the reader is free to use any previously stated results in the text, including those in previous exercises. However, except where otherwise noted, any result in a section marked with a “(∗),” or in §5.5, need not and should not be used outside the section in which it appears.
There is a very brief “Preliminaries” chapter, which fixes a bit of notation and recalls a few standard facts. This should be skimmed over by the reader.
There is an appendix that contains a few useful facts; where such a fact is used in the text, there is a reference such as “see §An,” which refers to the item labeled “An” in the appendix.
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Victor Shoup
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Independent
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Cut Rita Zahara
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Textbooks
Algebra
Computational
mathematics
Number Theory

http://uilis.usk.ac.id/oer/files/original/379cac26d32ba522583ec5f156c3d125.pdf
0bc6726b2a94cacb12996d9e44e2f550
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Title
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510 Mathematics
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Title
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Applied Combinatorics
Subject
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Combinatorics
Mathematics
Description
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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.
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Mitchel T. Keller
William T. Trotter
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Combinatorics
mathematics

http://uilis.usk.ac.id/oer/files/original/ce1df622fcb8b4f1a87d7481dd8a740c.pdf
eeae8898ae44f026fb0722068ae0b270
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Title
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510 Mathematics
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Title
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Intro to Logic
Subject
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Logic
Mathematics
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Matthias Felleisen
John Grenier
Moshe Vardi
Phokion Kolaitis
Ian Barland
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Connexions
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Cut Rita Zahara
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Logic
mathematics

http://uilis.usk.ac.id/oer/files/original/1625c1eea86bd82c084376f6e4803b8f.pdf
887dfea975165b688ecc9dfe32a98b06
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Title
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510 Mathematics
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Title
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A Foundation In Applied Mathematics
Subject
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Mathematics
Description
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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.
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The Open University of Hong Kong
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The Open University of Hong Kong
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Textbooks
mathematics

http://uilis.usk.ac.id/oer/files/original/ba212d36454832655c9ed956fd2cdf97.pdf
10631849f7d2ecb91b18f1f54cc44257
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Title
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510 Mathematics
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Title
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Collaborative Statistics
Subject
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Statistics
Description
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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 honorslevel 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 online text for each of these collections collections will meet the Section 508 standards for accessibility.
An online course based on the textbook was also developed by Illowsky and Dean. It has won an award as the best online California community college course. The online course will be available at a later date as a collection in Connexions, and each lesson in the online course will be linked to the online textbook chapter. The online course will include, in addition to expository text and examples, videos of course lectures in captioned and noncaptioned 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 collaboratively
writing thoughtfully
These concepts are integral to our course. Students learn the best by actively participating, not by just watching and listening. Teaching should be highly interactive. Students need to be thoroughly engaged in the learning process in order to make sense of statistical concepts. Collaborative Statistics provides techniques for students to write across the curriculum, to collaborate with their peers, to think statistically, and to incorporate technology.
This book takes students step by step. The text is interactive. Therefore, students can immediately apply what they read. Once students have completed the process of problem solving, they can tackle interesting and challenging problems relevant to today’s world. The problems require the students to apply their newly found skills. In addition, technology (TI83 graphing calculators are highlighted) is incorporated throughout the text and the problems, as well as in the special group activities and projects. The book also contains labs that use real data and practices that lead students step by step through the problem solving process.
At De Anza, along with hundreds of other colleges across the country, the college audience involves a large number of ESL students as well as students from many disciplines. The ESL students, as well as the nonESL students, have been especially appreciative of this text. They find it extremely readable and understandable. Collaborative Statistics has been used in classes that range from 20 to 120 students, and in regular, honor, and distance learning classes.
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Barbara Illowsky
Susan Dean
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OpenStax CNX
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Cut Rita Zahara
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Textbooks
mathematics
Statistics

http://uilis.usk.ac.id/oer/files/original/fce3a8ddd9a769a83203fc624af7460b.pdf
2e122abb2f224b8bf41c8bdb845499b3
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Title
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510 Mathematics
Dublin Core
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Title
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Calculus Volume 3
Subject
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Calculus
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Gilbert Strang
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OpenStax
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Textbooks
Calculus
mathematics

http://uilis.usk.ac.id/oer/files/original/10c109723a0edbe3b140c666260e12a7.pdf
dcc94bb9e151935274cd95b505e2906b
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Title
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510 Mathematics
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Title
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Calculus Volume 2
Subject
The topic of the resource
Calculus
Mathematics
Description
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Calculus is designed for the typical two or threesemester 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.
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Gilbert Strang
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OpenStax
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Calculus
mathematics

