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Active Calculus Multivariable

Contributors: Schlicker, Austin, and Boelkins

Publisher: Grand Valley State University

License: CC BY-NC-SA

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

(1 review)

Trigonometry

Contributors: Sundstrom and Schlicker

Publisher: Grand Valley State University

License: CC BY-NC-SA

This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged.

(2 reviews)

Introduction to Linear, Time-Invariant, Dynamic Systems for Students of Engineering

Contributor: Hallauer

Publisher: A.T. Still University

License: CC BY-NC

This is a complete college textbook, including a detailed Table of Contents, seventeen Chapters (each with a set of relevant homework problems), a list of References, two Appendices, and a detailed Index. The book is intended to enable students to:

(3 reviews)

Variational Principles in Classical Mechanics - Revised Second Edition

Contributor: Cline

Publisher: University of Rochester River Campus Libraries

License: CC BY-NC-SA

Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th – 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.

(1 review)

Fundamental Methods of Logic

Contributor: Knachel

Publisher: A.T. Still University

License: CC BY

Fundamental Methods of Logic is suitable for a one-semester introduction to logic/critical reasoning course. It covers a variety of topics at an introductory level. Chapter One introduces basic notions, such as arguments and explanations, validity and soundness, deductive and inductive reasoning; it also covers basic analytical techniques, such as distinguishing premises from conclusions and diagramming arguments. Chapter Two discusses informal logical fallacies. Chapters Three and Four concern deductive logic, introducing the basics of Aristotelian and Sentential Logic, respectively. Chapter Five deals with analogical and causal reasoning, including a discussion of Mill's Methods. Chapter Six covers basic probability calculations, Bayesian inference, fundamental statistical concepts and techniques, and common statistical fallacies.

(3 reviews)

Greek and Latin Roots: Part II - Greek

Contributor: Smith

Publisher: BCcampus

License: CC BY

Greek and Latin Roots: Part II - Greek is part two of a two part series. This series examines the systematic principles by which a large portion of English vocabulary has evolved from Latin and (to a lesser degree) from Greek. This book focuses on Greek roots. A link to the first part focusing on the Latin roots can be found below. Part II will try to impart some skill in the recognition and proper use of words derived from Greek. There is a stress on principles: although students will be continually looking at interesting individual words, their constant aim will be to discover predictable general patterns of historical development, so that they may be able to cope with new and unfamiliar words of any type that they have studied. They will be shown how to approach the problem by a procedure known as “word analysis,” which is roughly comparable to the dissection of an interesting specimen in the biology laboratory. The text assumes no previous knowledge of Greek, and does not involve the grammatical study of this language—except for a few basic features of noun and verb formation that will help students to understand the Greek legacy in English. All students will be asked to learn the Greek alphabet. This skill is not absolutely essential for a general knowledge of Greek roots in English. However, it will help students understand a number of otherwise puzzling features of spelling and usage. Although there will be some attention paid to the historical interaction of Greek with English, this text is definitely not a systematic history of the English language. It focuses on only those elements within English that have been directly or indirectly affected by this classical language. In order to provide the broadest possible service to students, the text emphasizes standard English vocabulary in current use. The more exotic technical vocabulary of science and medicine can be extremely interesting, but is explored in only summary fashion. Nevertheless, this text should be of considerable value, say, to a would-be botanist or medical doctor, if only by providing the foundation for further specialized enquiry.

No ratings

(0 reviews)

Entrepreneurship and Innovation Toolkit

Contributor: Swanson

Publisher: OPENPRESS.USASK.CA

License: CC BY-SA

This book is designed for upper year undergraduate students and graduate students studying fundamental entrepreneurship concepts.

(9 reviews)

Combinatorics - Version 2.1

Contributor: Morris

Publisher: Joy Morris

License: CC BY-NC-SA

Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory.

No ratings

(0 reviews)

Business Plan Development Guide

Contributor: Swanson

Publisher: OPENPRESS.USASK.CA

License: CC BY-SA

This textbook and its accompanying spreadsheet templates were designed with and for students wanting a practical and easy-to-follow guide for developing a business plan. It follows a unique format that both explains what to do and demonstrates how to do it.

(6 reviews)

The History of Our Tribe: Hominini

Contributor: Welker

Publisher: Open SUNY

License: CC BY-NC-SA

Where did we come from? What were our ancestors like? Why do we differ from other animals? How do scientists trace and construct our evolutionary history? The History of Our Tribe: Hominini provides answers to these questions and more. The book explores the field of paleoanthropology past and present. Beginning over 65 million years ago, Welker traces the evolution of our species, the environments and selective forces that shaped our ancestors, their physical and cultural adaptations, and the people and places involved with their discovery and study. It is designed as a textbook for a course on Human Evolution but can also serve as an introductory text for relevant sections of courses in Biological or General Anthropology or general interest. It is both a comprehensive technical reference for relevant terms, theories, methods, and species and an overview of the people, places, and discoveries that have imbued paleoanthropology with such fascination, romance, and mystery.

(7 reviews)