Calculus by Michael Sullivan, Kathleen Miranda - Second Edition, 2019 from Macmillan Student Store

Calculus

Second  Edition©2019 Michael Sullivan, Kathleen Miranda

About


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.

 

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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

 

Michael Sullivan

Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Before retiring, Mike taught at Chicago State for 35 years, where he honed an approach to teaching and writing that forms the foundation for his textbooks. Mike has been writing for over 35 years and currently has fifteen books in print. His books have been awarded both Texty and McGuffey awards from TAA.

Mike is a member of both the American Mathematical Society and the Mathematical Association of America and the Text and Academic Authors Association, and received the TAA Lifetime Achievement Award in 2007. His influence in the field of mathematics extends to his four children: Kathleen, who teaches college mathematics; Michael III, who also teaches college mathematics, and who is his coauthor on two precalculus series; Dan, who is a sales director for a college textbook publishing company; and Colleen, who teaches middle-school and secondary school mathematics. Twelve grandchildren round out the family.

 

Kathleen Miranda

Kathleen Miranda, Ed.D from St. John's University, is an Emeritus Associate Professor of the State University of New York (SUNY) where she taught for 25 years. Kathleen is a recipient of the prestigious New York State Chancellor’s Award for Excellence in Teaching, and particularly enjoys teaching mathematics to underprepared and fearful students.  In addition to her extensive classroom experience, Kathleen has worked an accuracy reviewer and solutions author on several mathematics textbooks, including Michael Sullivan’s Brief Calculus and Finite Mathematics. Kathleen’s goal is to help students unlock the complexities of calculus and appreciate its many applications.
 
Kathleen has four children: Edward, a plastic surgeon in San Francisco, James, an emergency medicine physician in Philadelphia, Kathleen, a chemical engineer, working on vaccines, and Michael, a management consultant specializing in corporate strategy.