Pearson - University Calculus: Elements with Early Transcendentals - Joel Hass, Maurice D. Weir, George B. Thomas & Jr.

In this section:

Description

University Calculus: Elements is a three semester, short early transcendentals science and engineering majors calculus book. It maintains the high standards and careful development that have been the hallmark of the Thomas’ Calculus series, but this text follows a bee line to the essential elements of calculus. This text is designed for those instructors teaching an early transcendentals course who want a short book that covers everything in their syllabus with none of the verbiage and weight of the larger books.

Features

Concise, Considerate Early Transcendentals Presentation:
- 750 pages and about half the price of a typical calculus text!
- Complex topics are covered in smaller sections providing instructors with flexibility in creating course outlines.
- Examples have been refined and streamlined to reduce redundancy and help students navigate through the text when doing homework and reviewing for quizzes and tests.
- Transcendental functions are introduced early and are continually revisited in later chapters.
- The answer to the question: “What about a short, good book?”
- Chapter 1 provides a true introduction to calculus with just three sections of algebra review—additional review is provided in the appendices.
- Limits at Infinity and Infinite Limits are covered together in Section 1.8 to better help students understand the differences.
- Exponential Functions are placed in Section 2.6 to provide a foundation for the chain rule in Section 2.7.
- Inverse Functions are given full treatment with derivatives in Section 2.9 to provide students with a smooth transition into Logarithms in Section 2.10.
- Parametrics are presented in the Applications of the Derivativechapter (Section 3.5), independent of the chain rule, to better support students in learning this important topic.
- Techniques of Integration (Chapter 5) comes before Applications of Definite Integrals (Chapter 6) to allow for a real, true presentation of the applications in the Applications of Definite Integralschapter.
- The presentation of conics has been streamlined since students were exposed to it in precalculus. Additional conics material is available on the Instructor Resource Center for those who prefer more coverage.
Strong, Respected Exercise Sets:
- Grouped by topic, each set of exercises contains routine, mid-level, and advanced exercises, progressing from computational problems to applied problems to theoretical problems.
- Encourages students to master the ideas of calculus and apply what they’ve learned through more difficult, multi-step problems.
Exceptional, Elegant Art Program: The elegant figures aid student comprehension with clear illustrations, considerate use of color, and indication of depth, layering and rotation.
Right amount of Rigor: Rigor is consistent throughout with both formal & informal discussions (making the clear the distinction between two), precise definitions and accessible proofs.
Strong Multivariable Coverage helps students make the leap from single variable to multivariable calculus.
MyMathLab^® is a series of text-specific, easily customizable online courses for Pearson textbooks in mathematics. MyMathLab provides a rich and flexible set of course materials, featuring free-response exercises that are algorithmically generated for unlimited practice and mastery. Adopters of the MyMathLab course for University Calculus: Elements benefit from these valuable resources:
- Java^™ Applets allow students to interact with three-dimensional visualizations of multivariable calculus problems. These exploratory questions help students visualize and experiment with abstract concepts. The pedagogical links tie the applets directly to the content of the book and are available with every section of the multivariable chapters.
- Group Projects are new applied problems that can be used as in-class examples or assigned to students working in teams. As students work through these projects, they learn how to generalize essential concepts by using calculus to creatively solve challenging real world problems.
- New MathXL^® Exercises expand on the already impressive array of problem sets in the text, giving students greater opportunities to practice solving problems. The new MathXL exercises include:
  - Precalculus Review Exercises to help students strengthen their algebra and trigonometry skills.
  - Routine, Mid-level, and Advanced Exercises to help build students’ mathematical intuition and conceptual understanding.

