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ap physics 1 mit workbook: Street-Fighting Mathematics Sanjoy Mahajan, 2010-03-05 An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. |
ap physics 1 mit workbook: College Physics for AP® Courses Irna Lyublinskaya, Douglas Ingram, Gregg Wolfe, Roger Hinrichs, Kim Dirks, Liza Pujji, Manjula Devi Sharma, Sudhi Oberoi, Nathan Czuba, Julie Kretchman, John Stoke, David Anderson, Erika Gasper, 2015-07-31 This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. ... This online, fully editable and customizable title includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems.--Website of book. |
ap physics 1 mit workbook: Vibrations and Waves A.P. French, 2017-12-21 The M.I.T. Introductory Physics Series is the result of a program of careful study, planning, and development that began in 1960. The Education Research Center at the Massachusetts Institute of Technology (formerly the Science Teaching Center) was established to study the process of instruction, aids thereto, and the learning process itself, with special reference to science teaching at the university level. Generous support from a number of foundations provided the means for assembling and maintaining an experienced staff to co-operate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning careers in the sciences. After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken. |
ap physics 1 mit workbook: Princeton Review AP Physics 1 Premium Prep 2022 The Princeton Review, 2021-08 PREMIUM PRACTICE FOR A PERFECT 5! Ace the AP Physics 1 Exam with this Premium version of The Princeton Review's comprehensive study guide. Includes 5 full-length practice exams, plus thorough content reviews, targeted test strategies, and access to online extras. Techniques That Actually Work. * Tried-and-true strategies to help you avoid traps and beat the test * Tips for pacing yourself and guessing logically * Essential tactics to help you work smarter, not harder Everything You Need to Know to Help Achieve a High Score. * Fully aligned with the latest College Board standards for AP® Physics 1 * Comprehensive coverage of kinematics, dynamics, Newton's laws, work, energy, rotational motion, electrostatics, DC circuits, mechanical waves, sound, and more * Tons of charts and figures to illustrate concepts * Access to study plans, a handy list of formulas, helpful pre-college information, and more via your online Student Tools Premium Practice for AP Excellence. * 5 full-length practice tests (4 in the book, 1 online) with detailed answer explanations * Practice drills at the end of each content review chapter * Step-by-step walk-throughs of sample questions |
ap physics 1 mit workbook: Princeton Review AP Physics 1 Premium Prep 2021 The Princeton Review, 2020-08 PREMIUM PRACTICE FOR A PERFECT 5 Ace the AP Physics 1 Exam with this Premium version of The Princeton Review's comprehensive study guide. Includes 5 full-length practice exams, plus thorough content reviews, targeted test strategies, and access to online extras. Techniques That Actually Work. - Tried-and-true strategies to help you avoid traps and beat the test - Tips for pacing yourself and guessing logically - Essential tactics to help you work smarter, not harder Everything You Need to Know to Help Achieve a High Score. - Comprehensive coverage of kinematics, dynamics, Newton's laws, work, energy, rotational motion, electrostatics, DC circuits, mechanical waves, sound, and more - Up-to-date information on the 2021 course & exam - Tons of charts and figures to illustrate concepts - Access to study plans, a handy list of formulas, helpful pre-college information, and more via your online Student Tools Premium Practice for AP Excellence. - 4 full-length practice tests in the book with detailed answer explanations - 1 full-length practice test online with detailed answer explanations - Practice drills at the end of each content review chapter - Step-by-step walk-throughs of sample questions |
ap physics 1 mit workbook: Engineering a Safer World Nancy G. Leveson, 2012-01-13 A new approach to safety, based on systems thinking, that is more effective, less costly, and easier to use than current techniques. Engineering has experienced a technological revolution, but the basic engineering techniques applied in safety and reliability engineering, created in a simpler, analog world, have changed very little over the years. In this groundbreaking book, Nancy Leveson proposes a new approach to safety—more suited to today's complex, sociotechnical, software-intensive world—based on modern systems thinking and systems theory. Revisiting and updating ideas pioneered by 1950s aerospace engineers in their System Safety concept, and testing her new model extensively on real-world examples, Leveson has created a new approach to safety that is more effective, less expensive, and easier to use than current techniques. Arguing