Calculus Early Transcendentals

by Sullivan, Michael; Miranda, Kathleen

• ISBN13: 9781319018351
• ISBN10: 1319018351
• Edition: 2nd
• Format: Hardcover
• Copyright: 2018-10-26
• Publisher: MPS HIGH SCHOOL

Summary

Calculus, Second Edition,was written so that students can read it. The engaging style, clear presentation, detailed examples, and just-in-time margin notes will help students learn and retain concepts.

Author Biography

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, Ed.D from St. Johns 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.

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