http://uilis.usk.ac.id/oer/files/original/ebdab97db9863a678f563fa140abcd0b.pdf
9bf2ce773e8f4a5cc7d1aa39931a12b7
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Title
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510 Mathematics
Dublin Core
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Title
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Calculus Volume 1
Subject
The topic of the resource
Calculus
Mathematics
Description
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Calculus is designed for the typical two or threesemester 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 facultyonly content to interactive homework and study guides.
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Gilbert Strang
Edwin Herman
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OpenStax
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Cut Rita Zahara
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Calculus
mathematics

http://uilis.usk.ac.id/oer/files/original/3f646735a749e4f8f24240ce7015ada5.pdf
855bce83dfe03ea00ca17c3f307cfdac
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Title
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510 Mathematics
Dublin Core
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Title
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Brief Calculus
Subject
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Calculus
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Benjamin Crowell
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Open Textbooks
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Brief Calculus
Calculus
mathematics

http://uilis.usk.ac.id/oer/files/original/c17be35a6a78af540ac01ff81a3edb9b.pdf
f3f372712cf73d3f355c51ece2fd4671
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The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
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510 Mathematics
Dublin Core
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Title
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Algebra and Trigonometry
Subject
The topic of the resource
Algebra
Trigonometry
Mathematics
Description
An account of the resource
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.
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Multiple Authors
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OpenStax
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Algebra
mathematics
trigonometry

http://uilis.usk.ac.id/oer/files/original/cd899dfb1b199d0cba1758c5b53f367a.pdf
02375b1a378872f1a147f776a2a442dd
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Title
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510 Mathematics
Dublin Core
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Title
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Discrete Mathematics
Subject
The topic of the resource
Discrete
Mathematics
Description
An account of the resource
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 printondemand 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.)
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Oscar Levin
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Oscar Levin
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Textbooks
Discrete
mathematics

http://uilis.usk.ac.id/oer/files/original/9f602e1995dbc5a8ad0b54b20d34bcbf.pdf
6edb621dc8852e0e4f5d409e086607b8
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The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
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510 Mathematics
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
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Combinatorics Through Guided Discovery
Subject
The topic of the resource
Combinatorics
Mathematics
Description
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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.
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Kenneth P. Bogart
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Cut Rita Zahara
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Textbooks
Combinatorics
mathematics

http://uilis.usk.ac.id/oer/files/original/bd5563ccd40ac2afd7fee9cf924a9289.pdf
d6ec64af73639730a1cd3c04be5e3974
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Title
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515 Analysis
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Title
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A Story of Real Analysis
Subject
The topic of the resource
Real Analysis
Mathematics
Description
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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 nonintuitive 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.
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Robert Rogers
Eugene Boman
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Open SUNY Textbooks
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Cut Rita Zahra
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Textbooks
mathematics
Real Analysis

http://uilis.usk.ac.id/oer/files/original/13bef9124b6b8fe634aa9b544e743846.pdf
69c5a00719c86b86e8c2b03f9f9244de
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Title
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510 Mathematics
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
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Introduction to the Modeling and Analysis of Complex Systems
Subject
The topic of the resource
Modeling
Analysisof Complex Systems
Mathematics
Description
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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 realworld 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 technicallyoriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discretetime models, continuoustime models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agentbased 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.
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Hiroki Sayama
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Open SUNY Textbooks
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Textbooks
Analysis of Complex Systems
mathematics
Modeling

http://uilis.usk.ac.id/oer/files/original/9fa682ce0e95fcc70be5e0c0156cf7fb.pdf
e40161f7b9f41703d8d2ed207d19cffd
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Title
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510 Mathematics
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Title
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Dalton State College APEX Calculus
Subject
The topic of the resource
Calculus
Mathematics
Description
An account of the resource
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
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Thomas Gonzalez
Michael Hilgemann
Jason Schmurr
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Dalton State College
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Cut Rita Zahara
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Textbooks
Calculus
mathematics

http://uilis.usk.ac.id/oer/files/original/569e3627432efba7e47968863918f164.pdf
3c10d33d82ff08251365bf0a53caa677
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Title
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510 Mathematics
Dublin Core
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Title
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A Spiral Workbook for Discrete Mathematics
Subject
The topic of the resource
Discrete
Mathematics
Description
An account of the resource
This is a text that covers the standard topics in a sophomorelevel 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. Handson 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’ problemsolving and writing skills.
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Harris Kwong
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Open SUNY Textbooks
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Cut Rita Zahara
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The nature or genre of the resource
Textbooks
Discrete
mathematics