that traditional models of causality are inadequate, Leveson presents a new, extended model of causation (Systems-Theoretic Accident Model and Processes, or STAMP), then shows how the new model can be used to create techniques for system safety engineering, including accident analysis, hazard analysis, system design, safety in operations, and management of safety-critical systems. She applies the new techniques to real-world events including the friendly-fire loss of a U.S. Blackhawk helicopter in the first Gulf War; the Vioxx recall; the U.S. Navy SUBSAFE program; and the bacterial contamination of a public water supply in a Canadian town. Leveson's approach is relevant even beyond safety engineering, offering techniques for “reengineering” any large sociotechnical system to improve safety and manage risk. |
ap physics 1 mit workbook: AP Physics 1 Kenneth Rideout, Jonathan Wolf, 2020-08-04 Be prepared for exam day with Barron’s. Trusted content from AP experts! Barron’s AP Physics 1: 2021-2022 includes in-depth content review and practice. It’s the only book you’ll need to be prepared for exam day. Written by Experienced Educators Learn from Barron’s--all content is written and reviewed by AP experts Build your understanding with comprehensive review tailored to the most recent exam Get a leg up with tips, strategies, and study advice for exam day--it’s like having a trusted tutor by your side Be Confident on Exam Day Sharpen your test-taking skills with 2 full-length practice tests, including a diagnostic test to target your studying Strengthen your knowledge with in-depth review covering all Units on the AP Physics 1 Exam Reinforce your learning with practice questions at the end of each chapter |
ap physics 1 mit workbook: Cracking the AP Physics 1 Exam 2020, Premium Edition The Princeton Review, 2019-09-10 Make sure you’re studying with the most up-to-date prep materials! Look for the newest edition of this title, Princeton Review AP Physics 1 Premium Prep, 2021 (ISBN: 9780525569596, on-sale August 2020). Publisher's Note: Products purchased from third-party sellers are not guaranteed by the publisher for quality or authenticity, and may not include access to online tests or materials included with the original product. |
ap physics 1 mit workbook: Algorithms for Decision Making Mykel J. Kochenderfer, Tim A. Wheeler, Kyle H. Wray, 2022-08-16 A broad introduction to algorithms for decision making under uncertainty, introducing the underlying mathematical problem formulations and the algorithms for solving them. Automated decision-making systems or decision-support systems—used in applications that range from aircraft collision avoidance to breast cancer screening—must be designed to account for various sources of uncertainty while carefully balancing multiple objectives. This textbook provides a broad introduction to algorithms for decision making under uncertainty, covering the underlying mathematical problem formulations and the algorithms for solving them. The book first addresses the problem of reasoning about uncertainty and objectives in simple decisions at a single point in time, and then turns to sequential decision problems in stochastic environments where the outcomes of our actions are uncertain. It goes on to address model uncertainty, when we do not start with a known model and must learn how to act through interaction with the environment; state uncertainty, in which we do not know the current state of the environment due to imperfect perceptual information; and decision contexts involving multiple agents. The book focuses primarily on planning and reinforcement learning, although some of the techniques presented draw on elements of supervised learning and optimization. Algorithms are implemented in the Julia programming language. Figures, examples, and exercises convey the intuition behind the various approaches presented. |
ap physics 1 mit workbook: Lectures On Computation Richard P. Feynman, 1996-09-08 Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b |
ap physics 1 mit workbook: Physics II For Dummies Steven Holzner, 2010-06-15 A plain-English guide to advanced physics Does just thinking about the laws of motion make your head spin? Does studying electricity short your circuits? Physics II For Dummies walks you through the essentials and gives you easy-to-understand and digestible guidance on this often intimidating course. Thanks to this book, you don?t have to be Einstein to understand physics. As you learn about mechanical waves and sound, forces and fields, electric potential and electric energy, and much more, you?ll appreciate the For Dummies law: The easier we make it, the faster you?ll understand it! An extension of the successful Physics I For Dummies Covers topics in a straightforward and effective manner Explains concepts and terms in a fast and easy-to-understand way Whether you?re currently enrolled in an undergraduate-level Physics II course or just want a refresher on the fundamentals of advanced physics, this no-nonsense guide makes this fascinating topic accessible to everyone. |
