MATH 5101 — Analysis 1: Functions of One Variable
4 semester hoursGraduateLectureusually offered: falltypical days: M/WBostonTraditional
Offers a rigorous, proof-based introduction to mathematical analysis and its applications. Topics include metric spaces, convergence, compactness, and connectedness; continuous and uniformly continuous functions; derivatives, the mean value theorem, and Taylor series; Riemann integration and the fundamental theorem of calculus; interchanging limit operations; sequences of functions and uniform convergence; Arzelà-Ascoli and Stone-Weierstrass theorems; inverse and implicit function theorems; successive approximations and existence/uniqueness for ordinary differential equations; linear operators on finite-dimensional vector spaces and applications to systems of ordinary differential equations. Provides a series of computer projects that further develop the connections between theory and applications. Requires permission of instructor and head advisor for undergraduate students.
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Fall 2023 | 1 | 21 | 25 | 84% | 4.0 |
| Fall 2024 | 1 | 17 | 25 | 68% | 8.0 |
| Fall 2025 | 1 | 19 | 21 | 90% | 2.0 |
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 100% · T 0% · W 67% · Th 0% · F 33%
Common patterns: MW (67% of sections), MF (33% of sections) — in patterns, R means Thursday
Professors
Fall
- Xuwen Zhu (70% of students) · reviews
- Petar Topalov (30% of students) · reviews
Percentages are each professor's average share of the season's enrolled students in recent terms.
Unlocks
Courses that list MATH 5101 in their prerequisites.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app