MATH 7301 — Functional Analysis
4 semester hoursGraduateLecturetypical days: M/ThBostonTraditional
Introduces essential results of functional analysis and some of its applications. The main abstract facts can be understood independently. Omits proof of some important basic theorems about Hilbert and Banach spaces (Hahn-Banach theorem, open mapping theorem) to allow more time for applications of the abstract techniques such as compact operators, Peter-Weyl theorem for compact groups, spectral theory, Gelfand’s theory of commutative C*-algebras, mean ergodic theorem, Fourier transforms and Sobolev embedding theorems, and distributions and elliptic operators.
Prerequisites
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Fall 2023 | 1 | 7 | 20 | 35% | 13.0 |
| Spring 2026 | 1 | 10 | 21 | 48% | 11.0 |
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 59% · T 41% · W 0% · Th 100% · F 0%
Common patterns: MR (59% of sections), TR (41% of sections) — in patterns, R means Thursday
Professors
Fall
- Ahmad Reza Haj Saeedi Sadegh (100% of students) · reviews
Spring
- Matan Harel (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 7301 in their prerequisites.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app