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# Calculus

## First EditionMichael Sullivan, Kathleen Miranda

©2014ISBN:9781464144394

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Michael Sullivan and Kathleen Miranda have written a contemporary calculus textbook that instructors will respect and students can use. Consistent in its use of language and notation, Sullivan/Miranda’s *Calculus* offers clear and precise mathematics at an appropriate level of rigor. The authors help students learn calculus conceptually, while also emphasizing computational and problem-solving skills. The book contains a wide array of problems including engaging challenge problems and applied exercises that model the physical sciences, life sciences, economics, and other disciplines. Algebra-weak students will benefit from marginal annotations that help strengthen algebraic understanding, the many references to review material, and extensive practice exercises. Strong media offerings include interactive figures and online homework. Sullivan/Miranda’s *Calculus* has been built with today’s instructors and students in mind.

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Learn More## Table of Contents

P. Preparing for Calculus

1. Limits and Continuity

2. The Derivative

3. More about Derivatives

4. Applications of the Derivative

5. The Integral

6. Applications of the Integral

7. Techniques of Integration

8. Infinite Series

9. Parametric Equations; Polar Equations

10. Vectors; Lines, Planes, and Quadric Surfaces in Space

11. Vector Functions

12. Functions of Several Variables

13. Directional Derivatives, Gradients, and Extrema

14. Multiple Integrals

15. Vector Calculus

16. Differential Equations

Appendix A Precalculus Used in Calculus

Appendix B Theorems, Proofs, and Definitions