## Preface Copyright

This text, including the art and illustrations, are available under the Creative Commons license (CC BY-NC-SA), allowing anyone to reuse, revise, remix and redistribute the text. For more info visit http://creativecommons.org/licenses/bync-sa/4.0/

*Calculus Early Transcendentals Differential & Multi-Variable Calculus for Social Sciences* was adapted by Petra Menz and Nicola Mulberry from Lyryx' textbook, *Calculus Early Transcendentals an Open Text* (VERSION 2017- REVISION A) licensed under a Creative Commons Attribution Non-Commercial Share-Alike 3.0 Unported License (CC BY-NC-SA 3.0).

Unless otherwise noted, *Calculus Early Transcendentals for Differential & Multi-Variable Calculus for Social Sciences* is (c) 2018 by Lyryx. The textbook content was produced by Lyryx Learning Team and is licensed under a Creative Commons Attribution Non-commercial Share-Alike 3.0 Unported license, except for the following changes and additions, which are (c) 2018 by Petra Menz, and are licensed under a Creative Commons Attribution Non-commercial Share-Alike 4.0 International license. Examples, in particular applications, have been added throughout the textbook to further illustrate concepts and to reflect social science calculus content; exercises have been added throughout the textbook to provide more extensive practice, and information throughout the book, as applicable, has been revised to reflect social science calculus content and modified to visually align definitions, theorems and guidelines established in the textbook. The following additions have been made to these chapters:

Chapter 2:

Transformation of Trigonometric Functions

Symmetry

Economic Models (Demand and Supply Functions, Cost, Revenue and Profit functions)

Chapter 3:

Distinction between Limit at Infinity and Infinite Limits

Chapter 4:

Secant & Tangent Lines, Tangent Line Equation

Differentiating \(x\) and \(y\) as Functions of \(t\)

Logarithmic Differentiation

Chapter 5:

Elasticity of Demand

Error Approximations

Indeterminate Forms

Reorganization of Newton's Method and Curve Sketching

Chapter 7 formerly Chapter 13:

Second-Order Partial Derivatives

The following deletions have been made: Hyperbolic Functions, Integration Calculus, Sequences and Series, Differential Equations, Polar Coordinates, Parametric Equations, Vector Calculus.