Calculus in Context, Revised by Stade, Callahan, et al.

• Title page
• Chapter 1. A Context for calculus
  Section 1.1. Introduction: What is calculus?
  • Section 1.2. The spread of disease: the SIR model
  • Section 1.3. Prediction using SIR
  • Section 1.4. Functions and graphs
  • Section 1.5. Linear functions and proportional models
  • Section 1.6. Appendix: SIR.sws code
• Chapter 2. The derivative
  • Section 2.1. Rates of change
  • Section 2.2. Local linearity (differentiability)
  • Section 2.3. A global view
  • Section 2.4. The chain rule
  • Section 2.5. More differentiation rules
  • Section 2.6. The microscope equation
• Chapter 3. Differential equations and modeling
  • Section 3.1. The exponential function
  • Section 3.2. The natural logarithm function
  • Section 3.3. Inverse functions and the arctangent function
  • Section 3.4. Modeling with differential equations
  • Section 3.5. Modeling populations
  • Section 3.6. Modeling other phenomena
• Chapter 4. The integral
  • Section 4.1. Power and energy
  • Section 4.2. Accumulation functions
  • Section 4.3. Riemann sums
  • Section 4.4. The definite integral
  • Section 4.5. The Fundamental Theorem of Calculus
• Chapter 5. Techniques of integration
  • Section 5.1. Antiderivatives
  • Section 5.2. Integration by substitution
  • Section 5.3. Separation of variables
• Chapter 6. Probability and statistics
  • Section 6.1. Relative frequency density
  • Section 6.2. Statistical inference