ap physics 1 mit workbook: Guide to NumPy Travis Oliphant, 2015-09-15 This is the second edition of Travis Oliphant's A Guide to NumPy originally published electronically in 2006. It is designed to be a reference that can be used by practitioners who are familiar with Python but want to learn more about NumPy and related tools. In this updated edition, new perspectives are shared as well as descriptions of new distributed processing tools in the ecosystem, and how Numba can be used to compile code using NumPy arrays. Travis Oliphant is the co-founder and CEO of Continuum Analytics. Continuum Analytics develops Anaconda, the leading modern open source analytics platform powered by Python. Travis, who is a passionate advocate of open source technology, has a Ph.D. from Mayo Clinic and B.S. and M.S. degrees in Mathematics and Electrical Engineering from Brigham Young University. Since 1997, he has worked extensively with Python for computational and data science. He was the primary creator of the NumPy package and founding contributor to the SciPy package. He was also a co-founder and past board member of NumFOCUS, a non-profit for reproducible and accessible science that supports the PyData stack. He also served on the board of the Python Software Foundation. |
ap physics 1 mit workbook: 5 Steps to a 5: 500 AP Physics 1 Questions to Know by Test Day, Third Edition NA Anaxos, 2019-02-21 500 AP style questions with detailed answer explanations to prepare you for what you’ll see on test day 5 Steps to a 5: 500 AP Physics 1 Questions to Know by Test Day gives you 500 practice questions that cover the most essential course material and help you work toward a 5 on the test. The questions parallel the format and degree of difficulty that you’ll find on the actual AP exams and are accompanied by answers with comprehensive explanations. The questions in this book were written by expert AP teachers who know the exam inside and out, so they closely reflect what you’ll see when you’ll sit for the AP Physics 1 test.This valuable study guide features:•500 AP-style questions and answers •Detailed review explanations for right and wrong answers•Close simulations of the real AP exam•Updated material that reflects the latest AP exam |
ap physics 1 mit workbook: Foundations of Analog and Digital Electronic Circuits Anant Agarwal, Jeffrey Lang, 2005-07-01 Unlike books currently on the market, this book attempts to satisfy two goals: combine circuits and electronics into a single, unified treatment, and establish a strong connection with the contemporary world of digital systems. It will introduce a new way of looking not only at the treatment of circuits, but also at the treatment of introductory coursework in engineering in general. Using the concept of ''abstraction,'' the book attempts to form a bridge between the world of physics and the world of large computer systems. In particular, it attempts to unify electrical engineering and computer science as the art of creating and exploiting successive abstractions to manage the complexity of building useful electrical systems. Computer systems are simply one type of electrical systems.+Balances circuits theory with practical digital electronics applications.+Illustrates concepts with real devices.+Supports the popular circuits and electronics course on the MIT OpenCourse Ware from which professionals worldwide study this new approach.+Written by two educators well known for their innovative teaching and research and their collaboration with industry.+Focuses on contemporary MOS technology. |
ap physics 1 mit workbook: Physics I For Dummies Steven Holzner, 2016-05-17 The fun and easy way to get up to speed on the basic concepts of physics For high school and undergraduate students alike, physics classes are recommended or required courses for a wide variety of majors, and continue to be a challenging and often confusing course. Physics I For Dummies tracks specifically to an introductory course and, keeping with the traditionally easy-to-follow Dummies style, teaches you the basic principles and formulas in a clear and concise manner, proving that you don't have to be Einstein to understand physics! Explains the basic principles in a simple, clear, and entertaining fashion New edition includes updated examples and explanations, as well as the newest discoveries in the field Contains the newest teaching techniques If just thinking about the laws of physics makes your head spin, this hands-on, friendly guide gets you out of the black hole and sheds light on this often-intimidating subject. |
ap physics 1 mit workbook: Introduction to Applied Linear Algebra Stephen Boyd, Lieven Vandenberghe, 2018-06-07 A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples. |
