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Intermediate Statistics with R

Contributor: Greenwood

Publisher: Montana State University

License: CC BY-NC

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.

(2 reviews)

Introduction to Statistical Thinking

Contributor: Yakir

Publisher: Benjamin Yakir

License: CC BY

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.

(1 review)

Informal Calculus with Applications to Biological and Environmental Sciences

Contributors: Seacrest, Seacrest, Levine, and Anderson

Publisher: TRAILS

License: CC BY

This book is an approachable introduction to calculus with applications to biology and environmental science. For example, one application in the book is determining the volume of earth moved in the 1959 earthquake that created Quake Lake. Another application uses differential equations to model various biological examples, including moose and wolf populations at Isle Royale National Park, ranavirus in amphibians, and competing species of protozoa. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.

(2 reviews)

PSYC 2200: Elementary Statistics for the Behavioral and Social Sciences

Contributor: Oja

Publisher: LibreTexts

License: CC BY-SA

Welcome to behavioral statistics, a statistics textbook for social science majors!

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(0 reviews)

Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences

Contributors: Belevan, Hamidi, Malhotra, and Yeager

Publisher: Bruno Belevan, Parham Hamidi, Nisha Malhotra, and Elyse Yeager

License: CC BY-NC-SA

Optimal, Integral, Likely is a free, open-source textbook intended for UBC’s course MATH 105: Integral Calculus with Applications to Commerce and Social Sciences. It is shared under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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(0 reviews)

Measure, Integration & Real Analysis

Contributor: Axler

Publisher: Sheldon Axler

License: CC BY-NC

This book seeks to provide students with a deep understanding of the definitions, examples, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.

(1 review)

Technical Mathematics

Contributor: Chase

Publisher: Open Oregon Educational Resources

License: CC BY-NC-SA

This developmental-level mathematics textbook is intended for career-technical students.

(5 reviews)

Elementary Calculus

Contributor: Corral

Publisher: Michael Corral

License: Free Documentation License (GNU)

This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

(1 review)

Math in Society: Mathematics for liberal arts majors

Contributor: Lee

Publisher: Portland Community College Math Department

License: CC BY-SA

We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.

(3 reviews)

Extra pearls in graph theory

Contributor: Petrunin

Publisher: Anton Petrunin

License: CC BY-SA

I used these topics together with the textbook "Pearls in graph theory" to teach an undergraduate course in graph theory at the Pennsylvania State University. I tried to keep clarity and simplicity on the same level.

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(0 reviews)