Table of Contents

1. Functions and Limits

1.1 Functions and Their Graphs

1.2 Combining Functions; Shifting and Scaling Graphs

1.3 Rates of Change and Tangents to Curves

1.4 Limit of a Function and Limit Laws

1.5 Precise Definition of a Limit

1.6 One-Sided Limits

1.7 Continuity

1.8 Limits Involving Infinity

Questions to Guide Your Review

Practice and Additional Exercises

2. Differentiation

2.1 Tangents and Derivatives at a Point

2.2 The Derivative as a Function

2.3 Differentiation Rules

2.4 The Derivative as a Rate of Change

2.5 Derivatives of Trigonometric Functions

2.6 Exponential Functions

2.7 The Chain Rule

2.8 Implicit Differentiation

2.9 Inverse Functions and Their Derivatives

2.10 Logarithmic Functions

2.11 Inverse Trigonometric Functions

2.12 Related Rates

2.13 Linearization and Differentials

Questions to Guide Your Review

Practice and Additional Exercises

3. Applications of Derivatives

3.1 Extreme Values of Functions

3.2 The Mean Value Theorem

3.3 Monotonic Functions and the First Derivative Test

3.4 Concavity and Curve Sketching

3.5 Parametrizations of Plane Curves

3.6 Applied Optimization

3.7 Indeterminate Forms and L'Hopital's Rule

3.8 Newton's Method

3.9 Hyperbolic Functions

Questions to Guide Your Review

Practice and Additional Exercises

4. Integration

4.1 Antiderivatives

4.2 Estimating with Finite Sums

4.3 Sigma Notation and Limits of Finite Sums

4.4 The Definite Integral

4.5 The Fundamental Theorem of Calculus

4.6 Indefinite Integrals and the Substitution Rule

4.7 Substitution and Area Between Curves

Questions to Guide Your Review

Practice and Additional Exercises

5. Techniques of Integration

5.1 Integration by Parts

5.2 Trigonometric Integrals

5.3 Trigonometric Substitutions

5.4 Integration of Rational Functions by Partial Fractions

5.5 Integral Tables and Computer Algebra Systems

5.6 Numerical Integration

5.7 Improper Integrals

Questions to Guide Your Review

Practice and Additional Exercises

6. Applications of Definite Integrals

6.1 Volumes by Slicing and Rotation About an Axis

6.2 Volumes by Cylindrical Shells

6.3 Lengths of Plane Curves

6.4 Exponential Change and Separable Differential Equations

6.5 Work and Fluid Forces

6.6 Moments and Centers of Mass

Questions to Guide Your Review

Practice and Additional Exercises

7. Infinite Sequences and Series

7.1 Sequences

7.2 Infinite Series

7.3 The Integral Test

7.4 Comparison Tests

7.5 The Ratio and Root Tests

7.6 Alternating Series, Absolute and Conditional Convergence

7.7 Power Series

7.8 Taylor and Maclaurin Series

7.9 Convergence of Taylor Series

7.10 The Binomial Series

Questions to Guide Your Review

Practice and Additional Exercises

8. Polar Coordinates and Conics

8.1 Polar Coordinates

8.2 Graphing in Polar Coordinates

8.3 Areas and Lengths in Polar Coordinates

8.4 Conics in Polar Coordinates

8.5 Conics and Parametric Equations; The Cycloid

Questions to Guide Your Review

Practice and Additional Exercises

9. Vectors and the Geometry of Space

9.1 Three-Dimensional Coordinate Systems

9.2 Vectors

9.3 The Dot Product

9.4 The Cross Product

9.5 Lines and Planes in Space

9.6 Cylinders and Quadric Surfaces

Questions to Guide Your Review

Practice and Additional Exercises

10. Vector-Valued Functions and Motion in Space

10.1 Vector Functions and Their Derivatives

10.2 Integrals of Vector Functions

10.3 Arc Length and the Unit Tangent Vector T

10.4 Curvature and the Unit Normal Vector N

10.5 Torsion and the Unit Binormal Vector B

10.6 Planetary Motion

Questions to Guide Your Review

Practice and Additional Exercises

11. Partial Derivatives

11.1 Functions of Several Variables

11.2 Limits and Continuity in Higher Dimensions

11.3 Partial Derivatives

11.4 The Chain Rule

11.5 Directional Derivatives and Gradient Vectors

11.6 Tangent Planes and Differentials

11.7 Extreme Values and Saddle Points

11.8 Lagrange Multipliers

Questions to Guide Your Review

Practice and Additional Exercises

12. Multiple Integrals

12.1 Double and Iterated Integrals over Rectangles

12.2 Double Integrals over General Regions

12.3 Area by Double Integration

12.4 Double Integrals in Polar Form

12.5 Triple Integrals in Rectangular Coordinates

12.6 Moments and Centers of Mass

12.7 Triple Integrals in Cylindrical and Spherical Coordinates

12.8 Substitutions in Multiple Integrals

Questions to Guide Your Review

