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Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
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e-book
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.
- Subjects:
- Laboratory Techniques and Safety and Physics
- Keywords:
- Fluid mechanics Fluid dynamics Laboratory manuals Textbooks Hydraulic machinery
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- e-book
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e-book
This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired. In addition to an introduction to the essential features of basic probability in terms of a precise mathematical model, the work describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability. This should make the work useful as a stand-alone exposition as well as a supplement to any of several current textbooks. Most of the programs developed here were written in earlier versions of MATLAB, but have been revised slightly to make them quite compatible with MATLAB 7. In a few cases, alternate implementations are available in the Statistics Toolbox, but are implemented here directly from the basic MATLAB program, so that students need only that program (and the symbolic mathematics toolbox, if they desire its aid in evaluating integrals). Since machine methods require precise formulation of problems in appropriate mathematical form, it is necessary to provide some supplementary analytical material, principally the so-called minterm analysis. This material is not only important for computational purposes, but is also useful in displaying some of the structure of the relationships among events.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Probabilities MATLAB Textbooks
- Resource Type:
- e-book
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e-book
Astronomy is designed to meet the scope and sequence requirements of one- or two-semester introductory astronomy courses. The book begins with relevant scientific fundamentals and progresses through an exploration of the solar system, stars, galaxies and cosmology. The Astronomy textbook builds student understanding through the use of relevant analogies, clear and non-technical explanations, and rich illustrations. Mathematics is included in a flexible manner to meet the needs of individual instructors.
- Subjects:
- Cosmology and Astronomy
- Keywords:
- Textbooks Astronomy
- Resource Type:
- e-book
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e-book
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.
- Subjects:
- Cosmology and Astronomy
- Keywords:
- Textbooks Astronomy
- Resource Type:
- e-book
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e-book
This free online textbook (e-book in webspeak) is a one semester course in basic analysis. This book started its life as my lecture notes for Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in the fall semester of 2009, and was later enhanced to teach Math 521 at University of Wisconsin-Madison (UW-Madison). A prerequisite for the course is a basic proof course. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a first semester of a more advanced course that also covers topics such as metric spaces.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Functions of real variables Mathematical analysis Textbooks
- Resource Type:
- e-book
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e-book
A grasp of the logic and practice of science is essential to understand the rest of the world around us. To that end, the CMB3e iText (like earlier editions) remains focused on experimental support for what we know about cell and molecular biology, and on showing students the relationship of cell structure and function. Rather than trying to be a comprehensive reference book, CMB3e selectively details investigative questions, methods and experiments that lead to our understanding of cell biology. This focus is nowhere more obvious than in the chapter learning objectives and in external links to supplementary material. The Basic CMB3e version of the iText includes links to external web-sources as well as the author’s short, just-in-time YouTube VOPs (with edited, optional closed captions), all embedded in or near relevant text. Each video is identified with a descriptive title and video play and QR bar codes. The Learning objectives align with content and ask students to use new knowledge to make connections and deepen their understanding of concept and experiment. All external links are intended to expand or explain textual content and concepts and to engage student curiosity. Links to full VOP lectures are now at the back of the book. include optional edited closed captions. All images in the iText are by the author or are from public domain or Creative Commons (CC) licensed sources. For all externally sourced images, CC licenses are indicated with the image. Beyond the Basic CMB3e, the freely available Annotated CMB3e contains interactive links and formative assessments in the form of Challenge boxes. A CMB3e Sample Chapter and CMB3e iText for Instructors model additional interactive features, including short 25 Words or Less writing assignments that can be incorporated into almost any course management system, and all of which the author assigned as homework in his flipped, blended course. These assessments aim to reinforce writing as well as critical thinking skills. The CMB3e Sample Chapter is freely available for download; the CMB3e for Instructors version of the iText is available on request. My goal in writing this iText is to make the content engaging, free and comparable in accuracy and currency to commercial textbooks. I encourage instructors to use the interactive features of the iText (critical thought questions, YouTube videos, etc.) to challenge their students. With all of these enhancements, I encourage students to think about • how good and great experiments were inspired and designed, • how alternative experimental results were predicted, • how data was interpreted, and finally, • investigators (and we!) arrive at the most interesting “next questions”. The online iText is the most efficient way to access links and complete online assignments. Nevertheless, you can download, read, study, and access many links with a smart phone or tablet. And you can add your own annotations digitally, or write in the margins of a printout the old-fashioned way! Your instructor may provide additional instructions for using your iText.
