Calculus: Early Transcendentals, Global Edition (2^nd Ed.)

For a three-semester or four-quarter calculus course covering single variable and multivariable calculus for mathematics, engineering, and science majors.

This much anticipated second edition of the most successful new calculus text published in the last two decades retains the best of the first edition while introducing important advances and refinements. Authors Briggs, Cochran, and Gillett build from a foundation of meticulously crafted exercise sets, then draw students into the narrative through writing that reflects the voice of the instructor, examples that are stepped out and thoughtfully annotated, and figures that are designed to teach rather than simply supplement the narrative. The authors appeal to students? geometric intuition to introduce fundamental concepts, laying a foundation for the development that follows. The groundbreaking eBook contains over 650 Interactive Figures that can be manipulated to shed light on key concepts.

• 1. Functions
• 2. Limits
• 3. Derivatives
• 4. Applications of the Derivative
• 5. Integration
• 6. Applications of Integration
• 7. Integration Techniques
• 8. Sequences and Infinite Series
• 9. Power Series
• 10. Parametric and Polar Curves
• 11. Vectors and Vector-Valued Functions
• 12. Functions of Several Variables
• 13. Multiple Integration
• 14. Vector Calculus
• Appendix A. Algebra Review
• Appendix B. Proofs of Selected Theorems
• D1. Differential Equations (online)
• D1.1 Basic Ideas
• D1.2 Direction Fields and Euler’s Method
• D1.3 Separable Differential Equations
• D1.4 Special First-Order Differential Equations
• D1.5 Modeling with Differential Equations
• D2. Second-Order Differential Equations (online)
• D2.1 Basic Ideas
• D2.2 Linear Homogeneous Equations
• D2.3 Linear Nonhomogeneous Equations
• D2.4 Applications
• D2.5 Complex Forcing Functions
  
  

Reflects how students use a textbook— they generally start with the exercises and flip back to the narrative for help if they need it.

• Comprehensive exercise sets provide for a variety of student needs and are consistently structured and labeled to facilitate the creation of homework assignments.
  • Review Questions check that students have a general conceptual understanding of the essential ideas from the section.
  • Basic Skills exercises are linked to examples in the section so students get off to a good start with homework.
  • Further Explorations exercises extend students’ abilities beyond the basics.
  • Applications present practical and novel applications and models that use the ideas presented in the section.
  • Additional Exercises challenge students to stretch their understanding by working through abstract exercises and proofs.
  • NEW! 20% more exercises, including more mid-level exercises to enhance the pace of the book and give students more of a computational footing for the exercises that follow.
• When students flip back to the narrative for help with exercises, they find:
  • Writing that reflects the voice of the instructor.
  • Plentiful examples, each stepped-out in detail. Within examples, the steps are annotated in blue type to help students understand what took place in each step.
  • Figures that are designed to teach rather than simply supplement the narrative. The figures are annotated to lead students through the key ideas, and rendered using the latest software for unmatched clarity and precision.
  • Quick Check exercises punctuate the narrative at key points to test understanding of basic ideas and encourage students to read with pencil in hand.
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