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University Calculus: Elements with Early Transcendentals
Joel Hass, University of California, Davis
Maurice D. Weir, Naval Postgraduate School
George B. Thomas, Jr., Massachusetts Institute of Technology

ISBN-10: 0321533488
ISBN-13: 9780321533487

Publisher: Addison-Wesley
Copyright: 2009
Format: Cloth; 791 pp
Published: 02/14/2008

Suggested retail price: $109.33
Buy from myPearsonStore



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.

 

  • 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.

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

View a Sample Chapter PDF:

 

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    Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus Early Transcendentals, Media Upgrade, Eleventh Edition responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. 

     

    Thomas’ Calculus Early Transcendentals, Media Upgrade, Eleventh Edition is now available with an enhanced MyMathLab™ course—the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab™ course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.



  • 0321495756Thomas' Calculus, Early Transcendentals, Media Upgrade, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Cloth; 1212 pages | Estimated Availability: 02/02/2009
    ISBN-10: 0321495756 | ISBN-13: 9780321495754
    Brief Description

    • Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus Early Transcendentals, Part One, Media Upgrade, Eleventh Edition responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. 

     

    Thomas’ Calculus Early Transcendentals, Part One, Media Upgrade, Eleventh Edition is now available with an enhanced MyMathLab™ course—the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab™ course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.

  • 0321498747Thomas' Calculus, Early Transcendentals, Media Upgrade, Part One, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper; 864 pages | Instock
    ISBN-10: 0321498747 | ISBN-13: 9780321498748
    Brief Description | Buy from myPearsonStore

    • Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. 

     

    Thomas’ Calculus, Media Upgrade, Eleventh Edition is now available with an enhanced MyMathLab™ course—the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.

  • 032148987XThomas' Calculus, Media Upgrade, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Cloth; 1228 pages | Instock
    ISBN-10: 032148987X | ISBN-13: 9780321489876
    Brief Description | Buy from myPearsonStore

    • <>Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part One responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. 

     

    Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part One is now available with an enhanced MyMathLab™ course–the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.

  • 0321498755Thomas' Calculus, Media Upgrade, Part One (Single Variable), 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper; 864 pages | Instock
    ISBN-10: 0321498755 | ISBN-13: 9780321498755
    Brief Description | Buy from myPearsonStore

    • Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part Two responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. 

     

    Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part Two is now available with an enhanced MyMathLab™ course—the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.

  • 0321501039Thomas' Calculus, Media Upgrade, Part Two (Multivariable, Chap 11-16), 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper | Instock
    ISBN-10: 0321501039 | ISBN-13: 9780321501035
    Brief Description | Buy from myPearsonStore

    • This streamlined version of ‘Thomas’ Calculus’ provides a faster-paced, precise and accurate presentation of calculus for a college-level calculus course. ‘University Calculus’ covers both single variable and multivariable calculus and is appropriate for a three semester or four quarter course.

     

    University Calculus is the ideal choice for professors who want a faster-paced text with a more conceptually balanced exposition.  It is a blend of intuition and rigor.  Transcendental functions are introduced early, and are continually revisited in more depth in subsequent chapters of the text

  • 0321350146University Calculus
    Hass, Weir & Thomas
    © 2007 | Addison-Wesley | Cloth; 930 pages | Instock
    ISBN-10: 0321350146 | ISBN-13: 9780321350145
    Brief Description | Buy from myPearsonStore

    • Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. University Calculus: Alternate Edition responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. 

     

    The Alternate Edition is the perfect alternative for instructors who want the same quality and quantity of exercises as Thomas’ Calculus, Media Upgrade, Eleventh Edition but prefer a faster-paced presentation.

     

    University Calculus: Alternate Edition is now available with an enhanced MyMathLab™ course—the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab™ course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.

     

  • 0321471962University Calculus: Alternate Edition
    Hass, Weir & Thomas
    © 2008 | Addison-Wesley | Cloth; 1056 pages | Instock
    ISBN-10: 0321471962 | ISBN-13: 9780321471963
    Brief Description | Buy from myPearsonStore

    • 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.

     

  • 0321533488University Calculus: Elements with Early Transcendentals
    Hass, Weir & Thomas
    © 2009 | Addison-Wesley | Cloth; 791 pages | Instock
    ISBN-10: 0321533488 | ISBN-13: 9780321533487
    Brief Description | Buy from myPearsonStore

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