ISBN13: 978-0534359492

ISBN10: 0534359493

es to embrace the best aspects of reform (many were incorporated in the previous edition) by combining the traditional theoretical aspects of calculus with creative teaching and learning techniques. This is accomplished by a focus on conceptual understanding, the use of real world data and real-life applications, projects, and the use of technology (where appropriate). Everyone agrees that the main goal of calculus instruction is for the student to understand the basic ideas. The goal of this book is to support this while motivating students through the use real-world applications, building the essential mathematical reasoning skills, and helping them develop an appreciation and enthusiasm for calculus.

*Features:*

...show more*'A Preview of Calculus'*is located at the beginning of the book and gives an overview of the subject. It ends with a list of questions to motivate further study.- Examples are not only models for problem-solving or a means of demonstrating techniques--they also encourage students to develop an analytic view of the subject.
- Use of technology is optional--appropriate use is recommended as a powerful stimulus to enhance mathematical discovery. Students are encouraged to use a graphing utility or computer algebra system as a tool for exploration, discovery, and problem-solving. Many opportunities to execute complicated computations, and to verify the results of other solution methods using technology are presented.
- In addition to describing the benefits of using technology, the text also pays special attention to its possible misuse or misinterpretation. Notable section: Graphing with Calculus and Calculators (Section 4.6).
- Comprehensive review sections follow each chapter. A
*'Concept Check'*and*'True/False Quiz*' allow the student to prepare for upcoming tests through ideas and skill-building. These are included to further support the idea of conceptual understanding. *'Strategies'*sections (based on George Polya's problem-solving methodology) help students select what techniques they'll need to solve problems in situations where the choice is not obvious. These sections also help them develop true problem-solving skills and intuition.*'Problems Plus'*exercises reinforce concepts by requiring students to apply techniques from more than one chapter of the text.*'Problems Plus'*sections patiently show students how to approach a challenging problem and encourage them to discover the concepts on their own, making them more likely to remember the results. Previously found at the end of every even chapter, they are now at the end.- Stewart draws on physics, engineering, chemistry, biology, medicine, and social science to motivate students and demonstrate the power of calculus as a problem-solving tool.
- A clean, user-friendly design provides a clear presentation of accuracy, clarity, and realism. The art program and its functional use of color will help students visualize mathematical concepts more easily.
- Historical and biographical margin notes enliven the course and show students that mathematics was created by living, breathing human beings.
*The Rule of Four*is incorporated where appropriate and stresses numerical, visual, algebraic, and verbal interpretations.- More than 30% of the exercises are new. Some new exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. The addition of conceptual exercises is designed to stimulate critical thinking and reinforce the concepts of calculus.
- New projects include
*'Writing Projects'*that ask students to compare present-day methods with those of the founders of calculus;*'Laboratory Projects'*featuring content that engages student interest;*'Applied Projects'*that capture students' imagination and demonstrate the real-world use of mathematics; and*'Discovery Projects'*that anticipate results to be discussed later. - A new optional chapter with an introduction to Differential Equations is unified by the theme of modeling. Qualitative, numerical, and analytic approaches are given equal consideration. This is included in the second semester.
- References to
*'Journey through Calculus'*are indicated throughout the text by the use of a marginal icon. These icons direct students to a specific activity in 'Journey through Calculus' that either leads to or expands on the concept being learned. This interactive CD-ROM shows what technology can do as a medium for teaching calculus. *The Stewart Calculus Resource Center*provides additional information on the book as well as a discussion of activities and extra problems.

*'A Preview of Calculus'*is located at the beginning of the book and gives an overview of the subject. It ends with a list of questions to motivate further study.- Examples are not only models for problem-solving or a means of demonstrating techniques--they also encourage students to develop an analytic view of the subject.
- Use of technology is optional--appropriate use is recommended as a powerful stimulus to enhance mathematical discovery. Students are encouraged to use a graphing utility or computer algebra system as a tool for exploration, discovery, and problem-solving. Many opportunities to execute complicated computations, and to verify the results of other solution methods using technology are presented.
- In addition to describing the benefits of using technology, the text also pays special attention to its possible misuse or misinterpretation. Notable section: Graphing with Calculus and Calculators (Section 4.6).
- Comprehensive review sections follow each chapter. A
*'Concept Check'*and*'True/False Quiz*' allow the student to prepare for upcoming tests through ideas and skill-building. These are included to further support the idea of conceptual understanding. *'Strategies'*sections (based on George Polya's problem-solving methodology) help students select what techniques they'll need to solve problems in situations where the choice is not obvious. These sections also help them develop true problem-solving skills and intuition.*'Problems Plus'*exercises reinforce concepts by requiring students to apply techniques from more than one chapter of the text.*'Problems Plus'*sections patiently show students how to approach a challenging problem and encourage them to discover the concepts on their own, making them more likely to remember the results. Previously found at the end of every even chapter, they are now at the end.- Stewart draws on physics, engineering, chemistry, biology, medicine, and social science to motivate students and demonstrate the power of calculus as a problem-solving tool.
- A clean, user-friendly design provides a clear presentation of accuracy, clarity, and realism. The art program and its functional use of color will help students visualize mathematical concepts more easily.
- Historical and biographical margin notes enliven the course and show students that mathematics was created by living, breathing human beings.
*The Rule of Four*is incorporated where appropriate and stresses numerical, visual, algebraic, and verbal interpretations.- More than 30% of the exercises are new. Some new exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. The addition of conceptual exercises is designed to stimulate critical thinking and reinforce the concepts of calculus.
- New projects include
*'Writing Projects'*that ask students to compare present-day methods with those of the founders of calculus;*'Laboratory Projects'*featuring content that engages student interest;*'Applied Projects'*that capture students' imagination and demonstrate the real-world use of mathematics; and*'Discovery Projects'*that anticipate results to be discussed later. - A new optional chapter with an introduction to Differential Equations is unified by the theme of modeling. Qualitative, numerical, and analytic approaches are given equal consideration. This is included in the second semester.
- References to
*'Journey through Calculus'*are indicated throughout the text by the use of a marginal icon. These icons direct students to a specific activity in 'Journey through Calculus' that either leads to or expands on the concept being learned. This interactive CD-ROM shows what technology can do as a medium for teaching calculus. *The Stewart Calculus Resource Center*provides additional information on the book as well as a discussion of activities and extra problems.

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