| Topic Number | Topic | Text Section | Subtopics |
| 1 | Metric spaces | 10.1 | Introduction |
| 10.2 | Limits of functions | ||
| 10.3 | Interior, closure, and boundary | ||
| 10.4 | Compactness | ||
| 10.5 | Connectedness | ||
| 10.6 | Continuity | ||
| 2 | Integrability on R | ||
| 5.1 | The Rieman Integral | ||
| 5.2 | Riemann sums | ||
| 5.3 | The Fundamental theorem of calculus | ||
| 3 | Series in R | 6.1 | Introduction |
| 6.2 | Nonnegative terms | ||
| 6.3 | Absolute convergence | ||
| 6.4 | Alternating series | ||
| 4 | Series of functions | 7.1 | Convergence of sequences |
| 7.2 | Series with noonnegative terms | ||
| 7.3 | Absolute and conditional convergence |