Pearson - Single Variable Calculus - William Briggs & Lyle Cochran

In this section:

Description

This book is designed for a two-semester or three-quarter calculus course covering single variable calculus for mathematics, engineering, and science majors.

Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice—evident in the narrative, the figures, and the questions interspersed in the narrative—is a master teacher leading students to deeper levels of understanding. The authors appeal to students’ geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope.

To further support student learning, the ebook for the text features Interactive Figures that can be manipulated to shed light on difficult-to-convey concepts. In addition, the Instructor’s Resource Guide and Test Bank features quizzes, test items, lecture support, guided projects, and more.

This product is an alternate version of:
Briggs & Cochran, Calculus
Briggs & Cochran, Single Variable Calculus plus MyMathLab Student Access Kit

Features

Intuitive introductions present ideas through concrete examples, figures, applications, or analogies. The authors appeal to students’ intuition and geometric instincts to make calculus natural and believable.
Figures are designed to help today’s visually oriented learners. They are:

Conceived to convey important ideas and facilitate learning in new ways.
Annotated to lead students through the key ideas in the figure.
Rendered using the latest software for unmatched clarity and precision.

Quick Check exercises punctuate the narrative at key points to test understanding of basic ideas and encourage students to read with a pencil in hand.
Comprehensive exercise sets provide for a variety of student needs and are consistently labeled to enable the creation of homework assignments by inspection.

Review Questions check that students have a general and conceptual understanding of the essential ideas from the section.
Basic Skills exercises are linked to examples in the text so students get off to a good start with homework.
Further Explorations exercises extend students’ abilities beyond the basics.
Applications present practical and novel applications and models that use the ideas presented in the section.
Additional Exercises challenge students to stretch their understanding by working through abstract exercises and proofs.

Content Highlights

Calculus 1—Section 2.1, The Idea of Limits, provides an intuitive introduction to limits by using two ideas that are featured throughout the semester—slopes of tangent lines and instantaneous velocity. Then the section culminates with a visual summary of the concept in preparation for generalizing the idea of a limit.
Calculus 2—Sequences and Series is the most challenging content in Calculus 2 for students, and the authors have spread the content over two chapters to help clarify and pace it more effectively.

Chapter 9, Sequences and Infinite Series, begins by providing a big picture with concrete examples of the difference between a sequence and a series followed by studying the properties and limits of sequences in addition to studying special infinite series and convergence tests. This chapter lays the groundwork for analyzing the absolute convergence for power series.
Chapter 10, Power Series, begins with approximating with polynomials. Power series are introduced as a new way to define functions, building on one series by generating new series using composition, differentiation and integration. Taylor series are then covered and the motivation that precedes the section should make the topic more accessible.

Guided Projects are available for each chapter, giving step-by-step instruction for carrying out extended calculations (e.g., finding the arc length of an ellipse), deriving physical models (e.g., Kepler’s Laws), or exploring related topics (e.g., numerical integration).
The Instructor’s Resource Guide and Test Bank provides a wealth of instructional resources including Guided Projects, Lecture Support Notes with Key Concepts, Quick Quizzes for each section in the text, Chapter Reviews, Chapter Test Banks, Tips and Help for Interactive Figures, and Student Study Cards.
Interactive Figures included in the ebook enable you and your students to manipulate the figures to bring to life hard-to-convey concepts.

