Spring 2027

Directed Study

Directed Study involves projects arranged with a faculty member, focusing on proving or disproving mathematical statements using various argument techniques.

offering recorded1–3 credits
Recorded instructors · Spring 2027 No instructors listed

Summary

What you’ll be able to do

  • Recall and state the formal definitions of the mathematical objects and their properties used in an area of mathematics.

  • Use such definitions to argue that a mathematical object does or does not have the condition of being a particular type or having a particular property.

  • Recall and state the standard theorems of an area of mathematics and recall the arguments for these theorems and the underlying logic of their proofs.

  • Use such theorems in the context of longer arguments by examining their premises.

  • 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, induction, etc.).

  • Convey arguments using English and appropriate mathematical terminology, notation and grammar.

  • Identify applications of course content in areas of modern research.

Source: UW Guide

Grade history

↗
average GPA
letter grades

No recorded grade history.

All recorded terms · compare terms & instructors

Prerequisites

Course map

Consent of instructor

  • Consent of instructor
MATH 698

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

Prerequisite text tree
  • Consent of instructor

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

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist

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

Meeting source records

No records available.

Student experience

the class

Directed study projects as arranged with a faculty member.

difficulty & workload

No workload feedback recorded.

Topics

  • Formal definitions and properties of mathematical objects.
  • Standard theorems and the logic of their proofs.
  • Techniques of mathematical argument including direct/indirect methods and induction.
  • Applications of mathematical content in modern research.

Skills

  • Recalling and stating formal definitions of mathematical objects and their properties.
  • Using definitions to argue about the type or properties of mathematical objects.
  • Recalling standard theorems and the logic of their proofs.
  • Applying theorems within longer mathematical arguments by examining premises.
  • Proving or disproving statements using direct methods, indirect methods, examples, counterexamples, and induction.
  • Conveying mathematical arguments using appropriate terminology, notation, and grammar.
  • Identifying applications of mathematical content in modern research areas.

Grades

Instructor

Grade distribution · % of letter grades

No grades available yet.

More grade details Grade mix, volume & source data

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.

Download part 1
Selected offering source records
MATH 698 · Spring 2027

Directed Study

Recorded 2026-10-14
Raw records 
[
  {
    "run_id": "20261014T203208-0851c9a1",
    "semester": "1274",
    "observed_at": "2026-10-14 17:50:09.728220+00:00",
    "offering_id": "1274:600:011709",
    "course_id": "MATH 698",
    "course_uid": "course_b29e90ca7f22f0d138916bb0",
    "term_id": "1274",
    "source_course_id": "011709",
    "source_subject_id": "600",
    "title": "Directed Study",
    "credits_min": 1,
    "credits_max": 3,
    "typically_offered": "Occasionally"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews

No records available.

Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
Dataset & model

Recorded 2026-10-14

View the dataset on Hugging Face
Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
Download part 1
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Download part 1
Model & dataset provenance 
{
  "model": "Qwen/Qwen3.8-27B",
  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "fd9305a4edf008570139c809a89560a73a8dfc3e64a2afcc2e292bc98988ab7e",
  "requirements_status": "valid",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}