Mathematics

Algebra, Calculus, Functions, Geometry, Staistics and Probability and Trigonometry.

201 affiliated resources

Search Resources

Filter Resources

Education Standards

Subject Area

Education Level

Grade Codes

Material Type

License Types

Content Source

Primary User

Media Format

Educational Use

Language

Providers

Open filters Close filters
View
Selected filters:
Intermediate Statistics with R
Conditional Remix & Share Permitted
CC BY-NC
Intermediate Statistics with R
Rating
0.0 stars

Introductory statistics courses prepare students to think statistically but cover relatively few statistical methods. Building on the basic statistical thinking emphasized in an introductory course, a second course in statistics at the undergraduate level can explore a large number of statistical methods. This text covers more advanced graphical summaries, One-Way ANOVA with pair-wise comparisons, Two-Way ANOVA, Chi-square testing, and simple and multiple linear regression models. Models with interactions are discussed in the Two-Way ANOVA and multiple linear regression setting with categorical explanatory variables. Randomization-based inferences are used to introduce new parametric distributions and to enhance understanding of what evidence against the null hypothesis “looks like”. Throughout, the use of the statistical software R via Rstudio is emphasized with all useful code and data sets provided within the text. This is Version 3.0 of the book.

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
Montana State University
Author:
Mark C. Greenwood
Date Added:
11/18/2021
MoreLess
Introducing Mathematical Biology
Unrestricted Use
CC BY
Introducing Mathematical Biology
Rating
0.0 stars

An Open Education Resource

Short Description:
Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

Word Count: 41598

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Applied Science
Calculus
Computer Science
Mathematics
Material Type:
Textbook
Author:
Alex Best
Date Added:
07/12/2023
MoreLess
Introduction to Applied Statistics for Psychology Students
Conditional Remix & Share Permitted
CC BY-NC-SA
Introduction to Applied Statistics for Psychology Students
Rating
0.0 stars

Word Count: 72364

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Mathematics
Social Science
Statistics and Probability
Material Type:
Textbook
Author:
Gordon E. Sarty
Date Added:
03/01/2022
MoreLess
Introduction to Communication Systems: An Interactive Approach Using the Wolfram Language
Conditional Remix & Share Permitted
CC BY-NC
Introduction to Communication Systems: An Interactive Approach Using the Wolfram Language
Rating
0.0 stars

This ebook provides a unique pedagogical approach to teaching the fundamentals of communication systems using interactive graphics and in-line questions. The material opens with describing the transformation of bits into digital baseband waveforms. Double-sideband suppressed carrier modulation and quadrature modulation then provide the foundation for the discussions of Binary Phase Shift Keying (BPSK), Quadrature Phase Shift Keying (QPSK), M-ary Quadrature Amplitude Modulation (M-QAM), M-ary Phase Shift Keying (MPSK), and the basic theory of Orthogonal Frequency Division Multiplexing (OFDM). Traditional analog modulation systems are also described. Systems trade-offs, including link budgets, are emphasized. Interactive graphics allow the students to engage with and visualize communication systems concepts. Interactivity and in-line review questions enables students to rapidly examine system tradeoffs and design alternatives. The topics covered build upon each other culminating with an introduction to the implementation of OFDM transmitters and receivers, the ubiquitous technology used in WiFi, 4G and 5G communication systems.

Subject:
Mathematics
Material Type:
Textbook
Provider:
University of Kansas
Author:
Victor S. Frost
Date Added:
08/12/2021
MoreLess
Introduction to GNU Octave: A Brief Tutorial for Linear Algebra and Calculus Students
Conditional Remix & Share Permitted
CC BY-SA
Introduction to GNU Octave: A Brief Tutorial for Linear Algebra and Calculus Students
Rating
0.0 stars

These notes are intended to provide a brief, noncomprehensive introduction to GNU Octave, a free open source alternative to MatLab. The basic syntax and usage is explained through concrete examples from the mathematics courses a math, computer science, or engineering major encounters in the first two years of college: linear algebra, calculus, and differential equations.

Subject:
Applied Science
Engineering
Mathematics
Material Type:
Textbook
Provider:
Wytheville Community College
Author:
Jason Lachniet
Date Added:
05/12/2018
MoreLess
Introduction to Game Theory: a Discovery Approach
Unrestricted Use
CC BY
Introduction to Game Theory: a Discovery Approach
Rating
0.0 stars

Game theory is an excellent topic for a non-majors quantitative course as it develops mathematical models to understand human behavior in social, political, and economic settings. The variety of applications can appeal to a broad range of students. Additionally, students can learn mathematics through playing games, something many choose to do in their spare time! This text also includes an exploration of the ideas of game theory through the rich context of popular culture. It contains sections on applications of the concepts to popular culture. It suggests films, television shows, and novels with themes from game theory. The questions in each of these sections are intended to serve as essay prompts for writing assignments.

