# Calculus Volume 1

Gilbert Strang, MIT

Edwin Herman, University of Wisconsin-Stevens Point

Pub Date: 2016

ISBN 13: 9781938168024

Publisher: OpenStax

Language: English

## Conditions of Use

Attribution-NonCommercial-ShareAlike

CC BY-NC-SA

## Reviews

This book contains all of the topics and material you would expect to see in a first calculus course. It starts with a review of functions, moves to limits, and then proceeds through differentiation and integration. There is a nice mix of theory... read more

From the start, this book gives a comprehensive (yet straight forward) review of the necessary function knowledge. There is even a “Review of Pre-Calculus” at the end of the text, which contains all relevant formulas and identities. Before... read more

The book is comprehensive. It covers the entirety of the usual Calculus I curriculum and includes sections with applications that are particularly helpful. read more

The test covered all necessary topics for an introductory calculus course with a particularly strong eye to understanding functions. Glossaries appeared at the end of each section, and the index was useful and contained all expected references. A... read more

The text covers the same material that is covered in Calculus 1 textbooks that I have used in the past and that other members of the department still use. There is an index at the end of the text and there is a glossary at the end of each section.... read more

The table of contents and material covered is very similar to most standard, traditional Calculus textbooks intended for the first semester of study. In that regard, this textbook is extremely comprehensive. I like the learning objectives... read more

This book covers all major topics in a typical first calculus course. Our curriculum also includes numerical integration, which is in the corresponding Calculus II text, but that single section could be easily incorporated into our Calculus I... read more

This text was very comprehensive. It covered every section that our current book covers for 251 and 252. read more

This text covers the same material as other common Calculus I textbooks. I was unable to find any major topic that is covered in my classes currently that wasn't covered in this book. There are helpful glossaries at the end of each chapter, but no... read more

## Table of Contents

Preface

- Functions and Graphs
- Limits
- Derivatives
- Applications of Derivatives
- Integration
- Applications of Integration

Table of Integrals

Table of Derivatives

Review of Pre-Calculus

## About the Book

*Calculus* is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.

OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.

## About the Contributors

### Authors

**Gilbert Strang** was an undergraduate at MIT and a Rhodes Scholar at Balliol College, Oxford. His Ph.D. was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT, an Honorary Fellow of Balliol College, and a member of the National Academy of Sciences. Professor Strang has published eleven books.

He was the President of SIAM during 1999 and 2000, and Chair of the Joint Policy Board for Mathematics. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world. His home page is math.mit.edu/~gs/ and his video lectures on linear algebra and on computational science and engineering are on ocw.mit.edu

**Edwin "Jed" Herman**, Professor, Department of Mathematical Sciences, University of Wisconsin-Stevens Point. Ph.D., Mathematics, University of Oregon?.?