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Calculus Essentials for Dummies
Calculus Essentials For Dummies (9781119591207) was previously published as Calculus Essentials For Dummies (9780470618356). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Many colleges a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Newark :
John Wiley & Sons, Incorporated,
2019.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Ryan, Mark. | |
| 245 | 1 | 0 | |a Calculus Essentials for Dummies |
| 260 | |a Newark : |b John Wiley & Sons, Incorporated, |c 2019. | ||
| 300 | |a 1 online resource (195 pages) | ||
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| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Intro; Title Page; Copyright Page; Table of Contents; Introduction; About This Book; Conventions Used in This Book; Foolish Assumptions; Icons Used in This Book; Where to Go from Here; Chapter 1 Calculus: No Big Deal; So What Is Calculus Already?; Real-World Examples of Calculus; Differentiation; Integration; Why Calculus Works; Limits: Math microscopes; What happens when you zoom in; Chapter 2 Limits and Continuity; Taking It to the Limit; Three functions with one limit; One-sided limits; Limits and vertical asymptotes; Limits and horizontal asymptotes; Instantaneous speed | |
| 505 | 8 | |a Limits and ContinuityThe hole exception; Chapter 3 Evaluating Limits; Easy Limits; Limits to memorize; Plug-and-chug limits; "Real" Limit Problems; Factoring; Conjugate multiplication; Miscellaneous algebra; Limits at Infinity; Horizontal asymptotes; Solving limits at infinity; Chapter 4 Differentiation Orientation; The Derivative: It's Just Slope; The slope of a line; The derivative of a line; The Derivative: It's Just a Rate; Calculus on the playground; The rate-slope connection; The Derivative of a Curve; The Difference Quotient; Average and Instantaneous Rate | |
| 505 | 8 | |a Three Cases Where the Derivative Does Not ExistChapter 5 Differentiation Rules; Basic Differentiation Rules; The constant rule; The power rule; The constant multiple rule; The sum and difference rules; Differentiating trig functions; Exponential and logarithmic functions; Derivative Rules for Experts; The product and quotient rules; The chain rule; Differentiating Implicitly; Chapter 6 Differentiation and the Shape of Curves; A Calculus Road Trip; Local Extrema; Finding the critical numbers; The First Derivative Test; The Second Derivative Test; Finding Absolute Extrema on a Closed Interval | |
| 505 | 8 | |a Finding Absolute Extrema over a Function's Entire DomainConcavity and Inflection Points; Graphs of Derivatives; The Mean Value Theorem; Chapter 7 Differentiation Problems; Optimization Problems; The maximum area of a corral; Position, Velocity, and Acceleration; Velocity versus speed; Maximum and minimum height; Velocity and displacement; Total displacement; Average velocity; Maximum and minimum velocity; Speed and distance traveled; Total distance traveled; Average speed; Maximum and minimum speed; Acceleration; Tying it all together; Related Rates; A calculus crossroads; Filling up a trough | |
| 505 | 8 | |a Linear ApproximationChapter 8 Introduction to Integration; Integration: Just Fancy Addition; Finding the Area under a Curve; Dealing with negative area; Approximating Area; Approximating area with left sums; Approximating area with right sums; Approximating area with midpoint sums; Summation Notation; Summing up the basics; Writing Riemann sums with sigma notation; Finding Exact Area with the Definite Integral; Chapter 9 Integration: Backwards Differentiation; Antidifferentiation: Reverse Differentiation; The Annoying Area Function; The Fundamental Theorem; Fundamental Theorem: Take Two | |
| 500 | |a Antiderivatives: Basic Techniques | ||
| 520 | |a Calculus Essentials For Dummies (9781119591207) was previously published as Calculus Essentials For Dummies (9780470618356). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides explanations of key concepts for students who may have taken calculus in high school and want to review the most important concepts as they gear up for a faster-paced college course. Free of review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents who need to review critical calculus concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts. Dummies is proud to present our new series, The Essentials For Dummies . Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject. | ||
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