Analysis II covers advanced real analysis topics such as special functions, power series, Fourier series, compactness, normed-space calculus, and the implicit and inverse function theorems.
Past student reviews · Betsy (Lindsay) Stovall
One student reported that tests were extremely tough but fair, and homework was similarly challenging, recommending that students study the proofs and homework closely to succeed.
Recall and state the formal definitions of the mathematical objects and their properties used in advanced real analysis (e.g., uniform and pointwise convergences, Fourier series, compactness, metric spaces, etc.).
Use the above definitions to prove if a mathematical construct does or does not have the condition of being a particular mathematical object or having a particular property (e.g. that a sequence of functions converges uniformly or not, whether a set in a metric space is compact or not, etc.).
Recall and state the standard theorems of advanced real analysis. (e.g., Arzela-Ascoli theorem, Stone-Weierstrass theorem, the Contraction Principle etc.), and recall the arguments for these theorems and the underlying logic of their proofs.
Use the above theorems in the context of longer arguments by examining their premises (e.g., using the Arzela-Ascoli theorem to check if a set of continuous functions is relatively compact or not).
Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, etc.).
Convey arguments in oral and written forms using English and appropriate mathematical terminology, notation and grammar.
Identify applications of course content in current areas of research.
Source: UW Guide
All recorded terms · compare terms & instructors
MATH 521 and (MATH 320, 340, 341, 345, or 375), graduate/professional standing, or declared in Mathematics VISP (graduate or undergraduate)
“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.
Raw average: 4.50/5 from 4 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.
RMP profile ↗ · All captured review dates; profile matched by name.
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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.
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.
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| Section | Mode | Enrolled / capacity | Waitlist |
|---|---|---|---|
| LEC 001 | Classroom Instruction | 0 / 40 | 0 |
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.
Past student reviews · Hung Tran, Joris Roos
Students found this advanced analysis course tough but rewarding, noting that clear lecture notes and straightforward exams based on important theorems helped them learn significantly.
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).
Past student reviews · Betsy (Lindsay) Stovall
One student reported that tests were extremely tough but fair, and homework was similarly challenging, recommending that students study the proofs and homework closely to succeed.
Past student reviews · Trevor Leslie
A past student found the instructor supportive because he provided study guides before every exam and specified exactly which topics would appear on the tests.
Latest available · Spring 2026— not enough history to project Spring 2027.
Through Spring 2026
Not enough comparable courses for Spring 2027 in UW–Madison.
Descriptions, prerequisites, and recorded course offerings.
Observations at scan time; dates do not imply when a catalog change took effect.
Analysis II
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]Original comments behind the course and instructor summaries.
Recorded grade distributions by term, section, and instructor.
Explore recorded gradesRecorded 2026-10-14
Recorded model configuration, reasoning, and tool conversations.
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