ap physics 1 mit workbook: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
ap physics 1 mit workbook: Modern Robotics Kevin M. Lynch, Frank C. Park, 2017-05-25 A modern and unified treatment of the mechanics, planning, and control of robots, suitable for a first course in robotics. |
ap physics 1 mit workbook: Calculus Gilbert Strang, Edwin Prine Herman, 2016-03-07 Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.--BC Campus website. |
ap physics 1 mit workbook: Superminds Thomas W. Malone, 2018-05-15 From the founding director of the MIT Center for Collective Intelligence comes a fascinating look at the remarkable capacity for intelligence exhibited by groups of people and computers working together. If you're like most people, you probably believe that humans are the most intelligent animals on our planet. But there's another kind of entity that can be far smarter: groups of people. In this groundbreaking book, Thomas Malone, the founding director of the MIT Center for Collective Intelligence, shows how groups of people working together in superminds -- like hierarchies, markets, democracies, and communities -- have been responsible for almost all human achievements in business, government, science, and beyond. And these collectively intelligent human groups are about to get much smarter. Using dozens of striking examples and case studies, Malone shows how computers can help create more intelligent superminds simply by connecting humans to one another in a variety of rich, new ways. And although it will probably happen more gradually than many people expect, artificially intelligent computers will amplify the power of these superminds by doing increasingly complex kinds of thinking. Together, these changes will have far-reaching implications for everything from the way we buy groceries and plan business strategies to how we respond to climate change, and even for democracy itself. By understanding how these collectively intelligent groups work, we can learn how to harness their genius to achieve our human goals. Drawing on cutting-edge science and insights from a remarkable range of disciplines, Superminds articulates a bold -- and utterly fascinating -- picture of the future that will change the ways you work and live, both with other people and with computers. |
ap physics 1 mit workbook: Foundations of Data Science Avrim Blum, John Hopcroft, Ravindran Kannan, 2020-01-23 This book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data. |
ap physics 1 mit workbook: AP Physics 1 Premium Kenneth Rideout, Jonathan Wolf, 2020-08-04 Barron's AP Physics 1 Premium: With 4 Practice Tests, Second Edition provides in-depth review for the AP Physics 1 exam, which corresponds to a first-year, algebra-based college course. Comprehensive subject review covers vectors, kinematics, forces and Newton’s Laws of Motion, energy, gravitation, impacts and linear momentum, rotational motion, oscillatory motion, electricity, and waves and sound. This fully updated book offers in-depth review for the exam and helps students apply the skills they learned in class. It includes: Two practice tests in the book that reflect the AP Physics 1 exam (in terms of format, content tested, and level of difficulty) with all answers fully explained Two additional practice tests online (that also mirror the actual exam in terms of format, content tested, and level of difficulty) with detailed answer explanations for all questions A short diagnostic test for assessing strengths and weaknesses Practice questions and review that cover all test areas Tips and advice for answering all question types Added information about the weighting of points by topic |
ap physics 1 mit workbook: All of Statistics Larry Wasserman, 2013-12-11 Taken literally, the title All of Statistics is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data. |
ap physics 1 mit workbook: The Robotics Primer Maja J. Mataric, 2007-08-17 A broadly accessible introduction to robotics that spans the most basic concepts and the most novel applications; for students, teachers, and hobbyists. The Robotics Primer offers a broadly accessible introduction to robotics for students at pre-university and university levels, robot hobbyists, and anyone interested in this burgeoning field. The text takes the reader from the most basic concepts (including perception and movement) to the most novel and sophisticated applications and topics (humanoids, shape-shifting robots, space robotics), with an emphasis on what it takes to create autonomous intelligent robot behavior. The core concepts of robotics are carried through from fundamental definitions to more complex explanations, all presented in an engaging, conversational style that will appeal to readers of different backgrounds. The Robotics Primer covers such topics as the definition of robotics, the history of robotics (“Where do Robots Come From?”), robot