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Applied Calculus
An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.
- Author
- Shana Calaway, Dale Hoffman, & David Lippman
- Publisher
- LibreTexts
- Source
- LibreTexts
- License
- CC BY
- Language
- EN
- Category
- Basic Sciences
Contents· 40 sections
- 01: Review
- 1.01: Functions
- 1.02: Operations on Functions
- 1.03: Linear Functions
- 1.04: Exponents
- 1.05: Quadratics
- 1.06: Polynomials and Rational Functions
- 1.07: Exponential Functions
- 1.08: Logarithmic Functions
- 1.E: Review (Exercises)
- 02: The Derivative
- 2.01: Prelude to the Derivative
- 2.02: Limits and Continuity
- 2.03: The Derivative
- 2.04: Power and Sum Rules for Derivatives
- 2.05: Product and Quotient Rules
- 2.06: Chain Rule
- 2.07: Second Derivative and Concavity
- 2.08: Optimization
- 2.09: Curve Sketching
- 2.10: Applied Optimization
- 2.11: Other Applications
- 2.12: Implicit Differentiation and Related Rates
- 2.E: The Derivative (Exercises)
- 03: The Integral
- 3.01: Prelude to the Integral
- 3.02: The Definite Integral
- 3.03: The Fundamental Theorem and Antidifferentiation
- 3.04: Antiderivatives of Formulas
- 3.05: Substitution
- 3.06: Additional Integration Techniques
- 3.07: Area Volume and Average Value
- 3.08: Applications to Business
- 3.09: Differential Equations
- 3.E: The Integral (Exercises)
- 04: Functions of Two Variables
- 4.01: Functions of Two Variables
- 4.02: Calculus of Functions of Two Variables
- 4.03: Optimization
- 4.E: Functions of Two Variables (Exercises)