The Essential Calculus Workbook: Limits and Derivatives PDF Download
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Author: Tim Hill Publisher: Questing Vole Press ISBN: Category : Mathematics Languages : en Pages : 118
Book Description
Ready to step up your game in calculus? This workbook isn't the usual parade of repetitive questions and answers. Author Tim Hill's approach lets you work on problems you enjoy, rather than through exercises and drills you fear, without the speed pressure, timed testing, and rote memorization that damage your experience of mathematics. Working through varied problems in this anxiety-free way helps you develop an understanding of numerical relations apart from the catalog of mathematical facts that's often stressed in classrooms and households. This number sense, common in high-achieving students, lets you apply and combine concepts, methods, and numbers flexibly, without relying on distant memories. - Solutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts. - Advanced problems explore variations, tricks, subtleties, and real-world applications. - Problems build gradually in difficulty with little repetition. If you get stuck, then flip back a few pages for a hint or to jog your memory. - Numerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts. - Treats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning. - Discards the common and damaging misconception that fast students are strong students. Good students aren't particularly fast with numbers because they think deeply and carefully about mathematics. - Detailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook. Topics covered: The tangent line. Delta notation. The derivative of a function. Differentiable functions. Leibniz notation. Average and instantaneous velocity. Speed. Projectile paths. Rates of change. Acceleration. Marginal cost. Limits. Epsilon-delta definition. Limit laws. Trigonometric limits. Continuity. Continuous functions. The Mean Value Theorem. The Extreme Value Theorem. The Intermediate Value Theorem. Fermat's theorem. Prerequisite mathematics: Elementary algebra. Real numbers. Functions. Graphs. Trigonometry. Contents 1. The Slope of the Tangent Line 2. The Definition of the Derivative 3. Velocity and Rates of Change 4. Limits 5. Continuous Functions About the Author Tim Hill is a statistician living in Boulder, Colorado. He holds degrees in mathematics and statistics from Stanford University and the University of Colorado. Tim has written guides for calculus, trigonometry, algebra, geometry, precalculus, permutations and combinations, debt, mortgages, and Excel pivot tables. When he's not crunching numbers, Tim climbs rocks, hikes canyons, and avoids malls.
Author: Tim Hill Publisher: Questing Vole Press ISBN: Category : Mathematics Languages : en Pages : 118
Book Description
Ready to step up your game in calculus? This workbook isn't the usual parade of repetitive questions and answers. Author Tim Hill's approach lets you work on problems you enjoy, rather than through exercises and drills you fear, without the speed pressure, timed testing, and rote memorization that damage your experience of mathematics. Working through varied problems in this anxiety-free way helps you develop an understanding of numerical relations apart from the catalog of mathematical facts that's often stressed in classrooms and households. This number sense, common in high-achieving students, lets you apply and combine concepts, methods, and numbers flexibly, without relying on distant memories. - Solutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts. - Advanced problems explore variations, tricks, subtleties, and real-world applications. - Problems build gradually in difficulty with little repetition. If you get stuck, then flip back a few pages for a hint or to jog your memory. - Numerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts. - Treats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning. - Discards the common and damaging misconception that fast students are strong students. Good students aren't particularly fast with numbers because they think deeply and carefully about mathematics. - Detailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook. Topics covered: The tangent line. Delta notation. The derivative of a function. Differentiable functions. Leibniz notation. Average and instantaneous velocity. Speed. Projectile paths. Rates of change. Acceleration. Marginal cost. Limits. Epsilon-delta definition. Limit laws. Trigonometric limits. Continuity. Continuous functions. The Mean Value Theorem. The Extreme Value Theorem. The Intermediate Value Theorem. Fermat's theorem. Prerequisite mathematics: Elementary algebra. Real numbers. Functions. Graphs. Trigonometry. Contents 1. The Slope of the Tangent Line 2. The Definition of the Derivative 3. Velocity and Rates of Change 4. Limits 5. Continuous Functions About the Author Tim Hill is a statistician living in Boulder, Colorado. He holds degrees in mathematics and statistics from Stanford University and the University of Colorado. Tim has written guides for calculus, trigonometry, algebra, geometry, precalculus, permutations and combinations, debt, mortgages, and Excel pivot tables. When he's not crunching numbers, Tim climbs rocks, hikes canyons, and avoids malls.
Author: Chris McMullen Publisher: ISBN: 9781941691243 Category : Calculus Languages : en Pages : 152
Book Description
The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. This workbook covers a variety of essential calculus skills, including: derivatives of polynomials, trig functions, exponentials, and logarithms the chain rule, product rule, and quotient rule second derivatives how to find the extreme values of a function limits, including l'Hopital's rule antiderivatives of polynomials, trig functions, exponentials, and logarithms definite and indefinite integrals techniques of integration, including substitution, trig sub, and integration by parts multiple integrals The goal of this workbook isn't to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering
Author: Mark Ryan Publisher: John Wiley & Sons ISBN: 1119297435 Category : Mathematics Languages : en Pages : 446
Book Description
Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Author: Mark Ryan Publisher: John Wiley & Sons ISBN: 1119043484 Category : Mathematics Languages : en Pages : 336
Book Description
Your light-hearted, practical approach to conquering calculus Does the thought of calculus give you a coronary? You aren't alone. Thankfully, this new edition of Calculus Workbook For Dummies makes it infinitely easier. Focusing "beyond the classroom," it contains calculus exercises you can work on that will help to increase your confidence and improve your skills. This hands-on, friendly guide gives you hundreds of practice problems on limits, vectors, continuity, differentiation, integration, curve-sketching, conic sections, natural logarithms, and infinite series. Calculus is a gateway and potential stumbling block for students interested in pursuing a career in math, science, engineering, finance, and technology. Calculus students, along with math students in nearly all disciplines, benefit greatly from opportunities to practice different types of problems—in the classroom and out. Calculus Workbook For Dummies takes you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English, rather than math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Master differentiation and integration Use the calculus microscope: limits Analyze common functions Score your highest in calculus Complete with tips for problem-solving and traps to avoid, Calculus Workbook For Dummies is your sure-fire weapon for conquering calculus!