components, locomotion, manipulation, sensors, control, control architectures, representation, behavior (“Making Your Robot Behave”), navigation, group robotics, learning, and the future of robotics (and its ethical implications). To encourage further engagement, experimentation, and course and lesson design, The Robotics Primer is accompanied by a free robot programming exercise workbook that implements many of the ideas on the book on iRobot platforms. The Robotics Primer is unique as a principled, pedagogical treatment of the topic that is accessible to a broad audience; the only prerequisites are curiosity and attention. It can be used effectively in an educational setting or more informally for self-instruction. The Robotics Primer is a springboard for readers of all backgrounds—including students taking robotics as an elective outside the major, graduate students preparing to specialize in robotics, and K-12 teachers who bring robotics into their classrooms. |
ap physics 1 mit workbook: Introduction to Embedded Systems, Second Edition Edward Ashford Lee, Sanjit Arunkumar Seshia, 2017-01-06 An introduction to the engineering principles of embedded systems, with a focus on modeling, design, and analysis of cyber-physical systems. The most visible use of computers and software is processing information for human consumption. The vast majority of computers in use, however, are much less visible. They run the engine, brakes, seatbelts, airbag, and audio system in your car. They digitally encode your voice and construct a radio signal to send it from your cell phone to a base station. They command robots on a factory floor, power generation in a power plant, processes in a chemical plant, and traffic lights in a city. These less visible computers are called embedded systems, and the software they run is called embedded software. The principal challenges in designing and analyzing embedded systems stem from their interaction with physical processes. This book takes a cyber-physical approach to embedded systems, introducing the engineering concepts underlying embedded systems as a technology and as a subject of study. The focus is on modeling, design, and analysis of cyber-physical systems, which integrate computation, networking, and physical processes. The second edition offers two new chapters, several new exercises, and other improvements. The book can be used as a textbook at the advanced undergraduate or introductory graduate level and as a professional reference for practicing engineers and computer scientists. Readers should have some familiarity with machine structures, computer programming, basic discrete mathematics and algorithms, and signals and systems. |
ap physics 1 mit workbook: Art School Steven Henry Madoff, 2009-09-11 Leading international artists and art educators consider the challenges of art education in today's dramatically changed art world. The last explosive change in art education came nearly a century ago, when the German Bauhaus was formed. Today, dramatic changes in the art world—its increasing professionalization, the pervasive power of the art market, and fundamental shifts in art-making itself in our post-Duchampian era—combined with a revolution in information technology, raise fundamental questions about the education of today's artists. Art School (Propositions for the 21st Century) brings together more than thirty leading international artists and art educators to reconsider the practices of art education in academic, practical, ethical, and philosophical terms. The essays in the book range over continents, histories, traditions, experiments, and fantasies of education. Accompanying the essays are conversations with such prominent artist/educators as John Baldessari, Michael Craig-Martin, Hans Haacke, and Marina Abramovic, as well as questionnaire responses from a dozen important artists—among them Mike Kelley, Ann Hamilton, Guillermo Kuitca, and Shirin Neshat—about their own experiences as students. A fascinating analysis of the architecture of major historical art schools throughout the world looks at the relationship of the principles of their designs to the principles of the pedagogy practiced within their halls. And throughout the volume, attention is paid to new initiatives and proposals about what an art school can and should be in the twenty-first century—and what it shouldn't be. No other book on the subject covers more of the questions concerning art education today or offers more insight into the pressures, challenges, risks, and opportunities for artists and art educators in the years ahead. Contributors Marina Abramovic, Dennis Adams, John Baldessari, Ute Meta Bauer, Daniel Birnbaum, Saskia Bos, Tania Bruguera, Luis Camnitzer, Michael Craig-Martin, Thierry de Duve, Clémentine Deliss, Charles Esche, Liam Gillick, Boris Groys, Hans Haacke, Ann Lauterbach, Ken Lum, Steven Henry Madoff, Brendan D. Moran, Ernesto Pujol, Raqs Media Collective, Charles Renfro, Jeffrey T. Schnapp, Michael Shanks, Robert Storr, Anton Vidokle |
