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OpenStax Calculus:
Volume 1
Custom Business Calculus Edition
Contents
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Contents
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Front Matter
Colophon
Preface: OpenStax Calculus Volume 1
Preface: Business Calculus Custom Edition
1
Functions and Graphs
Exponents
Review of Functions: Part A
Review of Functions: Part B
Basic Classes of Functions: Part A, Lines
Basic Classes of Functions: Part B, Polynomials and Rational Functions
Mathematical Modeling
Exponential Functions
Logarithmic Functions
2
Limits
A Preview of Calculus
The Limit of a Function
The Limit Laws
Continuity
3
Derivatives
Defining the Derivative
The Derivative as a Function
Differentiation Rules
Derivatives as Rates of Change
Derivatives of Trigonometric Functions(not covered)
The Chain Rule
Derivatives of Inverse Functions
Implicit Differentiation
Derivatives of Exponential and Logarithmic Functions
4
Application of Derivatives
Elasticity of Demand
Linear Approximations
Maxima and Minima
The Mean Value Theorem(not covered)
Derivatives and the Shape of a Graph
Limits at Infinity and Asymptotes
Applied Optimization Problems
Antiderivatives
5
Integration
Approximating Areas
The Definite Integral
The Fundamental Theorem of Calculus
Integration Formulas and the Net Change Theorem(not covered)
Substitution
6
Application of Integration
Areas between Curves
Backmatter
Colophon
Authored in PreTeXt
🔗
Colophon
Colophon
🔗
This book was authored in PreTeXt.
🔗
The conversion from the OpenStax Calculus CNXML to PreTeXt format was done by Katie Hall at University of Connecticut in summer 2022. If you'd like to help improve this conversion or convert other volumes, please contact me at
katie.hall@uconn.edu
🔗
Using the PreTeXt format, this book was also edited by Kim Savinon and Katie Hall to be used for a business calculus course.