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Precalculus

Contributors: Tradler and Carley

Publisher: CUNY Academic Works

License: CC BY-NC-SA

These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems. This course in precalculus has the overarching theme of “functions.” This means that many of the often more algebraic topics studied in the previous courses are revisited under this new function theoretic point of view. However, in order to keep this text as self contained as possible we always recall all results that are necessary to follow the core of the course even if we assume that the student has familiarity with the formula or topic at hand. After a first introduction to the abstract notion of a function, we study polynomials, rational functions, exponential functions, logarithmic functions, and trigonometric functions with the function viewpoint. Throughout, we will always place particular importance to the corresponding graph of the discussed function which will be analyzed with the help of the TI-84 calculator as mentioned above. These are in fact the topics of the first four (of the five) parts of this precalculus course. In the fifth and last part of the book, we deviate from the above theme and collect more algebraically oriented topics that will be needed in calculus or other advanced mathematics courses or even other science courses. This part includes a discussion of the algebra of complex numbers (in particular complex numbers in polar form), the 2-dimensional real vector space R 2 sequences and series with focus on the arithmetic and geometric series (which are again examples of functions, though this is not emphasized), and finally the generalized binomial theorem.

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Spatial Thinking in Planning Practice: An Introduction to GIS

Contributors: Fang, Shandas, and Cordero

Publisher: Portland State University Library

License: CC BY-NC

The goals of this textbook are to help students acquire the technical skills of using software and managing a database, and develop research skills of collecting data, analyzing information and presenting results. We emphasize that the need to investigate the potential and practicality of GIS technologies in a typical planning setting and evaluate its possible applications. GIS may not be necessary (or useful) for every planning application, and we anticipate these readings to provide the necessary foundation for discerning its appropriate use. Therefore, this textbook attempts to facilitate spatial thinking focusing more on open-ended planning questions, which require judgment and exploration, while developing the analytical capacity for understanding a variety of local and regional planning challenges.

(9 reviews)

Introduction to Human Osteology

Contributors: Hall, Beals, Neumann, Neumann, and Madden

Publisher: Grand Valley State University

License: CC BY-NC

This text was designed for use in the human osteology laboratory classroom. Bones are described to aid in identification of skeletonized remains in either an archaeological or forensic anthropology setting. Basic techniques for siding, aging, sexing, and stature estimation are described. Both images of bone and drawings are included which may be used for study purposes outside of the classroom. The text represents work that has been developed over more than 30 years by its various authors and is meant to present students with the basic analytical tools for the study of human osteology.

(8 reviews)

Java, Java, Java: Object-Oriented Problem Solving

Contributors: Morelli and Walde

Publisher: Ralph Morelli, Ralph Walde

License: CC BY

We have designed this third edition of Java, Java, Java to be suitable for a typical Introduction to Computer Science (CS1) course or for a slightly more advanced Java as a Second Language course. This edition retains the “objects first” approach to programming and problem solving that was characteristic of the first two editions. Throughout the text we emphasize careful coverage of Java language features, introductory programming concepts, and object-oriented design principles.

(4 reviews)

The Missing Link: An Introduction to Web Development and Programming

Contributor: Mendez

Publisher: Open SUNY

License: CC BY-NC-SA

Web development is an evolving amalgamation of languages that work in concert to receive, modify, and deliver information between parties using the Internet as a mechanism of delivery. While it is easy to describe conceptually, implementation is accompanied by an overwhelming variety of languages, platforms, templates, frameworks, guidelines, and standards. Navigating a project from concept to completion often requires more than mastery of one or two complementing languages, meaning today's developers need both breadth, and depth, of knowledge to be effective.

(8 reviews)

Combinatorics Through Guided Discovery

Contributor: Bogart

Publisher: Kenneth P. Bogart

License: Free Documentation License (GNU)

This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.

(1 review)

Precalculus

Contributors: Collingwood, Prince, and Conroy

Publisher: A.T. Still University

License: Free Documentation License (GNU)

Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind:

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Educational Psychology - Second Edition

Contributors: Seifert and Sutton

Publisher: University of Manitoba

License: CC BY

Chapters in the text can be assigned either from beginning to end, as with a conventional printed book, or they can be selected in some other sequence to meet the needs of particular students or classes. In general the first half of the book focuses on broader questions and principles taken from psychology per se, and the second half focuses on somewhat more practical issues of teaching. But the division between “theory” and “practice” is only approximate; all parts of the book draw on research, theory, and practical wisdom wherever appropriate. Chapter 2 is about learning theory, and Chapter 3 is about development; but as we point out, these topics overlap with each other as well as with the concerns of daily teaching. Chapter 4 is about several forms of student diversity (what might be called individual differences in another context), and Chapter 5 is about one form of diversity that has become prominent in schools recently—students with disabilities. Chapter 6 is about motivation, a topic that is heavily studied by psychological researchers, but that also poses perennial challenges to classroom teachers.

(18 reviews)

Human Relations

Contributor: Dias

Publisher: Saylor Foundation

License: CC BY-NC-SA

Human Relations by Laura Portolese-Dias addresses all of the critical topics to obtain career success as they relate to professional relationships.

(16 reviews)

Government Regulation and the Legal Environment of Business

Contributors: Mayer, Warner, Siedel, and Lieberman

Publisher: Saylor Foundation

License: CC BY-NC-SA

Mayer, Warner, Siedel and Lieberman's Government Regulation and the Legal Environment of Business is an up-to-date textbook that covers legal issues that students must understand in today's highly regulated business environment. The text is organized to permit instructors to tailor the materials to their particular approach. The authors take special care to engage students by relating law to everyday events with their clear, concise and readable style.

(1 review)