Chapter P
P.1 Graphs and models
P.2 Linear models and rates of change
P.3 Functions and their graphs

Chapter 1 Limits and Their Properties
1.1 A preview of calculus
1.2 Finding limits graphically and numerically
1.3 Evaluating limits analytically
1.4 Continuity and one-sided limits
1.5 Infinite limits

Chapter 2 Differentiation
2.1 The derivative and the tangent line problem
2.2 Basic differentiation rules and rates of change
2.3 The product and quotient rules and higher-order derivatives
2.4 The chain rule
2.5 Implicit differentiation
2.6 Related rates

Chapter 3 Applications of Differentiation
3.1 Extrema on an interval
3.2 Rolle's theorem and the mean-value theorem
3.3 Increasing and decreasing functions and the first derivative test
3.4 Concavity and the second derivative test
3.5 Limits at Infinity
3.6 Curve sketching
3.7 Optimization problems
3.8 Newton's method
3.9 Differentials

Chapter 4 Integration
4.1 Antiderivatives and indefinite integration
4.2 Area
4.3 Riemann sums and definite integrals
4.4 The fundamental theorem of calculus
4.5 Integration by Substitution
4.6 Numerical integration: trapezoidal rule, Simpson's rule

Chapter 6 Applications of Integration
6.1 Area of a region between two curves
6.2 Volume: the disc method
6.3 Volume: the shell method
6.4 Length and surfaces of revolution