Fall 2026

Analysis II

Covers special functions, series, metric space topology, and differential calculus in normed spaces.

offering recorded3 credits
Recorded instructors · Fall 2026 Xianghong Gong2.2/5

Summary

1 / 6

The course is rated as difficult, with students finding the lecture structure challenging to navigate due to lack of clarity.

Grade history

average GPA
letter grades
A
AB
B
BC
C
D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

MATH 521 and (MATH 320, 340, 341, 345, or 375), graduate/professional standing, or declared in Mathematics VISP (graduate or undergraduate)

MATH 522 used by

“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree

Professors

Fall 2026
/5Adjusted rating
/5RMP difficulty
captured reviews
About this rating

Raw average: 1.76/5 from 63 quality ratings. The adjusted rating blends this with the UW review average (3.66/5), weighted as 20 additional ratings. Smaller samples stay closer to that average. Each captured review is counted once in the prior; this does not correct who chooses to leave a review.

For this course: 1.0/5 raw quality · 4.0/5 difficulty · 1 reviews

RMP profile ↗ · All captured review dates; profile matched by name.

Xianghong Gong receives criticism for disorganized lectures that are difficult to follow. Reviewers note that definitions are unclear and it is hard to distinguish proofs from counter-examples until the lecture ends.

Recent recorded grades — Spring 2015: 3.29 GPA, 41.2% A/AB (n=17 letter grades); Fall 2019: 3.18 GPA, 43.3% A/AB (n=30 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).

Historical instructors & teaching patterns

Historical reviews of Lars Niedorf: Lars Niedorf provides clear notes and encourages discussion, though the textbook is difficult and there are no practice exams. Reviewers note lenient grading but tough assignments, with one student reporting a high final grade despite the challenging problem sets.

ANDREAS SEEGER is recorded teaching in Fall 2010, Fall 2013, Spring 2016, Fall 2020, Fall 2021, Spring 2022, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.

ANDREJ ZLATOS is recorded teaching in Fall 2012, Fall 2015. Recorded history may be incomplete and does not establish a future schedule.

GLORIA MARI-BEFFA is recorded teaching in Spring 2009, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.

HUNG TRAN is recorded teaching in Spring 2017. Recorded history may be incomplete and does not establish a future schedule.

JENNIFER BEICHMAN is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.

JORIS ROOS is recorded teaching in Fall 2017, Spring 2018, Fall 2018, Fall 2019. Recorded history may be incomplete and does not establish a future schedule.

LARS NIEDORF is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

MIKHAIL FELDMAN is recorded teaching in Spring 2007, Fall 2022. Recorded history may be incomplete and does not establish a future schedule.

SARAH TAMMEN is recorded teaching in Spring 2024, Fall 2024. Recorded history may be incomplete and does not establish a future schedule.

SHENGWEN GAN is recorded teaching in Fall 2024, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.

TREVOR LESLIE is recorded teaching in Spring 2020. Recorded history may be incomplete and does not establish a future schedule.

XIANGHONG GONG is recorded teaching in Spring 2010, Spring 2015, Fall 2019, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

Recorded history may be incomplete and does not establish a future schedule.

Calendar & sections

Fall 2026

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction32 / 350
LEC 002Classroom Instruction17 / 350

Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.

Meeting source records

Student experience

the class

Xianghong Gong's lectures are reported as disorganized and difficult to follow, with unclear definitions and ambiguous distinctions between proofs and counter-examples.

Recent recorded grades — Spring 2025: 3.09 GPA, 54.1% A/AB (n=37 letter grades); Fall 2025: 3.78 GPA, 87.9% A/AB (n=58 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).

difficulty & workload

The course is rated as difficult, with students finding the lecture structure challenging to navigate due to lack of clarity.

Students report frustration with the lack of clear definitions and the difficulty in distinguishing between theorem proofs and counter-examples during lectures.

Topics

  • Special functions and series.
  • Contraction principle and compactness.
  • Differential calculus in normed spaces.
  • Applications to differential equations.

Skills

  • Analysis of special functions, power series, and Fourier series.
  • Characterizing compactness in metric spaces.
  • Differential calculus in normed spaces.
  • Applying analysis to differential equations.

Grades

Historical instructor

Fall 2026 · Projected

Before grades are released

average GPA

Approximate 80% prediction interval

About this estimate

The course’s semester-average GPA, not an individual student’s grade. The center uses 5 same-season terms, weighted toward recent results.

The range uses the finite-sample 80th-percentile rank of absolute errors from earlier same-season forecasts. Each forecast uses only records from earlier terms. At least four forecasts are required; bounds are rounded outward and limited to 0–4. This is an empirical estimate: changing instructors or grading policies can reduce its coverage.

5 earlier forecasts · 0.22 GPA average error.

Grades over time

Through Fall 2026

More grade details Grade mix, volume & source data

Not enough comparable courses for Fall 2026 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

Observations at scan time; dates do not imply when a catalog change took effect.

Selected offering source records
MATH 522 · Fall 2026

Analysis II

Recorded 2026-09-07
Raw records
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "offering_id": "1272:600:011683",
    "course_id": "MATH 522",
    "course_uid": "course_0dd25611eebe714d971b7bfb",
    "term_id": "1272",
    "source_course_id": "011683",
    "source_subject_id": "600",
    "title": "Analysis II",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Spring"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews
Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
Model outputs & technical records
nvidia/Qwen3.6-35B-A3B-NVFP4
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
{
  "model": "nvidia/Qwen3.6-35B-A3B-NVFP4",
  "model_revision": "1355db6a052410cfd62085d94b58866fd0f2c3c5",
  "task_version": "14",
  "output_id": "7888c2994431d2266bce78035bd7915b110efb8116da0d2eaa8f08b0ac9fcb72",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}