Applied Combinatorics is an open-source textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics.
Applied Combinatorics began its life as a set of course notes we developed when Mitch was a TA for a larger than usual section of Tom’s MATH 3012: Applied Combinatorics course at Georgia Tech in Spring Semester 2006. Since then, the material has been greatly expanded and exercises have been added. The text has been in use for most MATH 3012 sections at Georgia Tech for several years now. Since the text has been available online for free, it has also been adopted at a number of other institutions for a wide variety of courses. In August 2016, we made the first release of Applied Combinatorics in HTML format, thanks to a conversion of the book’s source from LaTeX to MathBook XML. An inexpensive print-on-demand version is also available for purchase. Find out all about ways to get the book.

Since Fall 2016, Applied Combinatorics has been on the list of approved open textbooks from the American Institute of Mathematics.

This textbook provides a toolbox, a guidebook, and an instruction manual for researchers and interventionists who want to conceptualize and study applied problems from a developmental systems perspective, and for those who want to teach their graduate (or advanced undergraduate) students how to do this. It is designed to be useful to practitioners who focus on applied developmental problems, such as improving the important developmental contexts where people live, learn, and work, including the applied professions in education, social work, counseling, health care, community development, and business, all of which at their core are concerned with optimizing the development of their students, clients, patients, workers, citizens, and others whose lives they touch.

The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics.

To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs.

Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete.

The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words.

An Instructor's Guide is available to any instructor who uses the text.

Short Description:
This lab manual provides students with the theory, practical applications, objectives, and laboratory procedure of ten experiments. The manual also includes educational videos showing how student should run each experiment and a workbook for organizing data collected in the lab and preparing result tables and charts.

Long Description:
Basic engineering knowledge about fluid mechanics is required in various sectors of water resources engineering, such as designing hydraulic structure on any riverine environments and flood mitigation process. The objective of this book is to enable students to understand fundamental concepts in the field of fluid mechanics and apply those concepts in practice. Applied Fluid Mechanics Lab Manual is designed to enhance civil engineering students’ understanding and knowledge of experimental methods and basic principles of fluid mechanics. The ten experiments in this lab manual provide an overview of widely used terms and phenomena of fluid mechanics and open channel flow, which are required for solving engineering problems.

Word Count: 21988

ISBN: 978-1-64816-997-7

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Este libro está dirigido, principalmente, a Estudiantes y Docentes que quieren aprender a programar como forma de fortalecer sus capacidades cognoscitivas y así obtener un beneficio adicional de su computador para lograr un mejor provecho de sus estudios. Dada la orientación del libro respecto a programar para resolver problemas asociados a las Ciencias e Ingenierías, el requisito mínimo de matemáticas que hemos elegido para presentar el contenido del mismo se cubre, normalmente, en el tercer año del bachillerato. No obstante, el requisito no es obligatorio para leer el libro en su totalidad y adquirir los conocimientos de programación obviando el contenido matemático.

Marx, en 1884, define el término trabajo cooperativo como “múltiples individuos trabajando juntos de una manera planificada en un mismo proceso de producción o en procesos de producción diferentes pero conectados” [MAR84]. Por otro lado, se afirma que un trabajo cooperativo “está formado por procesos de trabajo relacionados. Cada proceso genera ciertas tareas a ser desarrolladas por los miembros del equipo de trabajo para el cumplimiento de los objetivos” [COR04]. Bannon y Schmidt establecen que hay muchas formas de trabajo cooperativo, por ejemplo: trabajo colaborativo, trabajo colectivo, trabajo coordinado, y trabajo de articulación [BAN89a].

In this lesson, students in this lesson will learn about, connect, and apply the use of the area to a real-world problem—creating a planting guide for the garden. Students will determine the square footage of the garden and use this information, along with a planting chart to create their own plan. Background for instructors:Math in the REAL world: Area and square feetSquare foot gardening is one way that ensures a vegetable garden bed can thrive. It is used to ensure not too many plants of a specific variety are planted in a single area. Using the square foot model keeps plants properly spaced, providing a perfect real-world context to teach area, apply multiplication strategies, and have students work collaboratively. Most garden beds are 8 x 4 resulting in 32 square feet to work with. It is possible however to have beds of different sizes. While 32 square feet to work with is what is used in this lesson, the methods and chart can be used for any rectangular planting area.

Square foot gardening is one way that ensures a vegetable garden bed can thrive. It is used to ensure not too many plants of a specific variety are planted in a single area. Using the square foot model keeps plants properly spaced, providing a perfect real-world context to teach area, apply multiplication strategies and have students work collaboratively. Most garden beds are 8 x 4 resulting in 32 square feet to work with. It is possible however to have beds of different sizes. While 32 square feet to work with is what is used in this lesson, the methods and chart can be used for any rectangular planting area.

