# Alignment: OpenStax • Calculus • Volume 1

• Chapter 1 Functions and Graphs
• 1.1 Review of Functions
• 1.2 Basic Classes of Functions
• 1.3 Trigonometric Functions
• 1.4 Inverse Functions
• 1.5 Exponential and Logarithmic Functions
• Chapter 2 Limits
• 2.1 A Preview of Calculus
• 2.2 The Limit of a Function
• 2.3 The Limit Laws
• 2.4 Continuity
• 2.5 The Precise Definition of a Limit
• Chapter 3 Derivatives
• 3.1 Defining the Derivative
• 3.2 The Derivative as a Function
• 3.3 Differentiation Rules
• 3.4 Derivatives as Rates of Change
• 3.5 Derivatives of Trigonometric Functions
• 3.6 The Chain Rule
• 3.7 Derivatives of Inverse Functions
• 3.8 Implicit Differentiation
• 3.9 Derivatives of Exponential and Logarithmic Functions
• Chapter 4 Applications of Derivatives
• 4.1 Related Rates
• 4.2 Linear Approximations and Differentials
• 4.3 Maxima and Minima
• 4.4 The Mean Value Theorem
• 4.5 Derivatives and the Shape of a Graph
• 4.6 Limits at Infinity and Asymptotes
• 4.7 Applied Optimization Problems
• 4.8 L’Hôpital’s Rule
• 4.9 Newton’s Method
• 4.10 Antiderivatives
• Chapter 5 Integration
• 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
• 5.6 Integrals Involving Exponential and Logarithmic Functions
• 5.7 Integrals Resulting in Inverse Trigonometric Functions
• Chapter 6 Applications of Integration
• 6.1 Areas between Curves
• 6.2 Determining Volumes by Slicing
• 6.3 Volumes of Revolution: Cylindrical Shells
• 6.4 Arc Length of a Curve and Surface Area
• 6.5 Physical Applications
• 6.6 Moments and Centers of Mass
• 6.7 Integrals, Exponential Functions, and Logarithms
• 6.8 Exponential Growth and Decay
• 6.9 Calculus of the Hyperbolic Functions

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