http://uilis.usk.ac.id/oer/files/original/b8fe9c0cb587c5bc461ad828805f3265.pdf
c09ce8c0e63067801f168fa35cbe84ee
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Title
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300 Social Sciences
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Title
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Explaining Criminal Career
Subject
The topic of the resource
Society and social sciences
Description
An account of the resource
Explaining Criminal Careers presents a simple quantitative theory of crime, conviction and reconviction, the assumptions of the theory are derived directly from a detailed analysis of cohort samples drawn from the “UK Home Office” Offenders Index (OI). Mathematical models based on the theory, together with population trends, are used to make: exact quantitative predictions of features of criminal careers; aggregate crime levels; the prison population; and to explain the agecrime curve, alternative explanations are shown not to be supported by the data. Previous research is reviewed, clearly identifying the foundations of the current work. Using graphical techniques to identify mathematical regularities in the data, recidivism (risk) and frequency (rate) of conviction are analysed and modelled. These models are brought together to identify three categories of offender: highrisk / highrate, highrisk / lowrate and lowrisk / lowrate. The theory is shown to rest on just 6 basic assumptions. Within this theoretical framework the seriousness of offending, specialisation or versatility in offence types and the psychological characteristics of offenders are all explored suggesting that the most serious offenders are a random sample from the risk/rate categories but that those with custody later in their careers are predominantly highrisk/highrate. In general offenders are shown to be versatile rather than specialist and can be categorised using psychological profiles. The policy implications are drawn out highlighting the importance of conviction in desistance from crime and the absence of any additional deterrence effect of imprisonment. The use of the theory in evaluation of interventions is demonstrated.
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John F. Macleod,
Peter G. Grove,
David P. Farringtz
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http://oapen.org/download?type=document&docid=468332
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Oxford University Press
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Rika Zulfia
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Textbooks
Causes and prevention of crime Society and social sciences
Crime and criminology
Crime and criminology Society and social sciences
criminology
mathematics
Offenders
Probability and statistics
Probation services Mathematics and science
Rehabilitation of offenders Society and social sciences
Social services and welfare
Society and social sciences

http://uilis.usk.ac.id/oer/files/original/e4b2045018d15ce5b72ce32419074505.pdf
f829f6449b47a6d9b1eb22d045433fde
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516 Geometry
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Geometry
Subject
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Geometry
Mathematics
Description
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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.
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Victor Cifarelli
Andrew Gloag
Dan Greenberg
Jim Sconyers
Bill Zahner
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CK12 Foundation
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Cut Rita Zahara
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Geometry
mathematics

http://uilis.usk.ac.id/oer/files/original/a74f5a6e6746b92092a348deaac0bb9c.pdf
addaefec3025058d417b2ec9b40236de
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Title
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510 Mathematics
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Title
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Calculus
Subject
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Calculus
Mathematics
Description
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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.
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Gregory Hartman, Ph.D.
Troy Siemers, Ph.D.
Brian Heinold, Ph.D.
Dimplekumar Chalishajar, Ph.D.
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Textbooks
Calculus
mathematics

http://uilis.usk.ac.id/oer/files/original/8291a51f5c9a68f74dce7bac5b1b71e0.pdf
94b44dca0e3dbde54b59417d16ae229c
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Title
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510 Mathematics
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Title
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Precalculus An Investigation of Functions Edition 1.5
Subject
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Precalculus
Mathematics
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David Lippman
Melonie Rasmussen
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Cut Rita Zahara
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Textbooks
mathematics
Precalculus

http://uilis.usk.ac.id/oer/files/original/91ae2697428b1980e37646130ed0b556.pdf
7792238f8a952f3734f679460e08a391
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Title
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510 Mathematics
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Precalculus
Subject
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Precalculus
Mathematics
Description
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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 multistep 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.
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David H. Collingwood
K. David Prince
Matthew M. Conroy
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University of Washington
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Cut Rita Zahara
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Textbooks
mathematics
Precalculus

