MATH 3527 — Number Theory 1
4 semester hoursUndergraduateLectureusually offered: spring, summertypical days: M/W/ThBostonTraditional
Introduces number theory. Topics include linear diophantine equations, congruences, design of magic squares, Fermat’s little theorem, Euler’s formula, Euler’s phi function, computing powers and roots in modular arithmetic, the RSA encryption system, primitive roots and indices, and the law of quadratic reciprocity. As time permits, may cover diophantine approximation and Pell’s equation, elliptic curves, points on elliptic curves, and Fermat’s last theorem.
Prerequisites
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Summer B 2023 | 1 | 17 | 35 | 49% | 18.0 |
| Spring 2024 | 2 | 107 | 114 | 94% | 3.5 |
| Summer A 2024 | 1 | 29 | 35 | 83% | 6.0 |
| Summer B 2024 | 1 | 8 | 35 | 23% | 27.0 |
| Spring 2025 | 2 | 86 | 97 | 89% | 5.5 |
| Summer A 2025 | 1 | 28 | 35 | 80% | 7.0 |
| Summer B 2025 | 1 | 20 | 35 | 57% | 15.0 |
| Spring 2026 | 2 | 104 | 116 | 90% | 6.0 |
Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.
Meeting times
Share of recent sections by weekday: M 86% · T 21% · W 95% · Th 81% · F 0%
Common patterns: MWR (61% of sections), MTWR (21% of sections), W (14% of sections), M (5% of sections) — in patterns, R means Thursday
Professors
Spring
- Evan Dummit (71% of students) · reviews
- Matthew Garcia (29% of students) · reviews
Summer A
- Robert Lupi (100% of students) · reviews
Summer B
- Matthew Garcia (100% of students) · reviews
Percentages are each professor's average share of the season's enrolled students in recent terms.
Unlocks
Courses that list MATH 3527 in their prerequisites.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app