Mathematics Textbooks Collection Resources (134)

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Basic Analysis: Introduction to Real Analysis
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This free online textbook is a one semester course in basic analysis. ...

This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course would. It should be possible to use these notes for a beginning of a more advanced course, but further material should be added.

Subject:
Mathematics
Material Type:
Textbook
Provider:
University of Illinois at Urbana-Champaign
Author:
Jiří Lebl
Differential Equations Textbook
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This is a free textbook which covers material for an introductory course ...

This is a free textbook which covers material for an introductory course on differential equations with some partial differential equations material, though it assumes knowledge of matrix theory. It includes a section on computing Fourier series of polynomials. It also includes a link to the freely available student solutions manual.

Subject:
Mathematics
Material Type:
Textbook
Provider:
NSDL Staff
Provider Set:
Mathematics Gateways and Resources
Author:
William F. Trench
Book of Proof
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This book will initiate you into an esoteric world. You will learn ...

This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics.

Subject:
Functions
Material Type:
Textbook
Provider:
Virginia Commonwealth University
Author:
Richard Hammack
Online Statistics: An Interactive Multimedia Course of Study
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No Strings Attached
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Online Statistics: An Interactive Multimedia Course of Study is an introductory-level statistics ...

Online Statistics: An Interactive Multimedia Course of Study is an introductory-level statistics book. The material is presented both as a standard textbook and as a multimedia presentation. The book features interactive demonstrations and simulations, case studies, and an analysis lab.

Subject:
Mathematics
Material Type:
Case Study
Full Course
Simulation
Textbook
Provider:
Rice University
Author:
David Lane
College Algebra
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College Algebra is an introductory text for a college algebra survey course. ...

College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended).

Subject:
Algebra
Material Type:
Textbook
Provider:
Stitz-Zeager Open Source Mathematics
Author:
Carl Stitz
Jeff Zeager
Elementary Algebra
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This text respects the traditional approaches to algebra pedagogy while enhancing it ...

This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, textual notation is introduced as a means to communicate solutions electronically throughout the text. While it is important to obtain the skills to solve problems correctly, it is just as important to communicate those solutions with others effectively in the modern era of instant communications.While algebra is one of the most diversely applied subjects, students often find it to be one of the more difficult hurdles in their education. With this in mind, John wrote Elementary Algebra from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. Elementary Algebra takes the best of the traditional, practice-driven algebra texts and combines it with modern amenities to influence learning, like online/inline video solutions, as well as, other media driven features that only a free online text can deliver.

Subject:
Algebra
Material Type:
Full Course
Textbook
Provider:
The Saylor Foundation
Author:
John Redden
Beginning and Intermediate Algebra
Conditions of Use:
No Strings Attached
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Beginning and Intermediate Algebra by Tyler Wallace is a textbook licensed under ...

Beginning and Intermediate Algebra by Tyler Wallace is a textbook licensed under a Creative Commons Attribution 3.0 Unported License. There is also a student guide and supplemental videos for each section.

Subject:
Algebra
Material Type:
Textbook
Provider:
Big Bend Community College
Author:
Tyler Wallace
MATLAB: An Introductory Course
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This is an introductory course to MATLAB, the high-performance interactive software. Topics ...

This is an introductory course to MATLAB, the high-performance interactive software. Topics include MATLAB Basics, Plotting, Scripts & Functions and Programming. Additional resources are also provided.

Subject:
Mathematics
Material Type:
Textbook
Provider:
OER Commons
Provider Set:
Open Author Resources
Author:
Randy Matusky
Beginning Algebra
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This course is also intended to provide the student with a strong ...

This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001)

Subject:
Algebra
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation
Introduction to Statistical Methods in Economics - Lecture Notes
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This course is a self-contained introduction to statistics with economic applications. Elements ...

This course is a self-contained introduction to statistics with economic applications. Elements of probability theory, sampling theory, statistical estimation, regression analysis, and hypothesis testing. It uses elementary econometrics and other applications of statistical tools to economic data. It also provides a solid foundation in probability and statistics for economists and other social scientists.

Subject:
Mathematics
Economics
Material Type:
Full Course
Textbook
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
MIT
Prof. Sara Ellison
Probability and Statistics EBook
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This is an Internet-based probability and statistics E-Book. The materials, tools and ...

This is an Internet-based probability and statistics E-Book. The materials, tools and demonstrations presented in this E-Book would be very useful for advanced-placement (AP) statistics educational curriculum. The E-Book is initially developed by the UCLA Statistics Online Computational Resource (SOCR). However, all statistics instructors, researchers and educators are encouraged to contribute to this project and improve the content of these learning materials.
There are 4 novel features of this specific Statistics EBook. It is community-built, completely open-access (in terms of use and contributions), blends information technology, scientific techniques and modern pedagogical concepts, and is multilingual.

Subject:
Statistics and Probability
Material Type:
Textbook
Provider:
UCLA
Provider Set:
Statistics Online Computational Resource
Author:
Statistics Online Computational Resource
Introduction to Statistics
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This course covers descriptive statistics, the foundation of statistics, probability and random ...

This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the relationships between various characteristics of data. Upon successful completion of the course, the student will be able to: Define the meaning of descriptive statistics and statistical inference; Distinguish between a population and a sample; Explain the purpose of measures of location, variability, and skewness; Calculate probabilities; Explain the difference between how probabilities are computed for discrete and continuous random variables; Recognize and understand discrete probability distribution functions, in general; Identify confidence intervals for means and proportions; Explain how the central limit theorem applies in inference; Calculate and interpret confidence intervals for one population average and one population proportion; Differentiate between Type I and Type II errors; Conduct and interpret hypothesis tests; Compute regression equations for data; Use regression equations to make predictions; Conduct and interpret ANOVA (Analysis of Variance). (Mathematics 121; See also: Biology 104, Computer Science 106, Economics 104, Psychology 201)

Subject:
Statistics and Probability
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Syllabus
Textbook
Provider:
The Saylor Foundation
Applied Calculus
Conditions of Use:
No Strings Attached
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Applied Calculus instructs students in the differential and integral calculus of elementary ...

Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

Subject:
Calculus
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Shana Calaway
Adult Literacy Fundamentals Mathematics: Book 1
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No Strings Attached
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: Fundamental mathematics for adult learners. Book 1 includes a Table of ...

: Fundamental mathematics for adult learners. Book 1 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Subject:
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Liz Gerard
Wendy Tagami
Vector Calculus
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This is a text on elementary multivariable calculus, designed for students who ...

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

Subject:
Calculus
Material Type:
Activity/Lab
Homework/Assignment
Textbook
Provider:
Schoolcraft College
Author:
Michael Corral
No-cost Calculus using APEX and WeBWorK
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APEX Calculus is a freely-available comprehensive textbook. Using this textbook and specially ...

APEX Calculus is a freely-available comprehensive textbook. Using this textbook and specially created WeBWorK exercises, Drs. Ault and Goel implemented a no-cost option for Calculus I at Valdosta State University in Fall 2015.

Subject:
Mathematics
Material Type:
Homework/Assignment
Textbook
Provider:
OER Commons
Provider Set:
Open Author Resources
Author:
Shaun Ault
Calculus I
Conditions of Use:
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This course begins with a review of algebra specifically designed to help ...

This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)

Subject:
Calculus
Functions
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation