Mathematics Textbooks Collection Resources (162)

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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:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
Richard Hammack
Date created
28/01/2013
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
Date created
29/01/2014
College Algebra
Conditions of Use:
Remix and Share
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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:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
Carl Stitz
Jeff Zeager
Date created
28/01/2013
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:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
John Redden
Date created
22/02/2011
Beginning Algebra
Conditions of Use:
Read the Fine Print
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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
Date created
16/04/2012
Prealgebra in a Technical World
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This site consists of a prealgebra textbook that is easily edited. The ...

This site consists of a prealgebra textbook that is easily edited. The text stresses applications and numeracy including rounding and mental math to effectively use technology for calculations.

Subject:
Algebra
Material Type:
Textbook
Unit of Study
Provider:
Rogue Community College
Author:
Charlotte Hutt
Dorette Long
Date created
14/03/2015
Adult Literacy Fundamentals Mathematics: Book 1
Conditions of Use:
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
Date created
27/03/2015
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
Date created
31/03/2016
Introduction to Statistics
Conditions of Use:
Read the Fine Print
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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
Date created
11/11/2011
APEX Calculus
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This text comprises a three–text series on Calculus. The first part covers ...

This text comprises a three–text series on Calculus. The first part covers material taught in many “Calc 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6.1. The second text covers material often taught in “Calc 2:” integration and its applications, along with an introduction to sequences, series and Taylor Polynomials, found in Chapters 5 through 8. The third text covers topics common in “Calc 3” or “multivariable calc:” parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 9 through 13. All three are available separately for free at www.vmi.edu/APEX.

Subject:
Mathematics
Calculus
Functions
Material Type:
Textbook
Provider:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
regory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar
Date created
19/02/2015
Active Calculus
Conditions of Use:
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In Active Calculus, we endeavor to actively engage students in learning the ...

In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
Matt Boelkins, David Austin, Steve Schlicker
Date created
19/02/2015
Single-Variable Calculus I
Conditions of Use:
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This course is designed to introduce the student to the study of ...

This course is designed to introduce the student to the study of Calculus through concrete applications. Upon successful completion of this course, students will be able to: Define and identify functions; Define and identify the domain, range, and graph of a function; Define and identify one-to-one, onto, and linear functions; Analyze and graph transformations of functions, such as shifts and dilations, and compositions of functions; Characterize, compute, and graph inverse functions; Graph and describe exponential and logarithmic functions; Define and calculate limits and one-sided limits; Identify vertical asymptotes; Define continuity and determine whether a function is continuous; State and apply the Intermediate Value Theorem; State the Squeeze Theorem and use it to calculate limits; Calculate limits at infinity and identify horizontal asymptotes; Calculate limits of rational and radical functions; State the epsilon-delta definition of a limit and use it in simple situations to show a limit exists; Draw a diagram to explain the tangent-line problem; State several different versions of the limit definition of the derivative, and use multiple notations for the derivative; Understand the derivative as a rate of change, and give some examples of its application, such as velocity; Calculate simple derivatives using the limit definition; Use the power, product, quotient, and chain rules to calculate derivatives; Use implicit differentiation to find derivatives; Find derivatives of inverse functions; Find derivatives of trigonometric, exponential, logarithmic, and inverse trigonometric functions; Solve problems involving rectilinear motion using derivatives; Solve problems involving related rates; Define local and absolute extrema; Use critical points to find local extrema; Use the first and second derivative tests to find intervals of increase and decrease and to find information about concavity and inflection points; Sketch functions using information from the first and second derivative tests; Use the first and second derivative tests to solve optimization (maximum/minimum value) problems; State and apply Rolle's Theorem and the Mean Value Theorem; Explain the meaning of linear approximations and differentials with a sketch; Use linear approximation to solve problems in applications; State and apply L'Hopital's Rule for indeterminate forms; Explain Newton's method using an illustration; Execute several steps of Newton's method and use it to approximate solutions to a root-finding problem; Define antiderivatives and the indefinite integral; State the properties of the indefinite integral; Relate the definite integral to the initial value problem and the area problem; Set up and calculate a Riemann sum; Estimate the area under a curve numerically using the Midpoint Rule; State the Fundamental Theorem of Calculus and use it to calculate definite integrals; State and apply basic properties of the definite integral; Use substitution to compute definite integrals. (Mathematics 101; See also: Biology 103, Chemistry 003, Computer Science 103, Economics 103, Mechanical Engineering 001)

Subject:
Calculus
Material Type:
Assessment
Full Course
Homework/Assignment
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation
Date created
11/11/2011
OpenIntro Statistics
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Our inaugural effort is OpenIntro Statistics. First and foremost, OpenIntro Statistics strives ...

Our inaugural effort is OpenIntro Statistics. First and foremost, OpenIntro Statistics strives to be a complete introductory textbook of the highest caliber. Its core derives from the classic notions of statistics education and is extended by recent innovations. The textbook meets high quality standards and has been used at Princeton, Vanderbilt, UMass Amherst, and many other schools. We look forward to expanding the reach of the project and working with teachers from all colleges and schools.

Subject:
Statistics and Probability
Material Type:
Textbook
Provider:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
Christopher Barr
David Diez
Mine Cetinkaya-Rundel
Date created
28/01/2013
Calculus I
Conditions of Use:
Read the Fine Print
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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
Date created
16/04/2012
Elementary Linear Algebra
Conditions of Use:
No Strings Attached
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Elementary Linear Algebra was written and submitted to the Open Textbook Challenge ...

Elementary Linear Algebra was written and submitted to the Open Textbook Challenge by Dr. Kenneth Kuttler of Brigham Young University. Dr. Kuttler wrote this textbook for use by his students at BYU. According to the introduction of Elementary Linear Algebra, ĺÎĺ_ĺĚĄ_this is intended to be a first course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra.ĺÎĺ_ĺĚĺÎĺ A solutions manual for the textbook is included.

Subject:
Algebra
Material Type:
Full Course
Textbook
Provider:
The Saylor Foundation
Author:
Kenneth Kuttler
Date created
05/03/2012
Introductory Algebra Student Workbook - Fourth Edition
Conditions of Use:
Read the Fine Print
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This workbook was created by mathematics instructors at Scottsdale Community College in ...

This workbook was created by mathematics instructors at Scottsdale Community College in Scottsdale, Arizona. It is designed to lead students through Introductory Algebra, and to help them develop a deep understanding of the concepts. The included curriculum is broken into twelve lessons. 303 pages. Also contains links to video mini-lessons.

Subject:
Mathematics
Algebra
Material Type:
Lecture
Textbook
Provider:
Scottsdale Community College
Provider Set:
Scottsdale Community College Open Textbooks
Author:
Donna Guhse
Jenifer Bohart
Judy Sutor
William Meacham
Date created
02/04/2015
Introduction to Statistical Methods in Economics - Lecture Notes
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Read the Fine Print
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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
Date created
07/11/2014
A Friendly Introduction to Differential Equations
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In this book, there are five chapters: The Laplace Transform, Systems of ...

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

Subject:
Mathematics
Material Type:
Textbook
Provider:
Mohammed Kaabar Website
Author:
Mohammed K A Kaabar
Date created
15/06/2015
Business Calculus
Conditions of Use:
No Strings Attached
Rating

This course provides an introduction to applied concepts in Calculus that are ...

This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.

Subject:
Calculus
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Date created
31/03/2016