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    Calculus Volume 1

    (19 reviews)

    Gilbert Strang, MIT

    Edwin Herman, University of Wisconsin-Stevens Point

    Copyright Year:

    ISBN 13: 9781938168024

    Publisher: OpenStax

    Language: English

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    Reviewed by Pat Miceli, Associate Professor, City Colleges of Chicago on 4/10/23

    The text covers all topics I was expecting except for a discussion about normal lines. This isn't required but is nice to get exposure to in Calculus 1. I would also say that about the midpoint rule for finding area under a curve, not necessary... read more

    Reviewed by Mikheil Elashvili, Part-time Faculty, Bridgewater State University on 12/9/22

    Textbook represents a well-thought compromise of comprehensive mathematical material, providing the full amount of knowledge on the given subject, but sometimes omitting the details which might be overburdening for the students, especially for... read more

    Reviewed by Nicholas Wong, Director of Introductory Mathematics, Virginia Commonwealth University on 8/18/22

    The textbook covers a full first semester of college calculus and with enough material to also be useful in an AP Calculus AB course for high school calculus teachers. read more

    Reviewed by Josh Hallam, Assistant Professor, Loyola Marymount University on 3/20/22

    This textbook contains all the material that is typically covered in a first semester calculus course. It is written in such a way that one can do either early or late transcendentals. It also contains a review of pre-calculus material and... read more

    Reviewed by Jay Daigle, Teaching Assistant Professor of Mathematics, The George Washington University on 1/30/22

    The book covers all of the topics I would expect in a first-semester "early transcendentals"-style calculus course. It contains a detailed table of contents and a thorough-seeming index. It does set itself a difficult challenge of being usable... read more

    Reviewed by Sybil Prince Nelson, Assistant, Washington & Lee University on 10/15/21

    This book covers all the topics necessary for a Calculus 1 curriculum. It even covers things that I think are optional for Calc 1 like epsilon delta definition of a limit. read more

    Reviewed by Cristina Villalobos, Professor, University of Texas Rio Grande Valley on 11/13/20

    The textbook covers topics covered by commercial textbooks. read more

    Reviewed by Igor Baryakhtar, Instructor, Massachusetts Bay Community College on 6/30/20

    This book covers the standard Calculus 1 course: traditional topics of differential calculus and the basic concepts of integral calculus. The compact review of functions helps to make a good start with calculus. The text is vivid and lucid and not... read more

    Reviewed by Ashley Fuller, Associate Professor, Richard Bland College on 10/9/19

    The text is well laid out and has topics broken down into appropriate subtopics within each larger chapter. There are extensive examples to go with each learning objective followed by practice problems to allow the student significant practice. read more

    Reviewed by Tai Jen Liu, Math instructor, St Cloud Tech & Community College on 6/24/19

    This text covers a standard list of topics for the 1st course of calculus. It begins with a chapter of functions review which is particularly useful for those non-STEM students taking calculus. It continues to differentiation and integration,... read more

    Reviewed by Leanne Merrill, Assistant Professor , Western Oregon University on 3/5/19

    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

    Reviewed by Nicole Kraft, Math Instructor, Portland Community College on 6/19/18

    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

    Reviewed by Kira Hamman, Lecturer in Mathematics, Pennsylvania State University on 2/1/18

    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

    Reviewed by Caleb Moxley, Visiting Assistant Professor, Randolph College on 8/15/17

    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

    Reviewed by Michelle Perschbacher, Adjunct Instructor of Mathematics, Northern Virginia Community College on 6/20/17

    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

    Reviewed by Steve Leonhardi, Professor of Mathematics and Statistics, Winona State University on 6/20/17

    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

    Reviewed by Angela Simons, Mathematics Instructor, Century College on 6/20/17

    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

    Reviewed by Elijah Bunnell, Mathematics Instructor, Rogue Community College on 4/11/17

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

    Reviewed by Joshua Fitzgerald, Instructor, Miami University on 8/21/16

    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

    • Chapter 1: Functions and Graphs
    • Chapter 2: Limits
    • Chapter 3: Derivatives
    • Chapter 4: Applications of Derivatives
    • Chapter 5: Integration
    • Chapter 6: Applications of Integrations

    Ancillary Material

    • OpenStax
    • 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


      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 and his video lectures on linear algebra and on computational science and engineering are on

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

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