Fall 2026

Introduction to Number Theory

MATH 467 introduces proof writing techniques through classical topics in elementary number theory.

offering recorded3 credits
Recorded instructors · Fall 2026 Mikhail Ivanov3.3/5

Summary

1 / 6

The course is rated as moderately difficult. Negative perceptions may stem from students encountering a hard math class for the first time rather than the instructor's teaching.

Grade history

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

Prerequisites

Course map

MATH 234, 320, 340, 345, 375, or (MATH 222 and COMP SCI/​MATH 240)

“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
/5Adjusted rating
/5RMP difficulty
captured reviews
About this rating

Raw average: 3.14/5 from 44 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: 5.0/5 raw quality · 3.0/5 difficulty · 1 reviews

RMP profile ↗ · All captured review dates; profile matched by name.

Mikhail Ivanov is described as an excellent professor who makes material clear and follows the textbook's pacing. Reviewers note his clarity during office hours, though one suggests negative perceptions may stem from students encountering difficult math for the first time.

Recent recorded grades — Fall 2023: 3.17 GPA, 51.5% A/AB (n=33 letter grades).

Historical instructors & teaching patterns

Historical reviews of Botong Wang: Mikhail Ivanov is the current instructor, but reviews for Botong Wang highlight his ability to break down advanced concepts and motivate them with examples, making understanding easier. Wang's lectures are engaging and homework prepares students for straightforward exams, though one review notes he may be too busy with research.

ANANTH SHANKAR is recorded teaching in Fall 2022. Recorded history may be incomplete and does not establish a future schedule.

BOTONG WANG is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

DANIEL ERMAN is recorded teaching in Fall 2021. Recorded history may be incomplete and does not establish a future schedule.

MIKHAIL IVANOV is recorded teaching in Fall 2023. Recorded history may be incomplete and does not establish a future schedule.

MITCH KELLER is recorded teaching in Fall 2024. 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.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction40 / 406
LEC 002Classroom Instruction38 / 403

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

Meeting source records

Student experience

the class

Mikhail Ivanov is an excellent professor who makes the material very clear and follows the textbook's pacing. He provides clear explanations at office hours, making the course accessible despite its difficulty.

Recent recorded grades — Spring 2025: 2.97 GPA, 44.1% A/AB (n=34 letter grades); Fall 2025: 3.34 GPA, 58.8% A/AB (n=68 letter grades); Spring 2026: 2.48 GPA, 35.5% A/AB (n=31 letter grades).

difficulty & workload

The course is rated as moderately difficult. Negative perceptions may stem from students encountering a hard math class for the first time rather than the instructor's teaching.

Students find the professor's explanations and office hour support very helpful. The teaching style aligns well with the textbook, providing a structured learning experience.

Topics

  • Divisibility and prime properties
  • Congruences
  • Fermat's theorem

Skills

  • Proof writing techniques
  • Elementary number theory concepts

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

A
AB
B
BC
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D
F

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
MATH 467 · Fall 2026

Introduction to Number Theory

Recorded 2026-09-07
Raw records
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "offering_id": "1272:600:025252",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1272",
    "source_course_id": "025252",
    "source_subject_id": "600",
    "title": "Introduction to Number Theory",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Not Applicable"
  }
]
Rate My Professors

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": "98b0d22b35becc7249874e8ad54eb478ff9d6f6d2d801ae67717e06cb78e145a",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}