Subject:
Mathematics
Material Type:
Textbook
Author:
Jennifer Firkins Nordstrom
Date Added:
02/28/2020
MoreLess
Introduction to Mathematical Analysis I - Second Edition
Conditional Remix & Share Permitted
CC BY-NC
Introduction to Mathematical Analysis I - Second Edition
Rating
0.0 stars

Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
The textbook contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Portland State University
Provider Set:
PDXOpen
Author:
Beatriz Lafferriere; Gerardo Lafferriere; Nguyen Mau Nam
Date Added:
12/10/2014
MoreLess
An Introduction to Matlab and Mathcad
Conditional Remix & Share Permitted
CC BY-NC
An Introduction to Matlab and Mathcad
Rating
0.0 stars

This textbook, or really a “coursebook” for a college freshman-level class, has been updated for Spring 2014 and provides an introduction to programming and problem solving using both Matlab and Mathcad. We provide a balanced selection of introductory exercises and real-world problems (i.e. no “contrived” problems). We include many examples and screenshots to guide the reader. We assume no prior knowledge of Matlab or Mathcad.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
Troy Siemers
Date Added:
06/28/2019
MoreLess
An Introduction to Psychological Statistics
Conditional Remix & Share Permitted
CC BY-NC-SA
An Introduction to Psychological Statistics
Rating
0.0 stars

This work has been superseded by Introduction to Statistics in the Psychological Sciences available from https://irl.umsl.edu/oer/25/.

-

We are constantly bombarded by information, and finding a way to filter that information in an objective way is crucial to surviving this onslaught with your sanity intact. This is what statistics, and logic we use in it, enables us to do. Through the lens of statistics, we learn to find the signal hidden in the noise when it is there and to know when an apparent trend or pattern is really just randomness. The study of statistics involves math and relies upon calculations of numbers. But it also relies heavily on how the numbers are chosen and how the statistics are interpreted.

This work was created as part of the University of Missouri’s Affordable and Open Access Educational Resources Initiative (https://www.umsystem.edu/ums/aa/oer). The contents of this work have been adapted from the following Open Access Resources: Online Statistics Education: A Multimedia Course of Study (http://onlinestatbook.com/). Project Leader: David M. Lane, Rice University. Changes to the original works were made by Dr. Garett C. Foster in the Department of Psychological Sciences to tailor the text to fit the needs of the introductory statistics course for psychology majors at the University of Missouri – St. Louis. Materials from the original sources have been combined, reorganized, and added to by the current author, and any conceptual, mathematical, or typographical errors are the responsibility of the current author.

Subject:
Mathematics
Psychology
Social Science
Statistics and Probability
Material Type:
Textbook
Provider:
University of Missouri St. Louis
Author:
Dan Osherson
Foster Garett C
Garett C Foster
Hebl Mikki
Mikki Hebl
Rice University
Rudy Guerra
Scott David
University Of Missouri-st Louis
Zimmer Heidi
Date Added:
11/13/2018
MoreLess
Introduction to Real Analysis
Conditional Remix & Share Permitted
CC BY-NC-SA
Introduction to Real Analysis
Rating
0.0 stars

This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course.

The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics. The standard elementary calculus sequence is the only specific prerequisite for Chapters 1–5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equation, also provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1–5.

Subject:
Calculus
Functions
Mathematics
Material Type:
Textbook
Provider:
Trinity University
Provider Set:
Digital Commons @Trinity University
Author:
William Trench
Date Added:
12/01/2013
MoreLess
Introduction to Statistical Thinking
Unrestricted Use
CC BY
Introduction to Statistical Thinking
Rating
0.0 stars

The target audience for this book is college students who are required to learn statistics, students with little background in mathematics and often no motivation to learn more. It is assumed that the students do have basic skills in using computers and have access to one. Moreover, it is assumed that the students are willing to actively follow the discussion in the text, to practice, and more importantly, to think.

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Author:
Benjamin Yakir
Date Added:
11/18/2021
MoreLess
Introduction to Statistics
Unrestricted Use
Public Domain
Introduction to Statistics
Rating
0.0 stars

Introduction to Statistics is a resource for learning and teaching introductory statistics. This work is in the public domain. Therefore, it can be copied and reproduced without limitation. However, we would appreciate a citation where possible. Please cite as: Online Statistics Education: A Multimedia Course of Study (http://onlinestatbook.com/). Project Leader: David M. Lane, Rice University. Instructor's manual, PowerPoint Slides, and additional questions are available.

