Fall 2026

Applied Mathematical Analysis 2: Partial Differential Equations

Covers Sturm-Liouville theory, Fourier series, and methods for solving linear second-order partial differential equations including separation of variables and Green's functions.

no offering record for this termCredits unavailable
Recorded instructors · Fall 2026 No instructors listed

Summary

1 / 5

Historical reviews of Adrian Tudorascu, Saverio Spagnolie: Spagnolie assigns difficult homework and short quizzes worth significant grades, while Tudorascu warns that material builds cumulatively and requires prior knowledge.

Grade history

average GPA
letter grades
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All recorded terms · compare terms & instructors

Prerequisites

Course map

MATH 321, 376, or graduate/professional standing

MATH 322 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

No instructors recorded for this selection.

Historical instructors & teaching patterns

Historical reviews of Saverio Spagnolie: Saverio Spagnolie is highly praised for kinetic lectures that make difficult content digestible and for being extremely helpful in office hours. Reviewers note that while homework can be difficult, exams are fair and grading is generous. He actively adjusts course difficulty based on student performance and provides comprehensive lecture notes.

ADRIAN TUDORASCU is recorded teaching in Spring 2009. Recorded history may be incomplete and does not establish a future schedule.

ANDREJ ZLATOS is recorded teaching in Fall 2010, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.

GERARDO HERNANDEZ-DUENAS is recorded teaching in Spring 2013. Recorded history may be incomplete and does not establish a future schedule.

JEAN-LUC THIFFEAULT is recorded teaching in Fall 2011, Spring 2012, Fall 2013, Spring 2016, Spring 2017, Spring 2018, Fall 2018, Spring 2020. Recorded history may be incomplete and does not establish a future schedule.

LESLIE SMITH is recorded teaching in Fall 2016, Fall 2017, Fall 2022, Spring 2024, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

SAMUEL STECHMANN is recorded teaching in Spring 2019, Fall 2020, Fall 2021, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.

SAVERIO SPAGNOLIE is recorded teaching in Fall 2024, Spring 2025. 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

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Meeting source records

No records available.

Student experience

the class

Historical reviews of Saverio Spagnolie: Saverio Spagnolie is described as an incredible teacher who makes difficult content digestible through kinetic lectures and is extremely helpful in office hours.

Recent recorded grades — Fall 2024: 2.93 GPA, 40.9% A/AB (n=22 letter grades); Spring 2025: 2.88 GPA, 52.0% A/AB (n=25 letter grades); Spring 2026: 2.64 GPA, 30.3% A/AB (n=33 letter grades).

difficulty & workload

Historical reviews of Adrian Tudorascu, Saverio Spagnolie: Spagnolie assigns difficult homework and short quizzes worth significant grades, while Tudorascu warns that material builds cumulatively and requires prior knowledge.

Historical reviews of Leslie Smith, Saverio Spagnolie: Spagnolie offers generous grading and posted notes, while Smith provides well-organized lectures and fair tests without curveballs.

Topics

  • Sturm-Liouville theory
  • Fourier series and mean convergence
  • Initial and boundary value problems for linear second-order PDEs
  • Separation of variables and eigenfunction expansions
  • Fundamental solutions and Green's functions in multiple dimensions

Skills

  • Applying Sturm-Liouville theory
  • Analyzing Fourier series and mean convergence
  • Solving initial and boundary value problems for linear second-order PDEs
  • Using separation of variables and eigenfunction expansions
  • Constructing fundamental solutions and Green's functions in multiple dimensions

Grades

Latest available · Spring 2026— not enough history to project Fall 2026.

average GPA
A / AB grades
letter grades
Instructor

Grade distribution · % of letter grades

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AB
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Grades over time

Through Spring 2026

More grade details Grade mix, volume & source data

Where this course fits relative to

Latest available grades · Spring 2026 · all course levels

GPA

Higher than % of other courses in this group.

Course GPAs · red marks this course’s range

letter grades

More recorded grades than % of other courses in this group.

Typical course in this group: letter grades.

About this comparison

1283 courses over the same term, each with at least 30 recorded letter grades. Cross-listed courses count once. GPA is not a measure of difficulty or teaching quality. The typical course is the median by recorded grade count; tied values are not counted as lower. Grade counts describe course scale, not unique students or typical section size.

Descriptions compare GPA with this group’s average: at least 0.20 higher or lower; otherwise close to average. Section size uses median recorded enrollment: small up to 30, mid-sized 31–99, large 100+. Lectures and discussion/lab sections are described separately.

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

No offering records for the selected term.

Raw records
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Student reviews

Original comments behind the course and instructor summaries.

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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": "de59cd2a283ad20c369392c3965fb8d53cb278b4e647b81a83fe348e4fce71d1",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}