http://uilis.usk.ac.id/oer/files/original/72d1dae2f253b0e6d095f67dd7b3a18d.pdf
ccca5bd256ccd9ecf305fca24c1995f5
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005 Computer Programming, Programs & Data
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Physical Modeling in MATLAB
Subject
The topic of the resource
MATLAB
Computer Science
Mathematics
Description
An account of the resource
Most books that use MATLAB are aimed at readers who know how to program. This book is for people who have never programmed before.
As a result, the order of presentation is unusual. The book starts with scalar values and works up to vectors and matrices very gradually. This approach is good for beginning programmers, because it is hard to understand composite objects until you understand basic programming semantics. But there are
problems:
• The MATLAB documentation is written in terms of matrices, and so are the error messages. To mitigate this problem, the book explains the necessary vocabulary early and deciphers some of the messages that beginners ﬁnd confusing.
• Many of the examples in the ﬁrst half of the book are not idiomatic MATLAB. I address this problem in the second half by translating the examples into a more standard style.
The book puts a lot of emphasis on functions, in part because they are an important mechanism for controlling program complexity, and also because they are useful for working with MATLAB tools like fzero and ode45.
I assume that readers know calculus, diﬀerential equations, and physics, but not linear algebra. I explain the math as I go along, but the descriptions might not be enough for someone who hasn’t seen the material before.
There are small exercises within each chapter, and a few larger exercises at the end of some chapters.
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Allen B. Downey
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Green Tea Press
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Textbooks
Computer Modeling
Computer Science
mathematics
MATLAB

http://uilis.usk.ac.id/oer/files/original/7aa91b22dd684f8887e52921f19f594d.pdf
ced4a303447556f50771c44b0bf7ad83
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Title
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510 Mathematics
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Title
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Introduction to Modern Set Theory
Subject
The topic of the resource
Modern Set Theory
Mathematics
Description
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Introduction to Modern Set Theory is designed for a onesemester 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.
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Judith Roitman
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Cut Rita Zahara
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Textbooks
mathematics
Modern Set Theory

http://uilis.usk.ac.id/oer/files/original/38403908eb230d7f8a8c2a326218de86.pdf
9881961c124fe48d1d3115f5c4bcfa7d
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Title
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515 Analysis
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Title
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Introduction to Differential Equations
Subject
The topic of the resource
Mathematics
Differential Equations
Description
An account of the resource
Much of the material of Chapters 26 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)
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Jeffrey R. Chasnov
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The Hong Kong University of Science and Technology
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Cut Rita Zahara
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Differential Equations
mathematics

http://uilis.usk.ac.id/oer/files/original/62d5bb3920bd003ab0f18e0619eccedb.pdf
87dbd84b33bdec99507851fcf5d450d3
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Title
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510 Mathematics
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Title
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Calculus for The Life Sciences A Modeling Approach Volume II
Subject
The topic of the resource
Calculus
Mathematics
Description
An account of the resource
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.
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James L. Cornette
Ralph A. Ackerman
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Flooved.com on behalf of the author
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Cut Rita Zahara
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Textbooks
Calculus
Difference Equations
Differential Equations
mathematics

http://uilis.usk.ac.id/oer/files/original/1795e4eee2b7d97140faaee61116d01b.pdf
5ae65146fcc93abb427b9f1e5b3dd342
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Title
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510 Mathematics
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Title
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Calculus For the Life Sciences: A Modeling Approach Volume I
Subject
The topic of the resource
Calculus
Mathematics
Description
An account of the resource
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.
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James L. Cornette
Ralph A. Ackerman
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Flooved.com on behalf of the author
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Cut Rita Zahara
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Textbooks
Calculus
Difference Equations
Differential Equations
mathematics

http://uilis.usk.ac.id/oer/files/original/f0d00c8a8f4564ad8ef10dc278f0a07e.pdf
6b01c68543f665a9d8f0ffa787b1a3e3
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Title
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510 Mathematics
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Title
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Applied Discrete Structures
Subject
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Discrete Structures
Mathematics
Description
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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.
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Alan Doerr
Kenneth Levasseur
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University of Massachusetts Lowell
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Cut Rita Zahara
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Discrete Structures
mathematics

http://uilis.usk.ac.id/oer/files/original/3d3a6380d9335141e439070bdde96b43.pdf
49b266d85c48e7d5b4afd6d24ea52dbd
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Title
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510 Mathematics
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Title
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Active Calculus Multivariable
Subject
The topic of the resource
Calculus
Mathematics
Description
An account of the resource
In Active Calculus  Multivariable, we endeavor to actively engage students in learning the subject through an activitydriven 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.
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Steven Schlicker
David Austin
Matthew Boelkins
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Textbooks
Active Calculus Multivariable
Calculus
mathematics

