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Calculus Early Transcendentals 3rd Edition Rogawski Download

Calculus: Early Transcendentals by Jon Rogawski; Colin Adams - Third Edition, 2015 from Macmillan Student Store

Calculus: Early on Transcendentals

Third Edition ©2015

The virtually successful calculus book of its generation, Jon Rogawski'southward Calculus offers an ideal balance of formal precision and dedicated conceptual focus, helping students build strong computational skills while continually reinforcing the relevance of calculus to their future south...

The most successful calculus volume of its generation, Jon Rogawski'south Calculus offers an ideal balance of formal precision and dedicated conceptual focus, helping students build stiff computational skills while continually reinforcing the relevance of calculus to their future studies and their lives.

Guided by new author Colin Adams, the new edition stays true to the tardily Jon Rogawski'due south refreshing and highly effective approach, while cartoon on extensive instructor and student feedback, and Adams' three decades as a calculus teacher and author of math books for full general audiences.

Due west. H. Freeman/Macmillan and WebAssign have partnered to deliver WebAssign Premium – a comprehensive and flexible suite of resources for your calculus course. Combining the most widely used online homework platform with the administrative and interactive content from the textbook, WebAssign Premium extends and enhances the classroom experience for instructors and students.

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ISBN:9781319116453

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Calculus: Early Transcendentals by Jon Rogawski; Colin Adams - Third Edition, 2015 from Macmillan Student Store

The most successful calculus book of its generation, Jon Rogawski's Calculus offers an platonic balance of formal precision and defended conceptual focus, helping students build strong computational skills while continually reinforcing the relevance of calculus to their time to come studies and their lives.

Guided by new author Colin Adams, the new edition stays true to the tardily Jon Rogawski's refreshing and highly effective approach, while drawing on extensive instructor and student feedback, and Adams' three decades as a calculus instructor and author of math books for full general audiences.

West. H. Freeman/Macmillan and WebAssign have partnered to deliver WebAssign Premium – a comprehensive and flexible suite of resources for your calculus course. Combining the virtually widely used online homework platform with the administrative and interactive content from the textbook, WebAssign Premium extends and enhances the classroom feel for instructors and students.

Conceptual Insights encourage the pupil to develop a conceptual understanding of calculus by explaining important ideas clearly just informally.

Graphical Insights enhance the students' visual understanding past making the crucial connection between graphical properties and the underlying concept.

Reminders in the margins link back to important concepts discussed earlier in the text.

Caution notes warn students of common pitfalls they tin can encounter in understanding the material.

Historical Perspectives are brief vignettes that place primal conceptual discoveries and advancements in their historical settings. They requite students a glimpse into past accomplishments of not bad mathematicians and an appreciation for their significance.

Assumptions Thing uses curt explanations and well-chosen counterexamples to aid students appreciate why hypotheses are needed in theorems.

Section Summaries summarize a section's primal points in a curtailed and useful style to emphasize for students what is about important in the section.

Department Exercise Sets offer a comprehensive set of exercises closely coordinated with the text. These exercises vary in levels of difficulty from routine, to moderate, to more challenging. As well included are questions appropriate for written response or use of technology:
• Preliminary Exercises begin each exercise set and need piddling or no computation. They can be used to bank check agreement of key concepts of a section before problems from the practice prepare are assigned.
• Exercises offers numerous problems from the routine drill bug to moderately challenging problems. These are advisedly graded and include many innovative and interesting geometric and real world applications.
• Further Insights and Challenges are more challenging bug that help to extend a department's textile.
• End of Chapter Review Exercises offer a comprehensive ready of exercises closely coordinated with the affiliate cloth to provide additional problems for cocky report or assignments.

New to This Edition

New writer, Colin Adams
Colin Adams is an honor-winning instructor, widely read author, and distinguished researcher. A user of Jon Rogawski'southward textbook, he brings his ain classroom experience to the project, equally well as a well-regarded ability to make calculus more engaging and meaningful to students without sacrificing its precision and rigor.

Refined Exercises
The exercise sets were reviewed extensively by longtime users to ensure the utmost accurateness, clarity, and consummate content coverage. Practise sets were also modified to improve upon the grading by level of difficulty and to ensure even/odd pairing.

