# Calculus

## Second EditionMichael Sullivan, Kathleen Miranda

©2019
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**A calculus book written with you in mind.**

As educators we understand the challenges you face in this course, and as authors we have crafted a text that gives you the tools to meet them. This book has examples with clear explanations to help you learn how to logically solve mathematics problems. Read and work the examples and do the suggested NOW WORK Problems listed after them. Take advantage of the book’s many features to help you to master calculus. Whether you are majoring in life sciences, business or economics, engineering or mathematics, this book has many applied exercises—some written by students like you—related to courses in a wide variety of majors. And a robust online support system includes a suite of easy-to-use and powerfully built learning tools, which include stepped-out examples, video tutorials, interactive figures, assessment quizzes, and hundreds of practice exercises with feedback and solutions.

## Table of Contents

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