ap physics 1 mit workbook: Gaussian Processes for Machine Learning Carl Edward Rasmussen, Christopher K. I. Williams, 2005-11-23 A comprehensive and self-contained introduction to Gaussian processes, which provide a principled, practical, probabilistic approach to learning in kernel machines. Gaussian processes (GPs) provide a principled, practical, probabilistic approach to learning in kernel machines. GPs have received increased attention in the machine-learning community over the past decade, and this book provides a long-needed systematic and unified treatment of theoretical and practical aspects of GPs in machine learning. The treatment is comprehensive and self-contained, targeted at researchers and students in machine learning and applied statistics. The book deals with the supervised-learning problem for both regression and classification, and includes detailed algorithms. A wide variety of covariance (kernel) functions are presented and their properties discussed. Model selection is discussed both from a Bayesian and a classical perspective. Many connections to other well-known techniques from machine learning and statistics are discussed, including support-vector machines, neural networks, splines, regularization networks, relevance vector machines and others. Theoretical issues including learning curves and the PAC-Bayesian framework are treated, and several approximation methods for learning with large datasets are discussed. The book contains illustrative examples and exercises, and code and datasets are available on the Web. Appendixes provide mathematical background and a discussion of Gaussian Markov processes. |
ap physics 1 mit workbook: English and German Diction for Singers Amanda Johnston, 2011-02-01 Often underestimated, lyric diction is a portal to powerful performance. It is through lyric diction that singers are able to communicate the wishes and desires of the poet, as well as the composer. Amanda Johnston takes a modernized approach in English and German Diction for Singers, making German increasingly accessible through the recognition that English and German are related languages, and thus have many things in common with regard to lyric diction. This comprehensive resource includes a thorough analysis of the German and English languages, as well as lists, tables, charts, musical examples, and even tongue twisters. Designed for both undergraduate and graduate courses in German and English lyric diction, this book is an invaluable resource for classical singers, vocal coaches, and voice teachers alike. |
ap physics 1 mit workbook: Handbook of Contact Mechanics Valentin L. Popov, Markus Heß, Emanuel Willert, 2019-04-26 This open access book contains a structured collection of the complete solutions of all essential axisymmetric contact problems. Based on a systematic distinction regarding the type of contact, the regime of friction and the contact geometry, a multitude of technically relevant contact problems from mechanical engineering, the automotive industry and medical engineering are discussed. In addition to contact problems between isotropic elastic and viscoelastic media, contact problems between transversal-isotropic elastic materials and functionally graded materials are addressed, too. The optimization of the latter is a focus of current research especially in the fields of actuator technology and biomechanics. The book takes into account adhesive effects which allow access to contact-mechanical questions about micro- and nano-electromechanical systems. Solutions of the contact problems include both the relationships between the macroscopic force, displacement and contact length, as well as the stress and displacement fields at the surface and, if appropriate, within the half-space medium. Solutions are always obtained with the simplest available method - usually with the method of dimensionality reduction (MDR) or approaches which use the solution of the non-adhesive normal contact problem to solve the respective contact problem. |
ap physics 1 mit workbook: Introduction To Classical Mechanics John Dirk Walecka, 2020-02-26 This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share. |
ap physics 1 mit workbook: An Introduction to Measure Theory Terence Tao, 2021-09-03 This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book. |
ap physics 1 mit workbook: An Introduction to Mechanics Daniel Kleppner, Robert Kolenkow, 2014 This second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics. |
ap physics 1 mit workbook: Fundamentals of Physics II R. Shankar, 2016-01-01 Explains the fundamental concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Provides an introduction for college-level students of physics, chemistry, and engineering, for AP Physics students, and for general readers interested in advances in the sciences. In volume II, Shankar explains essential concepts, including electromagnetism, optics, and quantum mechanics. The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics. |