Author: James Stewart Publisher: Cengage Learning ISBN: 9781133112297 Category : Mathematics Languages : en Pages : 0
Book Description
This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? ESSENTIAL CALCULUS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages--two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books. ESSENTIAL CALCULUS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Author: Gilbert Strang Publisher: ISBN: 9781938168062 Category : Calculus Languages : en Pages : 824
Book Description
"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.
Author: Lynn Harold Loomis Publisher: World Scientific Publishing Company ISBN: 9814583952 Category : Mathematics Languages : en Pages : 595
Book Description
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.
Author: Duc Van Khanh Tran Publisher: ISBN: Category : Languages : en Pages : 182
Book Description
This introductory calculus book aims to introduce calculus to high school and college math enthusiasts. It starts with some basic concepts such as limits and ordinary derivatives, and then leads to some relatively more advanced concepts with an introduction to partial derivatives at the end of the book. Reviews "This book is suitable for curious high school students, some college students, and maybe even some curious adults. This book has a difference in a friendly, readable, and sometimes cute writing. This is truly a book written by a single author, consistent in style and contents." - Dr. Vu Quang Huynh, Head of Department of Analysis and Dean of Faculty of Mathematics and Computer Science at Vietnam National University Ho Chi Minh City - University of Science (Đại Học Quốc Gia TPHCM - Đại Học Khoa Học Tự Nhiên) "This book has fourteen chapters presenting basic definitions and results on calculus in one variable. The layout is very good. Many results and examples are explained very clearly." - Associate Prof. Dr. Bien Hoang Mai, Head of Department of Algebra at Vietnam National University Ho Chi Minh City - University of Science (Đại Học Quốc Gia TPHCM - Đại Học Khoa Học Tự Nhiên) "The book An Introduction to Calculus: With Hyperbolic Functions, Limits, Derivatives, and More by author Duc Van Khanh Tran refers to the theories of limits, the derivative and differential of a function of a single variable, and the partial derivative of a function of several variables in a practical and easily accessible way. Moreover, the book has covered many interesting additions in chapters 1, 8, 9. There are many relatively rich illustrative examples. The book is suitable for learners who want to research an overview of Calculus." - Dr. Triet Anh Nguyen, Head of Department of Mathematics, Mechanics, and Informatics at University of Architecture Ho Chi Minh City (Đại Học Kiến Trúc TPHCM) "An Introduction to Calculus provides a plethora of interesting and fun examples to work through. It is a book that illustrates many elementary concepts wonderfully and delves into them using an example-based approach. It covers a wide variety of techniques and examples, more so than a typical elementary calculus course would. This makes it a detailed yet simple book to read, perfect for a beginner aiming to master elementary calculus." - Hamza Alsamraee, author of "Advanced Calculus Explored" and "Paradoxes" and admin of Daily Math on Instagram "An Introduction to Calculus provides a comprehensive overview of the strategies and techniques in introductory calculus. Duc Van Khanh Tran's pedagogical language and engaging tone make the abstract concepts easy to follow. Furthermore, he includes many results nonstandard to a traditional introductory text that spark excitement at the power of math. To any student interested in exploring the ideas of calculus, this book will be hard to put down!" - Jack Moffatt, admin of Integral Fun on Instagram "The book is well organized with concise definitions, a lot of examples with explanations, and exercise problems for further practice. I like how each worked example is explained in great detail. The topics covered are much more advanced than normal calculus textbooks. This is definitely a gift for all Math lovers to start their journey in Calculus." - Vinci Mak, admin of Chill with Math Vibes on Instagram
Author: Daniel Kleppner Publisher: John Wiley & Sons ISBN: 0471827223 Category : Mathematics Languages : en Pages : 272
Book Description
Quick Calculus 2nd Edition A Self-Teaching Guide Calculus is essential for understanding subjects ranging from physics and chemistry to economics and ecology. Nevertheless, countless students and others who need quantitative skills limit their futures by avoiding this subject like the plague. Maybe that's why the first edition of this self-teaching guide sold over 250,000 copies. Quick Calculus, Second Edition continues to teach the elementary techniques of differential and integral calculus quickly and painlessly. Your "calculus anxiety" will rapidly disappear as you work at your own pace on a series of carefully selected work problems. Each correct answer to a work problem leads to new material, while an incorrect response is followed by additional explanations and reviews. This updated edition incorporates the use of calculators and features more applications and examples. ".makes it possible for a person to delve into the mystery of calculus without being mystified." --Physics Teacher
Author: Tim Hill
Author: Tim Hill
Author: Chris McMullen
Author: Mark Ryan
Author: Mark Ryan
Author: James Stewart
Author: Gilbert Strang
Author: Lynn Harold Loomis
Author: Duc Van Khanh Tran
Author: Daniel Kleppner
Author: Said Hamilton