In add-on, numerous new exercises have been added throughout the text, particularly where new applications are available or to enhance conceptual development.

New Examples, including

Example seven in Section four.three where the local minimum occurs at critical bespeak but derivative does not exist

Instance 5 in Section 6.1 that computes the areas betwixt two curves in two means

Several new examples in Chapter 10 including Example 1 (Fibonacci sequence) and Example iv (bounded sequence) in Section 10.i and Example v (repeated decimal expansion) in Section 10.2

Several examples in Chapter xiv including Example 7 (a limit that does non exist because different paths product different limits) in Section 14.two, Example 9 (gradient vectors perpendicular to level curves) in Section fourteen.5 and Example 5 (2nd Derivative Tests fails) in Section 14.7

New Content Based on User and Reviewer Feedback

Strategies of Integration (new section in Ch. seven), incorporates many new examples to guide students on how to tackle integration problems

Determining Which Convergence Test To Apply (new in Ch. 10, sec. five) reviews each test and provides strategies on when to employ them

Coverage of these concepts now focuses more on concepts and methods, rather than formulas and memorization:

Derivatives of inverse trigonometric functions (Ch. 3)

Trigonometric integrals (Ch. 7)

Quadric surfaces (Ch. 12)

New Illustrations
This edition includes a number of new figures that assistance students visualize concepts, including illustrations that explain:

What a limit means (Fig. five in Section 2.1, Fig. 3 in Section 2.2)

The Intermediate Value Theorem (Fig. ii in Section 2.8)

Vertically and horizontally unproblematic regions (Figs. 2 and ix in Section 6.1)

Standardized Notation
Notational changes bring this edition in line with standard notation usage in mathematics and other fields that use mathematics, presenting a consistent message to students. Other notational changes make it easier for students to embrace the concepts.

For instance, in multivariable chapters, note for vector-valued functions is now written r(t) = <10(t), y(t)> instead of c(t) = (x(t), y(t)) and the standard notation V is used for potential functions.

LearningCurve
In a game-like format, LearningCurve adaptive and formative quizzing provides an effective style to become students involved in the coursework. It offers:

A unique learning path for each pupil, with quizzes shaped by each individual's correct and incorrect answers.

A Personalized Written report Program, to guide students' preparation for class and for exams.

Feedback for each question with live links to relevant east-volume pages, guiding students to the reading they need to do to improve their areas of weakness.

ONLINE HOMEWORK OPTION
In improver to the robust online homework organisation in LaunchPad, instructors can have reward of the following W. H. Freeman partnerships:WeBWorK
webwork.maa.org
West. H. Freeman offers approximately 2,500 algorithmically generated questions (with full solutions) through this free open source online homework system developed at the Academy of Rochester. Adopters besides take access to a shared national library exam bank with thousands of additional questions, including 1,500 problem sets correlated to the 3rd Edition.

WebAssign Premium
www.webassign.cyberspace/whfreeman
Premium for Calculus, 3rd Edition integrates the book'southward exercises into the globe's most popular and trusted online homework organisation, making it easy to assign algorithmically generated homework and quizzes. WebAssign Premium besides offers access to all of the book'southward digital resource, with the selection of including the complete east-Book.

"The clarity of examples, equally well every bit their interconnectedness, remains a potent point. This fact alone goes a long way toward helping students better learn the concepts."
--Erik Tou, instructor,Carthage College

"It strikes the right balance betwixt readability for the educatee and rigor for the instructor."
--Debra Carney, instructor, Colorado School of Mines

"Information technology is refreshing to encounter that fifty-fifty in the chapter on limits, in that location are application problems from a diversity of disciplines, including engineering, physics and biological science. The applications feel realistic and relevant as opposed to constructed and stilted."
--Maria Siopsis, instructor, Maryville College

"The strenghts are in the Conceptual and Graphical Insights. These are the kinds of comments that tin make things 'click' and fall into identify for the students."
--Berit Givens, instructor, California Country Polytechnic Academy, Pomona

"The annotation is a potent point of this book. It is used consistently and the authors do not shy abroad from using math instead of backlog prose. Those two features lone put these chapters well ahead of my nowadays text."
--Jonathan Pearsall, instructor, Higher of Southern Nevada

"It's an invitation to learn calculus the right manner."
--Nadjib Bouzar, instructor, Academy of Indianapolis

E-volume

Read online (or offline) with all the highlighting and notetaking tools y'all need to be successful in this course.

