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Read more about Calculus One

Calculus One

(2 reviews)

Roman Holowinsky, Columbus, Ohio

Johann Thiel, Brooklyn, New York

David Lindberg, Columbus, Ohio

Copyright Year: 2014

Publisher: Mooculus

Language: English

Formats Available

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Reviewed by Ree Migliozzi, Adjunct Professor, Holyoke Community College on 6/30/21

The review of funcitons could be more comprehensive to include trig functions, exponentials, logarithmics. There is an index, but no glossary. read more

Reviewed by Jia Wan, Assistant Professor, Randolph College on 11/30/19

Sections are arranged in a reasonable order. The only thing I'd wish to have in Calc I is the exponential functions, their inverses (logs) and their derivatives. But I understand even for traditional Calc books, not all of them contain such content. read more

Table of Contents

  • 0 Functions
  • 1 Limits
  • 2 Infinity and Continuity
  • 3 Basics of Derivatives
  • 4 Curve Sketching
  • 5 The Product Rule and Quotient Rule
  • 6 The Chain Rule
  • 7 The Derivatives of Trigonometric Functions and their Inverses
  • 8 Applications of Differentiation
  • 9 Optimization
  • 10 Linear Approximation
  • 11 Antiderivatives
  • 12 Integrals
  • 13 The Fundamental Theorem of Calculus
  • 14 Techniques of Integration
  • 15 Applications of Integration

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About the Book

Calculus is about the very large, the very small, and how things change—the surprise is that something seemingly so abstract ends up explaining the real world.

This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. One learns calculus by doing calculus, and so this course is based around doing practice problems.

About the Contributors


Roman Holowinsky has been a professor in the OSU Math Department since Fall 2010. His research in the field of analytic number theory with a focus on L-functions and modular forms. Roman is an Alfred P. Sloan fellow and the recipient of the 2011 SASTRA Ramanujan prize.

Johann Thiel is an assistant professor at New York City College of Technology. His main research interests lie in analytic number theory and its applications. In his classes, Johann enjoys designing live demonstrations to illustrate mathematical concepts. Johann has built some of the explorations for mooculus.

David Lindberg is a mathematics masters student at OSU. For Calculus One, David is performing data analysis on the exercises to help improve the educational aspects of mooculus.

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