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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.

This text offers a superior teaching and learning experience. Here's how:

• A robust MyMathLab® course contains more than 7,000 assignable exercises, an eBook with 650 Interactive Figures, and built-in tutorials so students can get help when they need it.
• Reflects how students use a textbook—they start with the exercises and flip back for help if they need it.

• Organization and presentation of content facilitates learning of key concepts, skills, and applications.

  Inhalt

• 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