http://uilis.usk.ac.id/oer/files/original/e10449f2b53f19aebceff1b521001d4f.pdf
e1368102d9c4569274c8b591d6888203
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Title
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510 Mathematics
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Fundamental Methods of Logic
Subject
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Fundamental Methods of Logic
Logic
Fundamental Methods
Math
Description
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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 selfaware, 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.
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Matthew Knachel
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https://dc.uwm.edu/cgi/viewcontent.cgi?referer=http://open.umn.edu/opentextbooks/BookDetail.aspx?bookId=491&httpsredir=1&article=1000&context=phil_facbooks
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UWM Libraries
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Rahmah Agustira
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Textbooks
Fundamental Methods
Fundamental Methods of Logic
Math
mathematics

http://uilis.usk.ac.id/oer/files/original/d8f53de0f9a762db9365ec5f9d5b24a9.pdf
886c9062575cc923124911db15b1ccbf
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Title
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510 Mathematics
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Title
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Introduction to Probability
Subject
The topic of the resource
Introduction to Probability
Probability
Mathematical Probability
Mathematics
Math
Description
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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.
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Charles M. Grinstead
J. Laurie Snell
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http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/amsbook.mac.pdf
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Swarthmore College
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Rahmah Agustira
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Introduction to Probability
Math
Mathematical Probability
mathematics
probability

http://uilis.usk.ac.id/oer/files/original/f5f1f916ef82200c574cab58d480549b.pdf
a0b0aa234b5d589409efc0ae2f10ab40
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Title
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510 Mathematics
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Title
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Statistical Mechanics
Subject
The topic of the resource
Statistical Mechanics
Statistic
Statistics
Mathematics
Description
An account of the resource
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.)
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Daniel F. Styer
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http://www2.oberlin.edu/physics/dstyer/StatMech/book.pdf
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Rahmah Agustira
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Textbooks
mathematics
Statistical Mechanics
Statistics

http://uilis.usk.ac.id/oer/files/original/a8188ae8a4eaeb60f96af6dc50a4fd00.pdf
989e877156f3022e0029c0d779688f11
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Title
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518 Numerical Analysis
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Introduction to Numerical Methods and Matlab Programming for Engineers
Subject
The topic of the resource
Introduction to Numerical Methods
Matlab Programming for Engineers
Mathematics
Description
An account of the resource
These notes were developed by the firsht author in the process of teaching a course on applied
numerical methods for Civil Engineering majors during 20022004 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 20062007.
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
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Todd Young
Martin J. Mohlenkamp
Source
A related resource from which the described resource is derived
http://www.math.ohiou.edu/courses/math3600/book.pdf
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Ohio University
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Rahmah Agustira
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Textbooks
mathematics
Matlab Programming
Numerical Methods

http://uilis.usk.ac.id/oer/files/original/2875cc713c24a0ea73d02c3a373d6f9a.pdf
95a8a050092969659dbd7382e32394c8
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Title
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515 Analysis
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Title
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Introduction to Numerical Methods
Subject
The topic of the resource
Numerical Methods
Mathematics
Description
An account of the resource
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 nonmathematics majors and is required by several engineering departments. All web surfers are welcome to download these notes at
http://www.math.ust.hk/~machas/numericalmethods.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
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Jeffrey R. Chasno
Source
A related resource from which the described resource is derived
https://www.math.ust.hk/~machas/numericalmethods.pdf
Publisher
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The Hong Kong University of Science and Technology
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Rahmah Agustira
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Textbooks
Introduction to Numerical Methods
mathematics
Numerical Methods

http://uilis.usk.ac.id/oer/files/original/53600cc80cdcfa9f8fbde49291a507d2.pdf
bf678b262a76a402f927ee809aead3e6
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Title
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CalculusBased Physics I
Subject
The topic of the resource
CalculusBased
Physics
Mathematics
Description
An account of the resource
CalculusBased Physics is an introductory physics textbook designed for use in the twosemester introductory physics course typically taken by science and engineering students. This is the first of two textbooks for this course.
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Jeffrey W. Schnick, Ph.D
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http://solr.bccampus.ca:8001/bcc/file/b3cd0dd6f46f4178b29d4a26be81f7f5/1/cbPhysicsIa18%281%29.pdf
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Cut Rita Zahara
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Textbooks
Calculus
CalculusBased
mathematics
Physics

