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Calculus : Concepts and Connections - 06 edition

Calculus : Concepts and Connections (ISBN10: 007330929X; ISBN13: 9780073309293)
ISBN13: 978-0073309293
ISBN10: 007330929X

This edition has also been released as:
ISBN13: 978-0072826234, 978-0073012667, 978-0073016078
ISBN10: 0072826231, 0073012661, 0073016071

Summary: This modern calculus textbook places a strong emphasis on developing students' conceptual understanding and on building connections between key calculus topics and their relevance for the real world. It is written for the average student -- one who is mostly unfamiliar with the subject and who requires significant motivation. It follows a relatively standard order of presentation, with early coverage of transcendentals, and integrates thought-provoking applications, moreexamples and exercises throughout. The text also provides balanced guidance on the appropriate role of technology in problem-solving, including its benefits and its potential pitfalls. Wherever practical, concepts are developed from graphical, numerical, algebraic and verbal perspectives (the "Rule of Four") to give students a complete understanding of calculus.

New Features

  • EARLY TRANSCENDENTALS APPROACH: The text presents all transcendental functions and their derivatives as part of differential calculus so that students become familiar with these key topics early on and can utilize them in more advanced material later in the book.
  • EMPHASIS ON PROBLEM SOLVING: The text strongly promotes problem-solving skills by frequently examining topics from graphical, numerical and algebraic points of view. This approach allows the authors to explore more realistic and complex problems than are often presented in calculus. As a result, students gain a better sense of the usefulness of calculus and can solve a wider variety of problems.
  • EXPLANATIONS: The authors offer clear, intuitive explanations throughout the text to provide highly student-friendly introductions to complex topics in calculus.
  • APPLICATIONS: The use of applications to relate calculus to the real world is a true strength of this text. Most concepts are developed with an applied focus in order to motivate the presentation of new topics, further illustrate topics already presented, and connect the conceptual development of calculus with students' everyday experiences.
  • BALANCED EXERCISE SETS: This text contains thousands of exercises, found at the end of each section and chapter. Each exercise set has been carefully designed to provide a wide variety of routine, moderate, and challenging exercises. The authors have taken great care to create original and imaginative exercises that provide an appropriate review of the topics covered in each section and chapter.
  • WRITING EXERCISES: Each exercise set begins with a set of writing exercises that are intended to encourage students to carefully consider important mathematical concepts and ideas and to express them in their own words. The writing exercises may also be used as springboards for class discussion.
  • TECHNOLOGY GUIDANCE: The authors believe that technology is part of the coherent development of calculus and that students should learn to use it judiciously. Throughout the text, they discuss the appropriate role of technology in problem-solving and its benefits and drawbacks. The technology used in this text is shared by virtually all graphing calculators and computer algebra systems. less

Edition/Copyright: 06
Cover: Hardback
Publisher: McGraw-Hill Publishing Company
Published: 05/23/2007
International: No

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