It's an infograph vocalising the use of polymers in space based on verified research done.
15.875 is a project-based course that explores how organizations can use system dynamics to achieve important goals. In small groups, students learn modeling and consulting skills by working on a term-long project with real-life managers. A diverse set of businesses and organizations sponsor class projects, from start-ups to the Fortune 500. The course focuses on gaining practical insight from the system dynamics process, and appeals to people interested in system dynamics, consulting, or managerial policy-making.
Does the real-world application of science depend on mathematics? In this activity, students answer this question as they experience a real-world application of systems of equations. Given a system of linear equations that mathematically models a specific circuit—students start by solving a system of three equations for the currents. After becoming familiar with the parts of a breadboard, groups use a breadboard, resistors and jumper wires to each build the same (physical) electric circuit from the provided circuit diagram. Then they use voltmeters to measure the current flow across each resistor and calculate the current using Ohm’s law. They compare the mathematically derived current values to the measured values, and calculate the percentage difference of their results. This leads students to conclude that real-world applications of science do indeed depend on mathematics! Students make posters to communicate their results and conclusions. A pre/post-activity quiz and student worksheet are provided. Adjustable for math- or science-focused classrooms.
This lab exercise provides students with activities utilizing vector operations within the context of the atmospheric and oceanic environments.
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The current edition of the book may be downloaded from the Applied Bioinformatics site. Traffic analytics interactive report
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An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus. This book is heavily remixed from Dale Hoffman's Contemporary Calculus textbook, and retains the same conceptual focus from that text.
Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.
The textbook is written as a series of Quarto Documents in RStudio and is aimed both as an educational resource on the topic of categorical data analysis and as an aid to the use of the R language for statistical computing. The rendered textbook is interactive with tasks and solution as well as a series of lab questions at the end of each chapter. It also includes OER resources for various introductory math and statistics courses.
Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this course, we will give seven sketches on real-world applications of category theory.
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 resource is intended for biomechanics evaluation. It may be disseminated in any number of ways, including blackboard, canvas, or through print. Required materials:Computer; Kinovea download (free ware); Markers for analysis; Iphone or camcorder with tripod; squat bar, with or without weight.All authors: Dr. Jennifer J. Brown1, Dr. Resa Chandler2, Dr. Vanessa Fiaud3, and Dr. Cortney Armitano-Lago4Acknowledgements: Keeley Weber1, Kali Flanigan1, Naomi Lockamy1, Sierra Dietrich2, Brooklyn Lester2Elizabeth City State University1, Western Carolina University2, West Texas A&M University3, and UNC School of Medicine, Thurston Arthritis Research Center4
This resource is intended for biomechanics evaluation. It may be disseminated in any number of ways, including blackboard, canvas, or through print. Required materials:Desktop/laptop computer; Kinovea download (free ware); Markers for analysis; Iphone or camcorder with tripod; Vertec or adapt to s. jump test All authors: Dr. Jennifer J. Brown1, Dr. Resa Chandler2, Dr. Vanessa Fiaud3, and Dr. Cortney Armitano-Lago4 Acknowledgements: Keeley Weber1, Kali Flanigan1, Naomi Lockamy1, Sierra Dietrich2, Brooklyn Lester2 Elizabeth City State University1, Western Carolina University2, West Texas A&M University3, and UNC School of Medicine, Thurston Arthritis Research Center4
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.
In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach andmove them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked.
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.
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.
Best open source book in Discrete Math. Covers all the subjects in a standard Discrete Math class for mathematics or computer science students and contains sage cells for all subjects. Set Theory, Combinatorics, Logic, Relations, Recursion, Graph Theory, Trees, Algebraic Structures, Boolean Algebras, Automata, etc. Originally published commercially, its original text was peer-reviewed and was adopted for use at several universities throughout the country. Now in its open source version, has the same quality but it is free.
Applied ecology is a framework for the application of knowledge about ecosystems so that actions can be taken to create a better balance and harmony between people and nature in order to reduce human impact on other beings and their habitats.
About this book
Origin story
I (Erin) began this book project after participating in the Open Pedagogy Incubator hosted by the NC State University Libraries in 2020, with the goal of making my course materials – and information about Applied Ecology – more broadly accessible to students, educators, and the general public. Rather than impose my sole voice, perspective, and biases, I restructured my course assignments to enable student creation of the content you will encounter in this book. The assignments are open-ended and open-world, motivating students to collaborate with each other and to seek knowledge beyond the classroom, and thus embody core characteristics of the discipline of Applied Ecology as well as Open Education and Universal Design for Learning. I hope that by centering student voices and by highlighting diverse scientists, research systems and ecosystems, this work empowers the reader and highlights the relevance of Applied Ecology in our everyday lives.
Intended use
This book is formatted to provide information about key ecological principles, concepts, and processes, explored and applied across various contexts. The text can be used as a foundational or supplementary text for ecology courses, or as a standalone reference for students in formal academic settings or beyond.
The Vocabulary terms at the beginning of each chapter are listed in the order that students will encounter them while reading the blog-style summary for that chapter. The Glossary lists all terms in the entire book in alphabetical order, for quick reference as needed.
We have provided an appendix with skeletal outlines that students can use to guide their notetaking. I also intend to compile a companion volume for educators, containing templates for each assignment used to guide the student works presented here.
Accessibility
We use sans-serif fonts to facilitate readability in digital format and by readers who are neurodivergent. We also support screen readership through alt-text images.
This course covers empirical strategies for applied micro research questions. Our agenda includes regression and matching, instrumental variables, differences-in-differences, regression discontinuity designs, standard errors, and a module consisting of 8–9 lectures on the analysis of high-dimensional data sets a.k.a. “Big Data”.
The fact of scarcity forces individuals, firms, and societies to choose among alternative uses – or allocations – of its limited resources. Accordingly, the first part of this summer course seeks to understand how economists model the choice process of individual consumers and firms, and how markets work to coordinate these choices. It also examines how well markets perform this function using the economist’s criterion of market efficiency.
Overall, this course focuses on microeconomics, with some topics from macroeconomics and international trade. It emphasizes the integration of theory, data, and judgment in the analysis of corporate decisions and public policy, and in the assessment of changing U.S. and international business environments.