Acknowledgements

Techniques of Calculus 1 is licensed under a CC BY-NC-SA, except where otherwise noted.

This text is provided to you as an Open Educational Resource (OER) which you access online. It is designed to give you a comprehensive introduction to calculus with emphasis on applications in economics and the social sciences.  It contains both written and graphic text material, intra-text links to other internal material which may aid in understanding topics and concepts, intra-text links to the appendices and glossary for tables and definitions of words, and extra-text links to videos and web material that clarifies and augments topics and concepts.

Chapters and sections were adapted from the the following OER textbooks. Without these foundational texts, a lot more work would have been required to complete this project. Thank you to those authors who shared their work before us.

Business Calculus, Copyright © 2013 Shana Calaway, Dale Hoffman, David Lippman. This text is licensed under a Creative Commons Attribution 3.0 United States License.

  • 1.2 Operations of Functions
  • 1.3 Linear Functions
  • 1.5 Quadratics
  • 1.6 Polynomials and Rational Functions
  • 1.7 Exponential Functions
  • 1.8 Logarithmic Functions
  • 2.1 Limits and Continuity
  • 2.2 The Derivative
  • 2.3 The Power and Sum Rules for Derivatives
  • 2.4 Product and Quotient Rules
  • 2.5 Chain Rule
  • 2.6 Second Derivative and Concavity
  • 2.7 Optimization
  • 2.8 Curve Sketching
  • 2.9 Applied Optimization
  • 2.11 Implicit Differentiation and Related Rates
  • 3.7 Applications to Business

Calculus Volume 1, Copyright © 2020 Edwin Herman, Gilbert Strang. This text is licensed under a Creative Commons Attribution-Non Commercial-ShareAlike 4.0 International (CC BY-NC-SA)

  • 1.1 Review of Functions
  • 1.2 Basic Classes of Functions
  • 1.3 Trigonometric Functions
  • 1.5 Exponential and Logarithmic Functions
  • 2.2 The Limit of a Function
  • 3.9 Derivatives of Exponential and Logarithmic Functions
  • 4.3 Maxima and Minima
  • 4.4 The Mean Value Theorem
  • 5.1 Approximating Areas
  • 5.2 The Definite Integral
  • 5.3 The Fundamental Theorem of Calculus
  • 5.4 Integration Formulas and the Net Change Theorem
  • 5.5 Substitution
  • 6.1 Areas between Curves

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Techniques of Calculus 1 by Larry Musolino is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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