Practice and Additional Exercises

13. Integration in Vector Fields

13.1 Line Integrals

13.2 Vector Fields, Work, Circulation, and Flux

13.3 Path Independence, Potential Functions, and Conservative Fields

13.4 Green's Theorem in the Plane

13.5 Surface Area and Surface Integrals

13.6 Parametrized Surfaces

13.7 Stokes' Theorem

13.8 The Divergence Theorem and a Unified Theory

Questions to Guide Your Review

Practice and Additional Exercises

Appendices

1. Real Numbers and the Real Line

2. Mathematical Induction

3. Lines, Circles, and Parabolas

4. Trigonometric Functions

5. Basic Algebra and Geometry Formulas

6. Proofs of Limit Theorems and L'Hopital's Rule

7. Commonly Occurring Limits

8. Theory of the Real Numbers

9. Convergence of Power Series and Taylor's Theorem

10. The Distributive Law for Vector Cross Products

11. The Mixed Derivative Theorem and the Increment Theorem

12. Taylor's Formula for Two Variables

Courses

Calculus [COMPLETE TEXTS (CALCULUS 1-3)] (Mathematics)

In this section:

Thomas' Calculus
Author Bios

Author Bios

Joel Hass received his PhD from the University of California—Berkeley. He is currently a professor of mathematics at the University of California—Davis. He has coauthored six widely used calculus texts as well as two calculus study guides. He is currently on the editorial board of Geometriae Dedicata and Media-Enhanced Mathematics. He has been a member of the Institute for Advanced Study at Princeton University and of the Mathematical Sciences Research Institute, and he was a Sloan Research Fellow. Hass’s current areas of research include the geometry of proteins, three dimensional manifolds, applied math, and computational complexity. In his free time, Hass enjoys kayaking.

Maurice D. Weir holds a DA and MS from Carnegie-Mellon University and received his BS at Whitman College. He is a Professor Emeritus of the Department of Applied Mathematics at the Naval Postgraduate School in Monterey, California. Weir enjoys teaching Mathematical Modeling and Differential Equations. His current areas of research include modeling and simulation as well as mathematics education. Weir has been awarded the Outstanding Civilian Service Medal, the Superior Civilian Service Award, and the Schieffelin Award for Excellence in Teaching. He has coauthored eight books, including the University Calculus series and the twelfth edition of Thomas’ Calculus.

George B. Thomas, Jr. (late) of the Massachusetts Institute of Technology, was a professor of mathematics for thirty-eight years; he served as the executive officer of the department for ten years and as graduate registration officer for five years. Thomas held a spot on the board of governors of the Mathematical Association of America and on the executive committee of the mathematics division of the American Society for Engineering Education. His book, Calculus and Analytic Geometry, was first published in 1951 and has since gone through multiple revisions. The text is now in its twelfth edition and continues to guide students through their calculus courses. He also co-authored monographs on mathematics, including the text Probability and Statistics.

Websites and Online Courses

In this section:

Websites and Online Courses

MathXL -- Instant Access -- for University Calculus: Elements
Hass, Weir & Thomas
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 0321536223 | ISBN-13: 9780321536228
Online purchase price: $50.00More Info

MyMathLab with eBook -- Instant Access -- for University Calculus: Elements with Early Transcendentals
Hass, Weir & Thomas
©2009 | On-line Supplement; 791 pp | Access Code Required | Live
ISBN-10: 0321567250 | ISBN-13: 9780321567253
Online purchase price: $82.00 | Students, buy access Take a Tour | More 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 Solutions Manual Part 1 for University Calculus: Elements with Early Transcendentals
Hass, Weir & Thomas
©2009 | Pearson | Paper; 470 pp | Instock
ISBN-10: 0321536274 | ISBN-13: 9780321536273

Instructor's Solutions Manual Part 2 for University Calculus: Elements with Early Transcendentals
Hass, Weir & Thomas
©2009 | Pearson | Paper; 226 pp | Instock
ISBN-10: 0321536231 | ISBN-13: 9780321536235

PowerPoint Slides (Download only) for University Calculus: Elements with Early Transcendentals
Hass, Weir & Thomas
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 0321559215 | ISBN-13: 9780321559210

