| Week | Date | Section | Topics |
| 1 | Aug 27 | Course introduction, 1.1 | Review of the rules of logic (from Math 3000 or 3200) |
| Aug 29 | 1.2 | Infinite sets and countability | |
| Aug 31 | 1.3, 1.4 | The field axioms for rational numbers | |
| 2 | Sep 3 | HOLIDAY | Labor Day |
| Sep 5 | 2.1 | Cauchy sequences and definition of real numbers | |
| Sep 7 | 2.2 | Ordered field axioms for the real numbers | |
| 3 | Sep 10 | 3.1.1 | Supremum and infimum |
| Sep 12 | 3.1.2 | Limits and limit points | |
| Sep 14 | 3.2 | Open and closed sets | |
| 4 | Sep 17 | 3.3 | Compact sets |
| Sep 19 | 4.1.1, 4.1.2 | Basic definition of continuous function | |
| Sep 21 | 4.1.3, 4.1.4 | Alternative definition of continuous function | |
| 5 | Sep 24 | 4.2.1 | Intermediate value theorem |
| Sep 26 | 4.2.2 | Continuous functions on compact sets | |
| Sep 28 | 4.2.3 | Monotone functions | |
| 6 | Oct 1 | REVIEW | Review of Chapters 1-4 |
| Oct 3 | EXAM | First midterm exam | |
| Oct 5 | 5.1.1 | Definition of the derivative | |
| 7 | Oct 8 | 5.1.2 | Continuous differentiability |
| Oct 10 | 5.2.1, 5.2.2 | Properties of the derivative and the intermediate value theorem | |
| Oct 12 | 5.2.2, 5.2.3 | The mean value theorem and global properties of derivatives | |
| 8 | Oct 15 | 5.3.1, 5.3.2 | The product and chain rules |
| Oct 17 | 5.3.3 | The inverse function theorem | |
| Oct 19 | 5.4.1, 5.4.2, 5.4.3 | Taylor's theorem and L'Hopital's rule | |
| 9 | Oct 22 | 6.1.1 | Definition of the Riemann integral for continuous functions |
| Oct 24 | 6.1.2 | Fundamental theorem of calculus | |
| Oct 26 | 6.2.1 | The Riemann integral more generally | |
| 10 | Oct 29 | 6.2.2 | Basic properties of the general integral |
| Oct 31 | 6.2.3 | Functions which are Riemann-integrable | |
| Nov 2 | 6.3 | Improper integrals | |
| 11 | Nov 5 | REVIEW | Review of Chapters 5-6 |
| Nov 7 | EXAM | Second midterm exam | |
| Nov 9 | 7.2.1 | Series and convergence tests | |
| 12 | Nov 12 | 7.2.2 | Rearrangement of series |
| Nov 14 | 7.3.1 | Pointwise and uniform convergence of functions | |
| Nov 16 | 7.3.2 | Term-by-term differentiation and integration | |
| 13 | Nov 19 | HOLIDAY | Fall break |
| Nov 21 | HOLIDAY | Fall break | |
| Nov 23 | HOLIDAY | Fall break | |
| 14 | Nov 26 | 7.4.1 | Power series and radius of convergence |
| Nov 28 | 7.4.2 | Analytic continuation of power series | |
| Nov 30 | 7.4.4 | Closure properties of analytic functions | |
| 15 | Dec 3 | 7.6.1 | Equicontinuity of functions |
| Dec 5 | 7.6.2 | The Arzela-Ascoli theorem | |
| Dec 7 | 8.1.1 | Definitions of the exponential function | |
| 16 | Dec 10 | 8.1.2 | Bump functions |
| Dec 12 | 8.2.1 | Trigonometric functions | |
| Dec 14 | REVIEW | Review of Chapters 7-8 | |
| Final exam | Time and date TBA |