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Author:
David Lane
Date Added:
12/02/2019
MoreLess
An Introduction to the Theory of Numbers
Read the Fine Print
An Introduction to the Theory of Numbers
Rating
0.0 stars

This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text.

Subject:
Mathematics
Material Type:
Textbook
Provider:
The Trillia Group
Author:
Leo Moser
Date Added:
02/16/2011
MoreLess
Introductory Algebra
Unrestricted Use
CC BY
Introductory Algebra
Rating
0.0 stars

Short Description:
This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

Long Description:
This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

Word Count: 166774

ISBN: 978-1-77420-095-7

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Algebra
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Author:
Izabela Mazur
Date Added:
03/26/2021
MoreLess
Introductory Business Statistics
Unrestricted Use
CC BY
Introductory Business Statistics
Rating
0.0 stars

Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alexander Holmes
Barbara Illowsky
Susan Dean
Veda Roodal Persad
Date Added:
11/30/2017
MoreLess
Introductory Business Statistics
Unrestricted Use
CC BY
Introductory Business Statistics
Rating
0.0 stars

The book "Introductory Business Statistics" by Thomas K. Tiemann explores the basic ideas behind statistics, such as populations, samples, the difference between data and information, and most importantly sampling distributions. The author covers topics including descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics. Using real-world examples throughout the text, the author hopes to help students understand how statistics works, not just how to "get the right number."

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Thomas K. Tiemann
Date Added:
12/02/2019
MoreLess
Introductory Business Statistics with Interactive Spreadsheets – 1st Canadian Edition
Unrestricted Use
CC BY
Introductory Business Statistics with Interactive Spreadsheets – 1st Canadian Edition
Rating
0.0 stars

Using Interactive Microsoft Excel Templates

Short Description:
Download FREE digital formats or read online.Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition is an adaptation of Thomas K. Tiemann's book, Introductory Business Statistics. In addition to covering basics such as populations, samples, the difference between data and information, and sampling distributions, descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics, the following information has been added: the chi-square test and categorical variables, null and alternative hypotheses for the test of independence, simple linear regression model, least squares method, coefficient of determination, confidence interval for the average of the dependent variable, and prediction interval for a specific value of the dependent variable. This new edition also allows readers to learn the basic and most commonly applied statistical techniques in business in an interactive way -- when using the web version -- through interactive Excel spreadsheets. All information has been revised to reflect Canadian content.

Long Description:
Introductory Business Statistics with Interactive Spreadsheets – 1st Canadian Edition is an adaptation of Thomas K. Tiemann’s book, Introductory Business Statistics. This new edition still contains the basic ideas behind statistics, such as populations, samples, the difference between data and information, and sampling distributions as well as information on descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics. New topics include the chi-square test and categorical variables, null and alternative hypotheses for the test of independence, simple linear regression model, least squares method, coefficient of determination, confidence interval for the average of the dependent variable, and prediction interval for a specific value of the dependent variable.

This new edition also allows readers to learn the basic and most commonly applied statistical techniques in business in an interactive way — when using the web version — through interactive Excel spreadsheets. For each topic, a customized interactive template has been created within which selected values can be repeatedly changed to observe how the entire process, as well as the outcomes, are automatically adjusted.

Also, in this adapted edition, the real-world examples throughout the text, and the information in general, have been revised to reflect Canadian content.

Word Count: 44902

ISBN: 978-1-998755-18-9

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Business and Communication
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
NSCC
Author:
Mohammad Mahbobi
Thomas K. Tiemann
Date Added:
01/01/2020
MoreLess
Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition
Unrestricted Use
CC BY
Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition
Rating
0.0 stars

"Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition" is an adaptation of Thomas K. Tiemann's book, "Introductory Business Statistics". In addition to covering basics such as populations, samples, the difference between data and information, and sampling distributions, descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics, the following information has been added: the chi-square test and categorical variables, null and alternative hypotheses for the test of independence, simple linear regression model, least squares method, coefficient of determination, confidence interval for the average of the dependent variable, and prediction interval for a specific value of the dependent variable. This new edition also allows readers to learn the basic and most commonly applied statistical techniques in business in an interactive way -- when using the web version -- through interactive Excel spreadsheets. All information has been revised to reflect Canadian content.

Subject:
Business and Communication
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Mohammad Mahbobi, Thompson Rivers University; Thomas K. Tiemann, Elon University
Date Added:
04/19/2016
MoreLess
Introductory Statistics
Unrestricted Use
CC BY
Introductory Statistics
Rating
0.0 stars

Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Barbara Ilowsky
Susan Dean
Date Added:
07/19/2013
MoreLess