Larn Virtually E-volume

Rogawski/Adams: Calculus Early Transcendentals 3e Table of Contents

Chapter 1: Precalculus Review
1.1 Real Numbers, Functions, and Graphs
1.2 Linear and Quadratic Functions
1.3 The Basic Classes of Functions
1.4 Trigonometric Functions
ane.5 Inverse Functions
1.6 Exponential and Logarithmic Functions
i.seven Applied science: Calculators and Computers
Chapter Review Exercises

Chapter 2: Limits
two.i Limits, Rates of Change, and Tangent Lines
ii.2 Limits: A Numerical and Graphical Approach
2.3 Bones Limit Laws
two.4 Limits and Continuity
2.5 Evaluating Limits Algebraically
2.half dozen Trigonometric Limits
2.7 Limits at Infinity
2.8 Intermediate Value Theorem
ii.nine The Formal Definition of a Limit
Affiliate Review Exercises

Chapter three: Differentiation
3.i Definition of the Derivative
iii.2 The Derivative every bit a Function
3.three Production and Quotient Rules
3.four Rates of Modify
3.5 Higher Derivatives
3.6 Trigonometric Functions
3.seven The Chain Rule
3.8 Implicit Differentiation
iii.9 Derivatives of Full general Exponential and Logarithmic Functions
3.10 Related Rates
Chapter Review Exercises

Chapter iv: Applications of the Derivative
4.i Linear Approximation and Applications
4.2 Extreme Values
4.three The Mean Value Theorem and Monotonicity
4.4 The Shape of a Graph
4.5 50'Hopital'south Dominion
iv.six Graph Sketching and Asymptotes
4.7 Applied Optimization
four.viii Newton's Method
Chapter Review Exercises

Chapter 5: The Integral
v.1 Approximating and Computing Area
5.two The Definite Integral
5.3 The Indefinite Integral
5.4 The Central Theorem of Calculus, Part I
5.5 The Fundamental Theorem of Calculus, Part Ii
five.half dozen Net Change every bit the Integral of a Charge per unit
5.7 Substitution Method
5.8 Farther Transcendental Functions
5.nine Exponential Growth and Decay
Chapter Review Exercises

Affiliate vi: Applications of the Integral
6.one Area Between Two Curves
6.ii Setting Up Integrals: Book, Density, Average Value
6.3 Volumes of Revolution
6.four The Method of Cylindrical Shells
6.five Work and Energy
Chapter Review Exercises

Affiliate 7: Techniques of Integration
7.1 Integration past Parts
seven.two Trigonometric Integrals
7.three Trigonometric Substitution
7.four Integrals Involving Hyperbolic and Inverse Hyperbolic Functions
7.5 The Method of Partial Fractions
7.vi Strategies for Integration
7.vii Improper Integrals
seven.viii Probability and Integration
7.9 Numerical Integration
Affiliate Review Exercises

Affiliate 8: Farther Applications of the Integral and Taylor Polynomials
eight.1 Arc Length and Surface Area
8.2 Fluid Pressure level and Strength
eight.3 Center of Mass
viii.4 Taylor Polynomials
Chapter Review Exercises

Chapter 9: Introduction to Differential Equations
9.1 Solving Differential Equations
9.2 Models Involving y^'=m(y-b)
ix.3 Graphical and Numerical Methods
ix.4 The Logistic Equation
ix.5 First-Society Linear Equations
Affiliate Review Exercises

Chapter 10: Infinite Series
10.1 Sequences
10.ii Summing an Infinite Serial
10.iii Convergence of Serial with Positive Terms
10.iv Accented and Conditional Convergence
ten.5 The Ratio and Root Tests
10.6 Power Series
ten.7 Taylor Serial
Chapter Review Exercises

Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections
xi.1 Parametric Equations
11.two Arc Length and Speed
11.3 Polar Coordinates
11.4 Area and Arc Length in Polar Coordinates
eleven.v Conic Sections
Chapter Review Exercises