ap physics 1 mit workbook: Predictably Irrational Dan Ariely, 2008-02 Intelligent, lively, humorous, and thoroughly engaging, The Predictably Irrational explains why people often make bad decisions and what can be done about it. |
ap physics 1 mit workbook: University Physics Volume 1 of 3 (1st Edition Textbook) Samuel J. Ling, William Moebs, Jeff Sanny, 2023-05-14 Black & white print. University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity, and magnetism. Volume 3 covers optics and modern physics. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. |
ap physics 1 mit workbook: The Atomic Nucleus R. D. Evans, 2003-01-01 |
ap physics 1 mit workbook: Atmosphere, Ocean and Climate Dynamics John Marshall, R. Alan Plumb, 1965-01-01 For advanced undergraduate and beginning graduate students in atmospheric, oceanic, and climate science, Atmosphere, Ocean and Climate Dynamics is an introductory textbook on the circulations of the atmosphere and ocean and their interaction, with an emphasis on global scales. It will give students a good grasp of what the atmosphere and oceans look like on the large-scale and why they look that way. The role of the oceans in climate and paleoclimate is also discussed. The combination of observations, theory and accompanying illustrative laboratory experiments sets this text apart by making it accessible to students with no prior training in meteorology or oceanography.* Written at a mathematical level that is appealing for undergraduates andbeginning graduate students* Provides a useful educational tool through a combination of observations andlaboratory demonstrations which can be viewed over the web* Contains instructions on how to reproduce the simple but informativelaboratory experiments* Includes copious problems (with sample answers) to help students learn thematerial. |
ap physics 1 mit workbook: Computational Physics Mark E. J. Newman, 2013 This book explains the fundamentals of computational physics and describes the techniques that every physicist should know, such as finite difference methods, numerical quadrature, and the fast Fourier transform. The book offers a complete introduction to the topic at the undergraduate level, and is also suitable for the advanced student or researcher. The book begins with an introduction to Python, then moves on to a step-by-step description of the techniques of computational physics, with examples ranging from simple mechanics problems to complex calculations in quantum mechanics, electromagnetism, statistical mechanics, and more. |
ap physics 1 mit workbook: Sterling Test Prep AP Physics 1 Practice Questions Sterling Prep, 2015-06-05 3 diagnostic tests; Topical practice questions; Detailed step-by-step explanations; Key formulas and equations; Test taking strategies.--Cover. |
ap physics 1 mit workbook: Principles & Practice of Physics Eric Mazur, 2014-04-02 ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase. Putting physics first Based on his storied research and teaching, Eric Mazur's Principles & Practice of Physics builds an understanding of physics that is both thorough and accessible. Unique organization and pedagogy allow you to develop a true conceptual understanding of physics alongside the quantitative skills needed in the course. New learning architecture: The book is structured to help you learn physics in an organized way that encourages comprehension and reduces distraction. Physics on a contemporary foundation: Traditional texts delay the introduction of ideas that we now see as unifying and foundational. This text builds physics on those unifying foundations, helping you to develop an understanding that is stronger, deeper, and fundamentally simpler. Research-based instruction: This text uses a range of research-based instructional techniques to teach physics in the most effective manner possible. The result is a groundbreaking book that puts physics first, thereby making it more accessible to you to learn. MasteringPhysics® works with the text to create a learning program that enables you to learn both in and out of the classroom. The result is a groundbreaking book that puts physics first, thereby making it more accessible to students and easier for instructors to teach. Note: If you are purchasing the standalone text or electronic version, MasteringPhysics does not come automatically packaged with the text. To purchase MasteringPhysics, please visit: www.masteringphysics.com or you can purchase a package of the physical text + MasteringPhysics by searching the Pearson Higher Education website. MasteringPhysics is not a self-paced technology and should only be purchased when required by an instructor. |
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