Table of Contents

Chapter 1: Functions

1.1 Review of Functions

1.2 Representing Functions

1.3 Trigonometric Functions and Their Inverses

Chapter 2: Limits

2.1 The Idea of Limits

2.2 Definitions of Limits

2.3 Techniques for Computing Limits

2.4 Infinite Limits

2.5 Limits at Infinity

2.6 Continuity

2.7 Precise Definitions of Limits

Chapter 3: Derivatives

3.1 Introducing the Derivative

3.2 Rules of Differentiation

3.3 The Product and Quotient Rules

3.4 Derivatives of Trigonometric Functions

3.5 Derivatives as Rates of Change

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Related Rates

Chapter 4: Applications of the Derivative

4.1 Maxima and Minima

4.2 What Derivatives Tell Us

4.3 Graphing Functions

4.4 Optimization Problems

4.5 Linear Approximation and Differentials

4.6 Mean Value Theorem

4.7 L’Hôpital’s Rule

4.8 Antiderivatives

Chapter 5: Integration

5.1 Approximating Areas under Curves

5.2 Definite Integrals

5.3 Fundamental Theorem of Calculus

5.4 Working with Integrals

5.5 Substitution Rule

Chapter 6: Applications of Integration

6.1 Velocity and Net Change

6.2 Regions between Curves

6.3 Volume by Slicing

6.4 Volume by Shells

6.5 Length of Curves

6.6 Physical Applications

Chapter 7: Logarithmic and Exponential Functions

7.1 Inverse Functions

7.2 The Natural Logarithmic and Exponential Functions

7.3 Logarithmic and Exponential Functions with Other Bases

7.4 Exponential Models

7.5 Inverse Trigonometric Functions

7.6 L’Hôpital’s Rule Revisited and Growth Rates of Functions

Chapter 8: Integration Techniques

8.1 Integration by Parts

8.2 Trigonometric Integrals

8.3 Trigonometric Substitutions

8.4 Partial Fractions

8.5 Other Integration Strategies

8.6 Numerical Integration

8.7 Improper Integrals

8.8 Introduction to Differential Equations

Chapter 9: Sequences and Infinite Series

9.1 An Overview

9.2 Sequences

9.3 Infinite Series

9.4 The Divergence and Integral Tests

9.5 The Ratio, Root, and Comparison Tests

9.6 Alternating Series Review

Chapter 10: Power Series

10.1 Approximating Functions with Polynomials

10.2 Power Series

10.3 Taylor Series

10.4 Working with Taylor Series

Chapter 11: Parametric and Polar Curves

11.1 Parametric Equations

11.2 Polar Coordinates

11.3 Calculus in Polar Coordinates

11.4 Conic Sections

Courses

Calculus [SPLIT EDITIONS] (Mathematics)

In this section:

Author Bios

William Briggs has been on the mathematics faculty at the University of Colorado at Denver for twenty-three years. He received his BA in mathematics from the University of Colorado and his MS and PhD in applied mathematics from Harvard University. He teaches undergraduate and graduate courses throughout the mathematics curriculum with a special interest in mathematical modeling and differential equations as it applies to problems in the biosciences. He has written a quantitative reasoning textbook, Using and Understanding Mathematics; an undergraduate problem solving book, Ants, Bikes, and Clocks; and two tutorial monographs, The Multigrid Tutorial and The DFT: An Owner’s Manual for the Discrete Fourier Transform. He is the Society for Industrial and Applied Mathematics (SIAM) Vice President for Education, a University of Colorado President’s Teaching Scholar, a recipient of the Outstanding Teacher Award of the Rocky Mountain Section of the Mathematical Association of America (MAA), and the recipient of a Fulbright Fellowship to Ireland.

Lyle Cochran is a professor of mathematics at Whitworth University in Spokane, Washington. He holds BS degrees in mathematics and mathematics education from Oregon State University and a MS and PhD in mathematics from Washington State University. He has taught a wide variety of undergraduate mathematics courses at Washington State University, Fresno Pacific University, and, since 1995, at Whitworth University. His expertise is in mathematical analysis, and he has a special interest in the integration of technology and mathematics education. He has written technology materials for leading calculus and linear algebra textbooks including the Instructor’s Mathematica Manual for Linear Algebra and Its Applications by David C. Lay and the Mathematica Technology Resource Manual for Thomas’ Calculus. He is a member of the MAA and a former chair of the Department of Mathematics and Computer Science at Whitworth University.

Websites and Online Courses

In this section:

Websites and Online Courses

Companion Website for Calculus
Pearson
©2010 | Pearson | Website | Live
ISBN-10: 0321691105 | ISBN-13: 9780321691101
More Info

MathXL -- Instant Access -- for Calculus
Briggs & Cochran
©2011 | Pearson | Website | Live
ISBN-10: 0321665236 | ISBN-13: 9780321665232
Online purchase price: $50.00More Info

In this section:

Instructor Resources

Downloadable Instructor Resources
Other Instructor Resources

Student Resources

Websites and online courses
Other student resources

eLearning & Assessment

Websites and Online Courses

Course & Discipline Resources

For Calculus
For the Mathematics Discipline

Instructor's Resource Guide and Test Bank for Calculus
Briggs & Cochran
©2011 | Pearson | Paper; 750 pp | Instock
ISBN-10: 0321665260 | ISBN-13: 9780321665263

Instructor's Solutions Manual, Single Variable for Calculus
Briggs & Cochran
©2011 | Pearson | Paper; 808 pp | Instock
ISBN-10: 0321654005 | ISBN-13: 9780321654007

PowerPoint Slides (Download only) for Calculus
Briggs & Cochran
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321665252 | ISBN-13: 9780321665256

TestGen® Computerized Test Bank for Calculus
Briggs & Cochran
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321691709 | ISBN-13: 9780321691705