http://uilis.usk.ac.id/oer/files/original/fa25f1baa4d06014501706e3e1a912b3.pdf
a1433ba233770101d2e1b7a1f82a36f7
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Title
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000 Computer Science, Knowledge & Systems
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Title
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An Introduction to MATLAB and Mathcad
Subject
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MATLAB and Mathcad
Mathematics
Computer Science
Description
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An introduction to programming and problem solving using both MATLAB and Mathcad.
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Troy J. Siemers
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http://www.vmi.edu/media/contentassets/documents/academics/appliedmath/110_MATLAB_MATHCAD_Text.pdf
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Cut Rita Zahara
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Textbooks
Computer Aided Mathematics
Computer Science
Mathcad
mathematics
MATLAB
Technology

http://uilis.usk.ac.id/oer/files/original/b3d7e192a08244e85411f804f3c9fedd.pdf
75928745c321c4a764f85c58989af604
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Title
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An Introduction to Combinatorics and Graph Theory
Subject
The topic of the resource
Graph Theory
Combinatorics
Mathematics
Creator
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David Guichard
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https://www.whitman.edu/mathematics/cgt_online/cgt.pdf
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Cut Rita Zahara
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Textbooks
Combinatorics
Discrete Mathematics
Graph Theory
mathematics

http://uilis.usk.ac.id/oer/files/original/86e51993e691450511fa569e5218e6d6.pdf
5ce5f9789cd6b7f3f1e2ec20af35fb98
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Title
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Graph Theory
Subject
The topic of the resource
Mathematics
Description
An account of the resource
This is a set of lecture notes for Math 485–Penn State’s undergraduate Graph Theory course. Readers should have taken a course in combinatorial proof and ideally matrix algebra.
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Christopher Griffin
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http://www.freetechbooks.com/graphtheorypennstatemath485lecturenotest1236.html
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Cut Rita Zahara
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Textbooks
Graph Theory
mathematics

http://uilis.usk.ac.id/oer/files/original/f3c2d934fd6d800c2b8b344508f09c5e.pdf
9dd23fd7dbb4d108d684665c9b00cf2a
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Title
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620 Engineering & Applied Operations
Dublin Core
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Title
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A First Course in Electrical and Computer Engineering
Subject
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Electrical and Computer Engineering
Engineering & Electronics
Mathematics
Statistics Science
Technology
Creator
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Louis Scharf
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https://cnx.org/contents/fpkWedRh@2.3:tQa_RWkY@3/DedicationofAFirstCoursei
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Louis Scharf, Daniel Williamson, C. Sidney Burrus, Richard Baraniuk
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Cut Rita Zahara
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Textbooks
CNX Featured
Computer Engineering
computers
Electrical
Electrical engineering
Engineering
Engineering & Electronics
Engineering studies
mathematics
MATLAB
Statistics Science
Technology

http://uilis.usk.ac.id/oer/files/original/65363dac459da71d6d068f6c4e293450.pdf
f09eac96c944e9c0b7dd9de3a345ec6b
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Title
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515 Analysis
Dublin Core
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Title
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Elementary Diferrential Equantions
Subject
The topic of the resource
Elementary Diferrential
Mathematics
Description
An account of the resource
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
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William F. Trench
Source
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https://florida.theorangegrove.org/og/file/1449b08cb0be49848e3d6eafd0f649fe/1/TRENCH_FREE_DIFFEQ_I.pdf
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Cut Rita Zahara
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Textbooks
Elementary Diferrential
mathematics

http://uilis.usk.ac.id/oer/files/original/1190c7fe97e8f52b1cc8126a4bc4f669.pdf
55b84dac369e814c862f3c37436d5869
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Title
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510 Mathematics
Dublin Core
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Title
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Calculus Based Physics II
Subject
The topic of the resource
Calculus
Physics
Mathematics
Creator
An entity primarily responsible for making the resource
Jeffrey W. Schnick
Source
A related resource from which the described resource is derived
https://florida.theorangegrove.org/og/file/e153a8704e3541f0868d11727676a502/1/cbPhysicsIIb24.pdf
Contributor
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Cut Rita Zahara
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Creative Commons
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Textbooks
Circular Motion: Centripetal Acceleration
Conservation of Angular Momentum
Conservation of Mechanical Energy
Conservation of Momentum
Gravitational Potential Energy
Kinetic Energy
mathematics
Newton's Laws
OneDimensional Motion
relative velocity
Rotational Kinetic Energy
Springs
Universal Law of Gravitation

