Addison-Wesley / Prentice Hall

Mathematics

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University Calculus: Alternate Edition, Part One (Single Variable, Chap 1-9)
Joel R. Hass, University of California, Davis
Maurice D. Weir, Naval Postgraduate School
George B. Thomas, Jr., Massachusetts Institute of Technology

ISBN-10: 0321475194
ISBN-13: 9780321475190

Publisher: Addison-Wesley
Copyright: 2008
Format: Paper; 720 pp
Published: 01/23/2007

Suggested retail price: $85.33
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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. University Calculus: Alternate 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. 

 

University Calculus: Alternate Edition, Part One is suitable for the first two semesters or three quarters of a 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®.

  • Faster-paced and less expensive than Thomas’ Calculus, Eleventh Edition, this text retains the high quality of writing, art, and number of exercises.
  • Strong Examples and Exercise Sets encourage students to think clearly about the problems, reinforcing their mathematical intuition.
  • Exceptional Art Captions and Multifigured Images provide insight for students and support quantitative and conceptual reasoning
  • Flexible Table of Contents that divides complex topics into smaller sections and provides instructors with unlimited flexibility in creating course outlines. The table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 and continues to revisit these ideas in subsequent chapters of the text.
  • Enhanced MyMathLab™ for the Thomas’ Calculus Series.  MyMathLab™ is a series of text-specific, easily customizable online courses for Addison-Wesley 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. Instructors can use the homework and test managers to select and assign online exercises correlated directly to the textbook, and they can import TestGen® tests into MyMathLab for added flexibility.  The enhancements for the media edition of Thomas include:
    • New 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 in the in the classroom 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

1.1 Functions and Their Graphs

1.2 Combining Functions; Shifting and Scaling Graphs

1.3 Trigonometric Functions

1.4 Graphing with Calculators and Computers

 

2. Limits and Continuity

2.1 Rates of Change and Tangents to Curves

2.2 Limit of a Function and Limit Laws

2.3 The Precise Definition of a Limit

2.4 One-Sided Limits and Limits at Infinity

2.5 Infinite Limits and Vertical Asymptotes

2.6 Continuity

2.7 Tangents and Derivatives at a Point

 

3. Differentiation

3.1 The Derivative as a Function

3.2 Differentiation Rules

3.3 The Derivative as a Rate of Change

3.4 Derivatives of Trigonometric Functions

3.5 The Chain Rule

3.6 Implicit Differentiation

3.7 Related Rates

3.8 Linearization and Differentials

3.9 Parametrizations of Plane Curves

 

4. Applications of Derivatives

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

4.3 Monotonic Functions and the First Derivative Test

4.4 Concavity and Curve Sketching

4.5 Applied Optimization

4.6 Newton's Method

4.7 Antiderivatives

 

5. Integration

5.1 Area and Estimating with Finite Sums

5.2 Sigma Notation and Limits of Finite Sums

5.3 The Definite Integral

5.4 The Fundamental Theorem of Calculus

5.5 Indefinite Integrals and the Substitution Rule

5.6 Substitution and Area Between Curves

 

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 Areas of Surfaces of Revolution

6.5 Work

6.6 Moments and Centers of Mass

6.7 Fluid Pressures and Forces

 

7. Transcendental Functions

7.1 Inverse Functions and Their Derivatives

7.2 Natural Logarithms

7.3 Exponential Functions

7.4 Inverse Trigonometric Functions

7.5 Exponential Change and Separable Differential Equations

7.6 Indeterminate Forms and L'Hopital's Rule

7.7 Hyperbolic Functions

 

8. Techniques of Integration

8.1 Integration by Parts

8.2 Trigonometric Integrals

8.3 Trigonometric Substitutions

8.4 Integration of Rational Functions by Partial Fractions

8.5 Integral Tables and Computer Algebra Systems

8.6 Numerical Integration

8.7 Improper Integrals

 

9. Infinite Sequences and Series

9.1 Sequences

9.2 Infinite Series

9.3 The Integral Test

9.4 Comparison Tests

9.5 The Ratio and Root Tests

9.6 Alternating Series, Absolute and Conditional Convergence

9.7 Power Series

9.8 Taylor and Maclaurin Series

9.9 Convergence of Taylor Series

9.10 The Binomial Series

 

10. Polar Coordinates and Conics

10.1 Polar Coordinates

10.2 Graphing in Polar Coordinates

10.3 Areas and Lengths in Polar Coordinates

10.4 Conic Sections

10.5 Conics in Polar Coordinates

10.6 Conics and Parametric Equations; The Cycloid

View a Sample Chapter PDF:

 

Thomas Thomas MyMathLab Thomas Applet Movie



For Calculus


  • Using MATLAB in Calculus
    Jensen
    © 2000 | Prentice Hall | Paper; 192 pages | Instock
    ISBN-10: 013027268X | ISBN-13: 9780130272683


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