MATH 3175 — Group Theory
4 semester hoursUndergraduateLectureusually offered: fall, springtypical days: M/W/ThBostonTraditional
Presents basic concepts and techniques of the group theory: symmetry groups, axiomatic definition of groups, important classes of groups (abelian groups, cyclic groups, additive and multiplicative groups of residues, and permutation groups), Cayley table, subgroups, group homomorphism, cosets, the Lagrange theorem, normal subgroups, quotient groups, and direct products. Studies structural properties of groups. Possible applications include geometry, number theory, crystallography, physics, and combinatorics.
Prerequisites
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Summer B 2023 | 1 | 7 | 30 | 23% | 23.0 |
| Fall 2023 | 3 | 54 | 57 | 95% | 1.0 |
| Spring 2024 | 3 | 60 | 89 | 67% | 9.7 |
| Summer B 2024 | 1 | 13 | 30 | 43% | 17.0 |
| Fall 2024 | 3 | 53 | 63 | 84% | 3.3 |
| Spring 2025 | 3 | 71 | 82 | 87% | 3.7 |
| Summer B 2025 | 1 | 16 | 30 | 53% | 14.0 |
| Fall 2025 | 3 | 49 | 63 | 78% | 4.7 |
| Spring 2026 | 3 | 50 | 75 | 67% | 8.3 |
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 62% · T 20% · W 71% · Th 67% · F 20%
Common patterns: MWR (56% of sections), TF (11% of sections), F (10% of sections), W (9% of sections), MTWR (6% of sections), R (5% of sections) — in patterns, R means Thursday
Professors
Fall
- Milen Yakimov (76% of students) · reviews
- Anthony Iarrobino (24% of students) · reviews
Spring
- Hendrikus Derksen (58% of students) · reviews
- Muhammad Anadil Saeed Rao (16% of students) · reviews
- Do Kien Hoang (12% of students) · reviews
- Matthew Garcia (11% of students) · reviews
Summer B
- Matthew Garcia (81% of students) · reviews
- Aliska Gibbins (19% of students) · reviews
Percentages are each professor's average share of the season's enrolled students in recent terms.
Unlocks
MATH 4020, MATH 4527, MATH 4575, MATH 4576, MATH 4577
Courses that list MATH 3175 in their prerequisites.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app