TestGen® Computerized Test Bank for University Calculus: Elements with Early Transcendentals
Hass, Weir & Thomas
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 032153610X | ISBN-13: 9780321536105

Websites and online courses

Other student resources

Addison-Wesley's Calculus Review, Part 1, 2/E
Hass & Weir
©2008 | Pearson | Paper | Instock
ISBN-10: 0321398416 | ISBN-13: 9780321398413
Net price: $3.00 (What's this?)More Info

Addison-Wesley's Calculus Review, Part 2, 2/E
Hass & Weir
©2008 | Pearson | Paper | Instock
ISBN-10: 0321398408 | ISBN-13: 9780321398406
Net price: $3.00 (What's this?)More Info

Student Solutions Manual Part 1 for University Calculus: Elements with Early Transcendentals
Hass, Weir & Thomas
©2009 | Pearson | Paper; 200 pp | Instock
ISBN-10: 0321536088 | ISBN-13: 9780321536082
Net price: $27.50 (What's this?)More Info

Student Solutions Manual Part 2 for University Calculus: Elements with Early Transcendentals
Hass, Weir & Thomas
©2009 | Pearson | Paper; 108 pp | Instock
ISBN-10: 0321559177 | ISBN-13: 9780321559173
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

Give your students a choice! PearsonChoices products are designed to give your students more value and flexibility by letting them choose from a variety of text and media formats to best match their learning style and their budget.

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, see the Packages Tab.

University Calculus: Elements Plus Early Transcendentals, Books a la Carte Plus MyMathLab/MyStatLab Student Access Kit
Hass, Weir & Thomas
©2009 | Pearson | Kit/Package/ShrinkWrap | Instock
ISBN-10: 0321674545 | ISBN-13: 9780321674548
Net price: $78.50 (What's this?)More Info
University Calculus: Elements plus MyMathLab Student Starter Kit
Hass, Weir & Thomas
©2009 | Pearson | Cloth Package; 832 pp | Instock
ISBN-10: 032157057X | ISBN-13: 9780321570574
Net price: $102.50 (What's this?)More Info
University Calculus: Elements with Early Transcendentals, Books a la Carte Edition
Hass, Weir & Thomas
©2009 | Pearson | Unbound (Saleable) | Instock
ISBN-10: 0321679970 | ISBN-13: 9780321679970
Net price: $57.00 (What's this?)More Info
University Calculus: Elements with Early Transcendentals, CourseSmart eTextbook
Hass, Weir, Thomas, Finney & Giordano
©2009 | Pearson | Electronic Book; 791 pp | Available
ISBN-10: 0321546741 | ISBN-13: 9780321546746
Online purchase price: $50.99
Brief Description |
CourseSmart eTextbooks are a creative digital solution that offers the freedom and convenience of online, offline, and mobile access using a single platform. With a CourseSmart eTextbook, students can:
search the text
make notes online
print out reading assignments that incorporate lecture notes
bookmark important passages for later review
save money. As an alternative to purchasing the print textbook, students can subscribe to the same content online for a significant discount off the suggested list price of the print text.
For more information, or to subscribe to the CourseSmart eTextbook, visit www.coursesmart.com (for customers in U.S. and Canada) or www.coursesmart.co.uk (for customers in Europe, Middle East, and Africa).
More Info
| Students, buy access

I accept, proceed with download

This product is a member of the following series. Click on the series name to see the full list of products in the series.

University Calculus Series

Password:

Forgot login/password? | Need to redeem an access code?

We're sorry!

We don't recognize your login or password. Please try again.

If you continue to have problems, try retrieving your login name password or contacting Customer Technical Support.

We're sorry!

The account you used to log in on the previous website does not contain IRC access.
If you have a separate IRC count, please log in using that login name and password.
If you do not have an IRC account, you canrequest access here

close window

Your access will expire soon.

To ensure uninterrupted service, you should renew your access for this site soon.

Renew now or proceed without renewing.

close window

We're sorry!

Your access to the Instructor Resource Center has expired.

To continue using the IRC, renew your access now.

An internal error has occurred. Please try again.

Instructor Resource Center File Download

This work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from this site should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials.

Cancel