http://uilis.usk.ac.id/oer/files/original/552d43937fd183f5c69434b0f4088751.pdf
3bf3afbd66bc35fbe917db342b6f3371
Dublin Core
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Title
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515 Analysis
Dublin Core
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Title
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Mathematical Analysis Volume I
Subject
The topic of the resource
Analysis
Real Numbers
Sets
Vectors
Sequences
Mathematics
Creator
An entity primarily responsible for making the resource
Elias Zakon
Source
A related resource from which the described resource is derived
https://florida.theorangegrove.org/og/file/5fa982a62c6885701147801c0d137365/1/RealAnalysisIZakon13011OTC.pdf
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The Saylor Foundation
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Cut Rita Zahara
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Type
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Textbooks
Analysis
Differentiation
Integration
Limits
mathematics
Real Numbers
Sequences
Series
Sets
Vectors

http://uilis.usk.ac.id/oer/files/original/7976bba18a2758fb7bcc46d243e6a6c7.pdf
622297c6098c035526b41ad5e5d2a018
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Title
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005 Computer Programming, Programs & Data
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Title
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Mathematics for Computer Science
Subject
The topic of the resource
Mathematics
Computer
Creator
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Eric Lehman
F Tom Leighton
Albert R Meyer
Source
A related resource from which the described resource is derived
https://ocw.mit.edu/courses/electricalengineeringandcomputerscience/6042jmathematicsforcomputersciencespring2015/readings/MIT6_042JS15_textbook.pdf
Contributor
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Cut Rita Zahara
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Creative Commons
Type
The nature or genre of the resource
Textbooks
Computer
mathematics

http://uilis.usk.ac.id/oer/files/original/40777fbabd94be0145cd34e15df62459.pdf
e655bbdc01d0f19c92d6b8573b548ad3
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Title
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519 Probabilities & Applied Mathematics
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
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OpenIntro Statistics
Subject
The topic of the resource
Statistics
Mathematics
Description
An account of the resource
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 noone can remix the content then put the remix under a more restrictive license.xed into, but on the other hand ensures that noone can remix the content then put the remix under a more restrictive license.
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Diez, Barr
CetinkayaRundel
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http://www.opentextbookstore.com/details.php?id=12
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Cut Rita Zahara
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Creative Commons
Type
The nature or genre of the resource
Textbooks
mathematics
Statistics

http://uilis.usk.ac.id/oer/files/original/6a4e5e5e8acb93d855e7fb90f4d85ccf.pdf
8a7657014a348e8caba3d0588aac21bc
Dublin Core
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Title
A name given to the resource
512 Algebra
Dublin Core
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Title
A name given to the resource
Introductory Algebra Student Workbook
Subject
The topic of the resource
Algebra
Mathematics
Description
An account of the resource
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 noone can remix the content then put the remix under a more restrictive license.
Creator
An entity primarily responsible for making the resource
Jenifer Bohart
William Meacham
Amy Volpe
James Sousa
Judy Sutor
Donna Gaudet
Source
A related resource from which the described resource is derived
http://www.opentextbookstore.com/details.php?id=25
Publisher
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Scottsdale Community College
Contributor
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Cut Rita Zahara
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Creative Commons
Type
The nature or genre of the resource
Textbooks
Algebra
mathematics

http://uilis.usk.ac.id/oer/files/original/0c0aafdecef8970832adfabe483e0b30.pdf
2b0aaade4e03bb41c958227c7008a82a
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Title
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512 Algebra
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Beginning and Intermediate Algebra
Subject
The topic of the resource
Intermediate Algebra
Algebra
Mathematics
Description
An account of the resource
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: prealgebra 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
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Tyler Wallace
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A related resource from which the described resource is derived
http://www.opentextbookstore.com/details.php?id=6
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Cut Rita Zahara
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Creative Commons
Type
The nature or genre of the resource
Textbooks
Algebra
Intermediate Algebra
mathematics

http://uilis.usk.ac.id/oer/files/original/422c4cc242a5fcc0463b92062df18815.pdf
15aba9e64e8d9d510e9df015dce91f40
Dublin Core
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Title
A name given to the resource
512 Algebra
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Prealgebra
Subject
The topic of the resource
Algebra
Mathematics
Description
An account of the resource
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 noone can remix the content then put the remix under a more restrictive license. The noncommercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
Creator
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David Arnold
Bruce Wagner
Source
A related resource from which the described resource is derived
http://www.opentextbookstore.com/details.php?id=5
Publisher
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Department of Mathematics, College of the Redwoods
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Cut Rita Zahara
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Creative Commons
Type
The nature or genre of the resource
Textbooks
mathematics
Prealgebra

