Spring 2027

Enumerative Combinatorics/symmetric Functions

The course covers enumerative combinatorics and symmetric functions, including counting principles, posets, generating functions, tableau and partition structures, polytopes, and related algebraic-topological topics.

no offering record for this termCredits unavailable
Recorded instructors · Spring 2027 No instructors listed

Summary

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Recent recorded grades — Spring 2017: 3.69 GPA, 81.2% A/AB (n=16 letter grades); Fall 2020: 3.80 GPA, 95.5% A/AB (n=22 letter grades).

Grade history

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average GPA
letter grades
A
AB
B
BC
C
D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

    • Graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program
    take one
MATH 740

This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree
  • Any of
    • Graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program

Professors

Spring 2027

No instructors recorded for this selection.

Historical instructors & teaching patterns

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

Calendar & sections

Spring 2027

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SectionModeEnrolled / capacityWaitlist

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Meeting source records

No records available.

Student experience

the class

Recent recorded grades — Spring 2017: 3.69 GPA, 81.2% A/AB (n=16 letter grades); Fall 2020: 3.80 GPA, 95.5% A/AB (n=22 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Inclusion-exclusion principle and sieve methods.
  • Permutation statistics and unimodal sequences.
  • Posets, lattice theory, and Mobius functions.
  • Generating functions.
  • Bases and transition matrices for symmetric functions.
  • Young tableaux and plane partitions.
  • Polytopes.
  • Poset homology and Stanley-Reisner rings.

Skills

  • Apply the inclusion-exclusion principle and sieve methods.
  • Analyze permutation statistics and unimodal sequences.
  • Work with posets, lattice theory, and Mobius functions.
  • Use generating functions.
  • Work with bases and transition matrices for symmetric functions.
  • Study Young tableaux and plane partitions.
  • Study polytopes.
  • Study poset homology and Stanley-Reisner rings.

Grades

Latest available · Fall 2020— not enough history to project Spring 2027.

average GPA
A / AB grades
letter grades
Instructor

Grade distribution · % of letter grades

A
AB
B
BC
C
D
F

Grades over time

Through Fall 2020

More grade details Grade mix, volume & source data

Not enough comparable courses for Spring 2027 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

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Selected offering source records

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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.

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Dataset & model

Recorded 2026-10-14

View the dataset on Hugging Face
Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
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Full model traces

Recorded model configuration, reasoning, and tool conversations.

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Model & dataset provenance 
{
  "model": "Qwen/Qwen3.8-27B",
  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "2a222701a7651ca50233b82850278982cbc6500cedc4a9bbe12cfa6294bb8806",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}