Search results for "math"

Elementary Abstract Algebra: Examples and Applications

Contributors: Hill and Thron

Publisher: Justin Hill and Chris Thron

License: CC BY-NC-SA

This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.

(2 reviews)

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)

A Quick Guide to Quantitative Research in the Social Sciences

Contributor: Davies

Publisher: University of Wales Trinity Saint David

License: CC BY-NC

This resource is intended as an easy-to-use guide for anyone who needs some quick and simple advice on quantitative aspects of research in social sciences, covering subjects such as education, sociology, business, nursing. If you area qualitative researcher who needs to venture into the world of numbers, or a student instructed to undertake a quantitative research project despite a hatred for maths, then this booklet should be a real help.

(9 reviews)

Introduction to Curriculum for Early Childhood Education

Contributors: Paris, Beeve, and Springer

Publisher: College of the Canyons

License: CC BY

Welcome to learning about how to effectively plan curriculum for young children. This textbook will address:

(16 reviews)

Introduction to Game Theory: a Discovery Approach

Contributor: Nordstrom

Publisher: Jennifer Firkins Nordstrom

License: CC BY-SA

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.

(4 reviews)

Soils Laboratory Manual - K-State Edition

Contributors: Moorberg and Crouse

Publisher: New Prairie Press

License: CC BY

The Soils Laboratory Manual, K-State Edition is designed for students in undergraduate, introductory soil science courses, and highlights the many aspects of soil science, including: soil genesis and classification, soil physical properties, soil-water interaction, soil biology, soil chemistry, and soil fertility. The lab manual includes 15 different laboratories, each one starting with an introduction and pre-lab assignment, followed by in-lab activities, and complimented by post-lab assignment. In-lab activities involve field trips, experiments, observation stations, or problem sets. Post-lab assignments include online quizzes, problem sets, or laboratory summary reports.

(2 reviews)

Sharing Our Knowledge: Best Practices for Supporting English Language Learners in Schools

Contributor: Prokopchuk

Publisher: OPENPRESS.USASK.CA

License: CC BY

To complete the course ECUR 415.3: Current Issues in EAL, students are required to submit a final paper that reflects their growing knowledge about English as an Additional Language (EAL). EAL is the term used in Saskatchewan to describe students who speak languages other than English and require adequate levels of English to be successful with the school curriculum.

(7 reviews)

Multivariable Calculus

Contributor: Shimamoto

Publisher: Don Shimamoto

License: CC BY

This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required.

(1 review)

The American Yawp Vol. II: Since 1877

Contributors: Locke and Wright

Publisher: Stanford University Press

License: CC BY-SA

In an increasingly digital world in which pedagogical trends are de-emphasizing rote learning and professors are increasingly turning toward active-learning exercises, scholars are fleeing traditional textbooks. Yet for those that still yearn for the safe tether of a synthetic text, as either narrative backbone or occasional reference material, The American Yawp offers a free and online, collaboratively built, open American history textbook designed for college-level history courses. Unchecked by profit motives or business models, and free from for-profit educational organizations, The American Yawp is by scholars, for scholars. All contributors—experienced college-level instructors—volunteer their expertise to help democratize the American past for twenty-first century classrooms.

(8 reviews)

Quantitative Problem Solving in Natural Resources

Contributor: Moore

Publisher: Iowa State University

License: CC BY-SA

This text is intended to support courses that bridge the divide between mathematics typically encountered in U.S. high school curricula and the practical problems that natural resource students might engage with in their disciplinary coursework and professional internships.

(1 review)