- Subjects:
- Biology
- Keywords:
- Textbooks Cytology Molecular biology
- Resource Type:
- e-book
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e-book
"This is a course in undergraduate real analysis, also known as advanced calculus. The book works for both basic courses for students who do not necessarily wish to go to graduate school and also more advanced courses that prepare students for graduate study and cover topics such as metric spaces. A prerequisite for the course is a basic proof course. This book starts with analysis on the real line, going through sequences, series, and then into continuity, the derivative, and the Riemann integral using the Darboux approach. There are plenty of available detours along the way, or you can power through toward the metric spaces in chapter 7. The philosophy is that metric spaces are absorbed much better by the students after they have gotten comfortable with basic analysis techniques in the very concrete setting of the real line. As a bonus, the book can be used both by slower-paced, more concrete courses, as well as a faster-paced, more abstract courses for future graduate students"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Functions of real variables Mathematical analysis
- Resource Type:
- e-book
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e-book
"This book is a continuation of Basic Analysis: Introduction to Real Analysis - Volume 1. Volume II continues into multivariable analysis, starting with differential calculus, including inverse and implicit function theorems, continuing with differentiation under the integral and path integrals, which are often not covered in a course like this, and multivariable Riemann integral. Finally, there is also a chapter on power series, Arzelà-Ascoli, Stone-Weierstrass, and Fourier series. Together, the two volumes provide enough material for several different types of year-long sequences. A student who absorbs the first volume and the first three chapters of volume II should be more than prepared for real and complex analysis courses at the graduate level"--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Functions of real variables Mathematical analysis
- Resource Type:
- e-book
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e-book
Climate change is an urgent problem. Because it is causing new weather extremes and fatal catastrophes, climate change is better termed climate disruption. Bending the curve to flatten the upward trajectory of pollution emissions responsible for climate disruption is essential in order to protect billions of people from this global threat. Education is a key part of the solution. This textbook book lays out ten solutions that together can bend the curve of climate warming below dangerous levels. These solutions fall into six categories: science, societal transformation, governance, economics, technology, and ecosystem management. Four themes emerge from the book: * There is still time to bend the curve. The time to act was yesterday, but if proper actions are taken now, there is still time to avoid disastrous changes. We have to pull on three levers: The carbon lever to achieve zero net emissions of carbon dioxide before 2050; the short-lived climate pollutants lever to drastically reduce concentrations of other major climate pollutants; and the atmospheric carbon extraction lever to remove massive amounts of carbon dioxide from the atmosphere. * Bending the curve will require interdisciplinary solutions. Climate change requires integrating approaches from the natural sciences, social sciences, and humanities, so this textbook—unlike most on climate change solutions—does just that, with chapters written by experts in climate science, social justice, economics, environmental policy, political science, energy technologies, ecology, and religion. Bending the curve also requires preservation and restoration of ecological systems. * Bending the curve requires a radical shift in attitude. This shift requires change in behavior, change in our attitudes towards each other, and change in our attitude towards nature. Climate justice has to be an integral part of the solution. * Technology, market mechanism and policy need to be a part of the solution. New market mechanisms and other policies are required to spur technological innovations and to scale clean technologies globally. There are ancillary materials available for this book. List of Authors: Ramanathan, VeerabhadranAines, RogerAuffhammer, MaxBarth, MattCole, JonathanForman, FonnaHan, HahrieJacobsen, MarkPellow, DavidPezzoli, KeithPress, DanielRignot, EricSamuelsen, ScottSilver, WhendeeSolomon, GinaSomerville, RichardTucker, Mary EvelynVictor, DavidZaelke, DurwoodScott Friese
- Subjects:
- Chemistry
- Keywords:
- Climate change mitigation Textbooks Climatic changes
- Resource Type:
- e-book