The Essential Calculus Workbook: Limits and Derivatives

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Release : 2019-06-30
Genre : Mathematics
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The Essential Calculus Workbook: Limits and Derivatives - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Essential Calculus Workbook: Limits and Derivatives write by Tim Hill. This book was released on 2019-06-30. The Essential Calculus Workbook: Limits and Derivatives available in PDF, EPUB and Kindle. 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.

The Essential Calculus Workbook: Trigonometric Functions

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Release : 2019-05-23
Genre : Mathematics
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The Essential Calculus Workbook: Trigonometric Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Essential Calculus Workbook: Trigonometric Functions write by Tim Hill. This book was released on 2019-05-23. The Essential Calculus Workbook: Trigonometric Functions available in PDF, EPUB and Kindle. 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: Basic trigonometry. Limits, derivatives, integrals, and graphs of basic and inverse trigonometric functions. Solids of revolution. Buffon's needle problem. The corridor problem. Simple harmonic motion. Newton's second law of motion. The hyperbolic functions sinh, cosh, and tanh. Catenaries. Prerequisite mathematics: Tangent lines. Curve sketching. Limits. Continuity. Basic derivatives. Basic integrals. Inverse functions. Maxima and minima. Inflection points. Contents 1. Review of Trigonometry 2. Elementary Trigonometry 3. Derivatives of Sine and Cosine 4. Integrals of Sine and Cosine 5. Derivatives of Other Trigonometric Functions 6. Inverse Trigonometric Functions 7. Harmonic Motion 8. Hyperbolic Functions

Essential Calculus Skills Practice Workbook with Full Solutions

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Release : 2018-08-16
Genre : Calculus
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Book Rating : 243/5 ( reviews)

Essential Calculus Skills Practice Workbook with Full Solutions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essential Calculus Skills Practice Workbook with Full Solutions write by Chris McMullen. This book was released on 2018-08-16. Essential Calculus Skills Practice Workbook with Full Solutions available in PDF, EPUB and Kindle. 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

Integral Calculus Formulae Practice Workbook

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Release : 2016-12-07
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Book Rating : 277/5 ( reviews)

Integral Calculus Formulae Practice Workbook - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Calculus Formulae Practice Workbook write by Subbiahdoss M. This book was released on 2016-12-07. Integral Calculus Formulae Practice Workbook available in PDF, EPUB and Kindle. It is a common fact that students do not show much interest in solving problems in Integral Calculus when compared to that of Differential Calculus. The voluminous nature of the problems in Integral Calculus forbids the students to gain confidence in this subject.Have a look on the following discussion. A question was asked by a student and was explained by an user in the internet.Question: I have never done integration in my life and I am in the first year of university. Is it (integration) harder than taking the derivative? I've heard it just going backwards. Is it generally considered harder than differentiation? Explanation given: If you are fine with derivatives, you will be fine with integrals in I year calculus. It never hurts to pay attention in class and to do your homework1. ............ In fact, if you have trouble with a problem, you should do more of the same kind as soon as you know the answer2. ........ The kind of problems you get in first year calculus will be solvable if you learn enough tricks3. ......... Integrals start out harder than derivatives and wind up easier4...........Superscript 1 means 'Be familiar with the formulae and methods of solving problems in Differential Calculus and Trigonometry'. The formulae practice workbooks in Differential Calculus and Trigonometry (PROF MSDOSS MATH BOOK SERIES I and II ) help the students to achieve this.Superscript 2 emphasize on 'Practice! Practice!'Students gain confidence only through practice only. This can be achieved by following the methods explained in the formulae practice workbooks in Differential Calculus, Trigonometry and Integral Calculus (PROF MSDOSS MATH BOOK SERIES I, II and III ) Superscript 3: 'Trick' means 'Ability to understand and classify the problems!'The above trick is rightly followed in the above mentioned formulae practice workbooks.Superscript 4 indicates the outcome!Experience shows that the above mentioned workbooks help the students to achieve this result.Significant features :# Each unit is provided with a revision of the formulae applied and methods followed.# Self- evaluation test is provided at the end of each unit.# Already tested in India among the average and below average students with good results.# Definite integrals, evaluation of integrals using partial fraction and the remaining methods of evaluation of integrals will be discussed in volume II.Prof. M. SUBBIAH DOSS

Essential Calculus

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Release : 2012-02-10
Genre : Mathematics
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Book Rating : 297/5 ( reviews)

Essential Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essential Calculus write by James Stewart. This book was released on 2012-02-10. Essential Calculus available in PDF, EPUB and Kindle. 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.