“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.
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.
Section
Mode
Enrolled / capacity
Waitlist
LEC 001
Classroom Instruction
32 / 35
0
LEC 002
Classroom Instruction
17 / 35
0
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.
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
3.053.05–3.933.93average GPA
Approximate 80% prediction interval
0.04.0
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.