| Wk | Date | Topics and activities | Readings |
| 1 | 1/25 | Introductions | |
| 1/27 | $\LaTeX$: first contact | Template for HW1 |
| 2 | 1/30 | What are numbers? | |
| 2/01 | A construction of relative integers | |
| 2/03 | Rational numbers | |
| 3 | 2/06 | Numbers and geometry | |
| 2/08 | Numbers and magnitudes in the time of Pythagoras | A Light Dance on the Dust of the Ages |
| 2/10 | Ratios and commensurability | |
| 4 | 2/13 | Numbers, magnitudes and proportions: wrap-up | |
| 2/15 | Achilles, the Tortoise and Riemann rearragements | On Zeno's Paradoxes, by W. C. Salmon |
| 2/17 | Zeno's paradoxes | Parmenides, by B. Russell |
| 5 | 2/20 | On Riemann's function $\zeta$ | |
| 2/22 | Introduction to Logic | |
| 2/24 | Aristotelian logic: categorical propositions | |
| 6 | 2/27 | Aristotelian logic: syllogisms | |
| 3/01 | Truth tables | WRC class visit |
| 3/03 | Contrapositives and Modus ponens | |
| 7 | 3/06 | Overview of final assignments | WISE clase visit |
| 3/08 | Swem Library visit: research instruction session | |
| 3/10 | OH - Discussions on final projects | |
| 3/11-19 | No Class | Spring Break |
| 8 | 3/20 | Cardinality, infinite sets | |
| 3/22 | Swem Library visit: special collections | |
| 9 | 3/27 | Brussels sprouts and the Euler characteristic | |
| 3/29 | No Class | Individual meetings |
| 3/31 | Bibliography with $\LaTeX$ | |
| 10 | 4/03 | Identity, equity and ideology in Mathematics, I | |
| 4/05 | IEIM, II | Guest lecture by A. Moore (V. Tech.) |
| 4/07 | IEIM, III - Bibliographies | |
| 11 | 4/10 | Final papers workshop | |
| 4/12 | Final papers workshop | |
| 4/14 | IEIM, IV - Discussion of journal entries | |
| 12 | 4/17 | IEIM, V - Class discussion | |
| 4/21 | IEIM, VI - Group work | |
| 13 | 4/24 | IEIM, VII | |
| 4/26 | IEIM, VIII | Guest lecture by A. Moore (V. Tech.) |
| 4/28 | IEIM, IX | Guest lecture by A. Moore (V. Tech.) |
| 14 | 5/01 | IEIM, X - Wrap up | |
| 5/03 | Introduction to knots and links | |
| 5/05 | Experiments with the Jones invariant | |
| ★ | 5/10 | Final papers due by 5pm | |