MATH 5102 — Analysis 2: Functions of Several Variables
4 semester hoursGraduateLectureusually offered: falltypical days: W/FBostonTraditional
Continues MATH 5101. Studies basics of analysis in several variables. Topics include derivative and partial derivatives; the contraction principle; the inverse function and implicit function theorems; derivatives of higher order; Taylor formula in several variables; differentiation of integrals depending on parameters; integration of functions of several variables; change of variables in integrals; differential forms and their integration over simplexes and chains; external multiplication of forms; differential of forms; Stokes’ formula; set functions; Lebesgue measure; measure spaces; measurable functions; integration; comparison with the Riemann integral; L2 as a Hilbert space; and Parseval theorem and Riesz-Fischer theorem. Requires permission of instructor and head advisor for undergraduate students.
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Fall 2023 | 1 | 11 | 25 | 44% | 14.0 |
| Fall 2024 | 1 | 7 | 25 | 28% | 18.0 |
| Fall 2025 | 1 | 5 | 19 | 26% | 14.0 |
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 48% · T 30% · W 70% · Th 0% · F 52%
Common patterns: MW (48% of sections), TF (30% of sections), WF (22% of sections) — in patterns, R means Thursday
Professors
Fall
- Petar Topalov (48% of students) · reviews
- Zhiyuan Zhang (30% of students) · reviews
- Jie Xu (22% of students) · reviews
Percentages are each professor's average share of the season's enrolled students in recent terms.
Unlocks
MATH 7204, MATH 7301, MATH 7338, MATH 7352
Courses that list MATH 5102 in their prerequisites.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app