Websites and online courses

Companion Website for Calculus
Pearson
©2010 | Pearson | Website | Live
ISBN-10: 0321691105 | ISBN-13: 9780321691101
More Info

MathXL -- Instant Access -- for Calculus
Briggs & Cochran
©2011 | Pearson | Website | Live
ISBN-10: 0321665236 | ISBN-13: 9780321665232
Online purchase price: $50.00More Info

Companion Website for Calculus
Pearson
©2010 | Pearson | Website | Live
ISBN-10: 0321691105 | ISBN-13: 9780321691101
More Info

Maple Manual (Download only) for Calculus
Stapleton
©2010 | Pearson | On-line Supplement | Live
ISBN-10: 0321608089 | ISBN-13: 9780321608086
Online purchase price: $27.50More Info

Mathematica Manual (Download only) for Calculus
Vanisko
©2010 | Pearson | On-line Supplement | Live
ISBN-10: 0321608097 | ISBN-13: 9780321608093
Online purchase price: $27.50More Info

MathXL -- Instant Access -- for Calculus
Briggs & Cochran
©2011 | Pearson | Website | Live
ISBN-10: 0321665236 | ISBN-13: 9780321665232
Online purchase price: $50.00More Info

Online Video Lectures for Calculus
Briggs & Cochran
©2011 | Pearson | Website | Live
ISBN-10: 0321691725 | ISBN-13: 9780321691729
More Info

TI-83/TI-84 Plus and TI-89 Calculator Manual (Download only) for Calculus
McDonald-Newman
©2010 | Pearson | On-line Supplement; 300 pp | Live
ISBN-10: 0321690044 | ISBN-13: 9780321690043
Online purchase price: $27.50More Info | Buy from myPearsonStore
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Other student resources

Student Solutions Manual, Single Variable for Calculus
Briggs & Cochran
©2011 | Pearson | Paper; 416 pp | Instock
ISBN-10: 032166521X | ISBN-13: 9780321665218
Net price: $27.50 (What's this?)More Info

For Calculus

Insight Into Calculus: Using Texas Instruments Graphics Calculators
Ward & Wilberscheid
©1997 | Pearson | Paper; 304 pp | Instock
ISBN-10: 0132553651 | ISBN-13: 9780132553650
Suggested retail price: $31.40Net price: $23.55 (What's this?)More Info

Just-In-Time Algebra and Trigonometry for Early Transcendentals Calculus, 3/E
Mueller & Brent
©2006 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0321320506 | ISBN-13: 9780321320506
Suggested retail price: $26.67Net price: $20.00 (What's this?)More Info

Just-In-Time Algebra and Trigonometry for Students of Calculus, 3/E
Mueller & Brent
©2005 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0321269438 | ISBN-13: 9780321269430
Suggested retail price: $26.67Net price: $16.80 (What's this?)More Info

Maple Approach Calculus, A, 2/E
Gresser
©2002 | Pearson | Paper; 340 pp | Instock
ISBN-10: 0130920142 | ISBN-13: 9780130920140
Suggested retail price: $33.33Net price: $25.00 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Net price: $27.50 (What's this?)More Info

Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Net price: $27.50 (What's this?)More Info

Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Net price: $27.50 (What's this?)More Info

Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Net price: $3.00 (What's this?)More Info

TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Websites and Online Courses

Companion Website for Calculus
Pearson
©2010 | Pearson | Website | Live
ISBN-10: 0321691105 | ISBN-13: 9780321691101
More Info

MathXL -- Instant Access -- for Calculus
Briggs & Cochran
©2011 | Pearson | Website | Live
ISBN-10: 0321665236 | ISBN-13: 9780321665232
Online purchase price: $50.00More Info

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Single Variable Calculus, Books a la Carte Edition
Briggs, Cochran, Gillett & Schulz
©2011 | Pearson | Unbound (Saleable); 650 pp | Instock
ISBN-10: 032169421X | ISBN-13: 9780321694218
Net price: $45.60 (What's this?)Brief Description |
This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value–this format costs significantly less than a new textbook.

This book is designed for a three-semester or four-quarter calculus course covering single variable and multivariable calculus for mathematics, engineering, and science majors.

Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice–evident in the narrative, the figures, and the questions interspersed in the narrative–is a master teacher leading students to deeper levels of understanding. The authors appeal to students’ geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope.

To further support student learning, the ebook for the text features Interactive Figures that can be manipulated to shed light on difficult-to-convey concepts. In addition, the Instructor’s Resource Guide and Test Bank features quizzes, test items, lecture support, guided projects, and more.
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Briggs/Cochran Calculus

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