Chapter 12: Vector Geometry
12.1 Vectors in the Plane
12.2 Vectors in Three Dimensions
12.three Dot Production and the Angle Between 2 Vectors
12.iv The Cantankerous Product
12.5 Planes in Three-Infinite
12.6 A Survey of Quadric Surfaces
12.7 Cylindrical and Spherical Coordinates
Affiliate Review Exercises

Affiliate 13: Calculus of Vector-Valued Functions
13.i Vector-Valued Functions
13.2 Calculus of Vector-Valued Functions
xiii.three Arc Length and Speed
13.4 Curvature
thirteen.5 Move in Three-Space
13.6 Planetary Motion Co-ordinate to Kepler and Newton
Affiliate Review Exercises

Chapter 14: Differentiation in Several Variables
14.1 Functions of Two or More Variables
14.ii Limits and Continuity in Several Variables
xiv.three Fractional Derivatives
14.4 Differentiability and Tangent Planes
fourteen.5 The Slope and Directional Derivatives
14.six The Chain Dominion
xiv.7 Optimization in Several Variables
14.8 Lagrange Multipliers: Optimizing with a Constraint
Chapter Review Exercises

Affiliate 15: Multiple Integration
15.one Integration in Ii Variables
15.two Double Integrals over More General Regions
15.3 Triple Integrals
15.4 Integration in Polar, Cylindrical, and Spherical Coordinates
15.v Applications of Multiple Integrals
15.six Change of Variables
Chapter Review Exercises

Affiliate sixteen: Line and Surface Integrals
16.i Vector Fields
16.two Line Integrals
16.3 Conservative Vector Fields
16.four Parametrized Surfaces and Surface Integrals
sixteen.5 Surface Integrals of Vector Fields
Chapter Review Exercises

Chapter 17: Fundamental Theorems of Vector Analysis
17.1 Light-green's Theorem
17.ii Stokes' Theorem
17.3 Divergence Theorem
Chapter Review Exercises

Appendices
A. The Language of Mathematics
B. Properties of Real Numbers
C. Induction and the Binomial Theorem
D. Additional Proofs

Answers to Odd-Numbered Exercises
References
Alphabetize

Jon Rogawski

Jon Rogawski received his undergraduate and master's degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton Academy, where he studied under Robert Langlands. Before joining the Department of Mathematics at UCLA in 1986, where he was a total professor, he held teaching and visiting positions at the Institute for Avant-garde Report, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon's areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. He published numerous research manufactures in leading mathematics journals, including the inquiry monograph Automorphic Representations of Unitary Groups in 3 Variables (Princeton Academy Press). He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS. As a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. These valuable lessons made an bear upon on his thinking, his writing, and his shaping of a calculus text. Sadly, Jon Rogawski passed away in September 2011. Jon's delivery to presenting the dazzler of calculus and the important function it plays in students' understanding of the wider globe is the legacy that lives on in each new edition of Calculus.

Colin Adams

Colin Adams is the Thomas T. Read professor of Mathematics at Williams Higher, where he has taught since 1985. Colin received his undergraduate caste from MIT and his PhD from the University of Wisconsin. His research is in the area of knot theory and low-dimensional topology. He has held various grants to back up his enquiry, and written numerous inquiry articles. Colin is the author or co-writer of The Knot Book, How to Ace Calculus: The Streetwise Guide, How to Ace the Balance of Calculus: The Streetwise Guide, Riot at the Calc Exam and Other Mathematically Bent Stories, Why Knot?, Introduction to Topology: Pure and Applied, and Zombies & Calculus. He co-wrote and appears in the videos "The Nifty Pi vs. East Debate" and "Derivative vs. Integral: the Final Smackdown." He is a recipient of the Haimo National Distinguished Instruction Award from the Mathematical Clan of America (MAA) in 1998, an MAA Polya Lecturer for 1998-2000, a Sigma Xi Distinguished Lecturer for 2000-2002, and the recipient of the Robert Foster Ruby-red Teaching Honor in 2003. Colin has two children and 1 slightly crazy dog, who is great at providing the entertainment.