There is a quote that has been passed down many years and is most recently accounted to P.T. Barnum, “There is a sucker born every minute.” Are you that sucker? If you were, would you like to be “reborn?” The goal of this book is to help you through that “birthing” process. Critical thinking and standing up for your ideas and making decisions are important in both your personal and professional life. How good are we at making the decision to marry? According to the Centers for Disease Control, there is one divorce in America every 36 seconds. That is nearly 2,400 every day. And professionally, the Wall Street Journal predicts the average person will have 7 careers in their lifetime. Critical thinking skills are crucial.

An Introduction to Critical Thinking

Short Description:
Arguments in Context is a comprehensive introduction to critical thinking that covers all the basics in student-friendly language. Intended for use in a semester-long course, the text features classroom-tested examples and exercises that have been chosen to emphasize the relevance and applicability of the subject to everyday life. Three themes are developed as the text proceeds from argument identification and analysis, to the standards and techniques of evaluation: (i) the importance of asking the right questions, (ii) the influence of biases, cognitive illusions, and other psychological factors, and (iii) the ways that social situations and structures can enhance and impoverish our thinking. On this last point, the text includes sustained discussion of disagreement, cooperative dialogue, testimony, trust, and social media. Overall, the text aims to equip readers with a set of tools for working through important decisions and disagreements, and to help them become more careful and active thinkers.

Long Description:
Arguments in Context is a comprehensive introduction to critical thinking that covers all the basics in student-friendly language. Intended for use in a semester-long course, the text features classroom-tested examples and exercises that have been chosen to emphasize the relevance and applicability of the subject to everyday life. Three themes are developed as the text proceeds from argument identification and analysis, to the standards and techniques of evaluation: (i) the importance of asking the right questions, (ii) the influence of biases, cognitive illusions, and other psychological factors, and (iii) the ways that social situations and structures can enhance and impoverish our thinking. On this last point, the text includes sustained discussion of disagreement, cooperative dialogue, testimony, trust, and social media. Overall, the text aims to equip readers with a set of tools for working through important decisions and disagreements, and to help them become more careful and active thinkers.

Word Count: 96327

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The students will use their knowledge of repeated addition to determine the total number of objects in equal groups.

Students learn more about how muscles work and how biomedical engineers can help keep the muscular system healthy. Following the engineering design process, they create their own biomedical device to aid in the recovery of a strained bicep. They discover the importance of rest to muscle recovery and that muscles (just like engineers!) work together to achieve a common goal.

Courses on Artificial Intelligence (AI) and Librarianship in ALA-accredited Masters of Library and Information (MLIS) degrees are rare. We have all been surprised by ChatGPT and similar Large Language Models. Generative AI is an important new area for librarianship. It is also developing so rapidly that no one can really keep up. Those trying to produce AI courses for the MLIS degree need all the help they can get. This book is a gesture of support. It consists of about 95,000 words on the topic, with a 3-400 item bibliography.

Anthropology is the study of all humans in all times in all places. But it is so much more than that. “Anthropology requires strength, valor, and courage,” Nancy Scheper-Hughes noted. “Pierre Bourdieu called anthropology a combat sport, an extreme sport as well as a tough and rigorous discipline. … It teaches students not to be afraid of getting one’s hands dirty, to get down in the dirt, and to commit yourself, body and mind. Susan Sontag called anthropology a “heroic” profession.” What is the payoff for this heroic journey? You will find ideas that can carry you across rivers of doubt and over mountains of fear to find the the light and life of places forgotten. Real anthropology cannot be contained in a book. You have to go out and feel the world’s jagged edges, wipe its dust from your brow, and at times, leave your blood in its soil. In this unique book, Dr. Michael Wesch shares many of his own adventures of being an anthropologist and what the science of human beings can tell us about the art of being human. This special first draft edition is a loose framework for more and more complete future chapters and writings. It serves as a companion to anth101.com, a free and open resource for instructors of cultural anthropology.

Word Count: 10612

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Astronomy for Educators provides new and accomplished K-12 instructors with concepts and projects for low-cost, high-impact STEM classroom instruction that is built around the National Academies National Research Council's K-12 Framework for Science Education.

The activities in this cookbook draw on research and good practice in online course design to provide recipes - concise and specific instructions and examples - for adding asynchronous activities to a course. Meaningful interaction between students and instructors is a key ingredient in all of these recipes.

A Critical Introduction to U.S. Government and Politics

Word Count: 243127

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Students will identify and compare attributes of two-dimensional shapes in the world around them.