http://uilis.usk.ac.id/oer/files/original/97de7632d7921747dbb22330a2cb1a1f.pdf
904d44ca28df5979390e6ffe7945c74c
Dublin Core
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Title
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512 Algebra
Dublin Core
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Title
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PreAlgebra
Subject
The topic of the resource
Algebra
Mathematics
Description
An account of the resource
A prealgebra 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 noone can remix the content then put the remix under a more restrictive license. The noncommercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
Creator
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Angela Milano
Source
A related resource from which the described resource is derived
http://www.opentextbookstore.com/details.php?id=22
Publisher
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American River College
Contributor
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Cut Rita Zahara
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Creative Commons
Type
The nature or genre of the resource
Textbooks
mathematics
PreAlgebra

http://uilis.usk.ac.id/oer/files/original/c1a07e47f90ea4dd07a16a43a1fc640d.pdf
6e0c79507a91f30446895f6f8121ccd0
Dublin Core
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Title
A name given to the resource
513 Arithmetic
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Basic Arithmetic Student Workbook
Subject
The topic of the resource
Basic Arithmetic
Arithmetic
Mathematics
Description
An account of the resource
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 noone can remix the content then put the remix under a more restrictive license.
Creator
An entity primarily responsible for making the resource
Donna Gaudet
Amy Volpe
Jenifer Bohart
Source
A related resource from which the described resource is derived
http://www.opentextbookstore.com/details.php?id=24
Contributor
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Cut Rita Zahara
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Creative Commons
Type
The nature or genre of the resource
Textbook
Arithmetic
Basic Arithmetic
mathematics

http://uilis.usk.ac.id/oer/files/original/04e3d72e6c33159b30e2f4335f20857e.pdf
1ce4ee542c380f52cce404834be8b8b1
Dublin Core
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Title
A name given to the resource
513 Arithmetic
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Arithmetic for College Students
Subject
The topic of the resource
Arithmetic
Mathematics
Description
An account of the resource
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
An entity primarily responsible for making the resource
MITE
David Lippman
Source
A related resource from which the described resource is derived
http://www.opentextbookstore.com/details.php?id=13
Contributor
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Cut Rita Zahara
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Information about rights held in and over the resource
Creative Commons
Type
The nature or genre of the resource
Textbooks
Publisher
An entity responsible for making the resource available
Scottsdale Community College
Arithmetic
mathematics

http://uilis.usk.ac.id/oer/files/original/5e25faf122d99be04c59f72fbb2383b8.pdf
d905173ee9c2cb8926fe4b8de28e5935
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
512 Algebra
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
A First Course in Linear Algebra
Subject
The topic of the resource
Algebra
Linear Algebra
Mathematics
Description
An account of the resource
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 OddNumbered 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
An entity primarily responsible for making the resource
Mohammed Kaabar
Source
A related resource from which the described resource is derived
http://www.oercommons.org/courses/afirstcourseinlinearalgebrastudyguidefortheundergraduatelinearalgebracourse/view
Publisher
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CreateSpace, Charleston, SC
Contributor
An entity responsible for making contributions to the resource
Taufiq A Gabi
Rights
Information about rights held in and over the resource
Creative Commons
Algebra
Linear Algebra
mathematics

http://uilis.usk.ac.id/oer/files/original/bbaebf34aca58f99830311378d0277b0.jpg
3997ef567168b0ed0614a2eb549561d1
Dublin Core
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Title
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510 Mathematics
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Title
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Exact Trig Values  Hand Trick
Description
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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.
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This Open Educational Resource is free of charge, under a Creative Commons License: AttributionNonCommercial CC BYNC ( View License Deed: http://creativecommons.org/licenses/bync/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
Date
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20170312T10:00:01.000Z
Source
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http://youtu.be/PF2nmCVSUEs
Rights
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<a href="http://creativecommons.org/licenses/by/3.0/legalcode">Creative Commons License</a><br />This video represents licensed content on YouTube, meaning that the content has been claimed by a YouTube content partner.
Publisher
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FuseSchool  Global Education<br />published via YouTube.com
Contributor
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Sofia Nelly
Subject
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Mathematics
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60
90
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