Spring 2027

College Geometry I

College Geometry I introduces Euclidean or non-Euclidean geometry, focusing on axiomatic and coordinate geometry, triangles, and circles.

offering recorded3 credits
Recorded instructors · Spring 2027 Mikhail Ivanov3.3/5

Summary

1 / 6

Past student reviews · Mikhail Ivanov

Homework assignments were significantly harder than the lecture examples, and students found the midterm exam to be particularly challenging.

What you’ll be able to do

  • Recall and state the formal definitions of mathematical objects and their properties used in axiomatic and coordinate geometry with a special emphasis on triangles and circles (e.g., pedal triangles, Simson line, perpendicular bisector, etc.).

  • Use the above definitions to argue if a mathematical construct does or does not have the condition of having a particular property (e.g., that two triangles are congruent, three points are collinear, etc.).

  • Recall and state standard theorems used in axiomatic geometry including their proofs (e.g., opposite angles are congruent, Ceva's Theorem, nine-point circle theorem, etc.).

  • Verify the premises of standard theorems in in order to apply their conclusions in the context of longer arguments (e.g., arguing congruence by verifying angle sums, etc.).

  • Prove or disprove statements related to the definitions, properties, and theorems of axiomatic geometry using the techniques of mathematical argument. In particular, the student will employ construction and computational techniques as necessary.

  • Convey formal mathematical arguments in written and/or verbal English using appropriate mathematical terminology and notation.

Source: UW Guide

Grade history

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

Prerequisites

Course map

MATH 234 or (MATH 222 and COMP SCI/​MATH 240) or MATH 375 or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

MATH 461 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

Spring 2027
Adjusted rating
RMP 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: 2.7/5 raw quality · 3.0/5 difficulty · 3 reviews

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

Past student reviews · Mikhail Ivanov

Students reported that Mikhail Ivanov's homework was significantly harder than lecture examples and that exams were tough, though he curved grades. While one reviewer found the course the easiest they had taken, another described the teaching as rough due to it being his first year, noting that he was good at answering specific questions despite being hard to follow at times.

Recent recorded grades — Spring 2022: 3.14 GPA, 46.4% A/AB (n=28 letter grades).

Historical instructors & teaching patterns

Past student reviews · Bing Wang

Bing Wang taught the course with clear notes and exams that largely reflected homework and class materials. Students noted his accent was easy to understand, though he spent most of the time writing on the board with little room for participation. He answered questions but was described as an average professor who received more criticism than deserved.

AARON GOLDSMITH is recorded teaching in Spring 2018. Recorded history may be incomplete and does not establish a future schedule.

ADRIAN TUDORASCU is recorded teaching in Fall 2009, Spring 2010. Recorded history may be incomplete and does not establish a future schedule.

BING WANG is recorded teaching in Fall 2016, Spring 2017, Fall 2017. Recorded history may be incomplete and does not establish a future schedule.

JULIE MITCHELL is recorded teaching in Fall 2006. Recorded history may be incomplete and does not establish a future schedule.

MIKHAIL IVANOV is recorded teaching in Spring 2022. Recorded history may be incomplete and does not establish a future schedule.

ROBERT WILSON is recorded teaching in Fall 2008. Recorded history may be incomplete and does not establish a future schedule.

SEAN ROSTAMI is recorded teaching in Fall 2012. Recorded history may be incomplete and does not establish a future schedule.

SHIRIN MALEKPOUR is recorded teaching in Spring 2007, Spring 2009. 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

Spring 2027

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 400

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

Past student reviews · Mikhail Ivanov

Mikhail Ivanov taught this course during his first year, which students described as rough. He was noted for being responsive to specific questions and providing helpful grade curves.

Recent recorded grades — Spring 2024: 2.95 GPA, 37.5% A/AB (n=32 letter grades); Spring 2025: 3.38 GPA, 56.7% A/AB (n=30 letter grades); Spring 2026: 3.56 GPA, 83.3% A/AB (n=18 letter grades).

difficulty & workload

Past student reviews · Mikhail Ivanov

Homework assignments were significantly harder than the lecture examples, and students found the midterm exam to be particularly challenging.

Past student reviews · Mikhail Ivanov

While the professor was a tough grader on exams, students appreciated that he curved the class grade, which they found really helpful.

Topics

  • Euclidean and non-Euclidean geometry
  • Axiomatic and coordinate geometry, triangles, and circles
  • Standard theorems such as Ceva's Theorem and the nine-point circle theorem

Skills

  • State formal definitions of mathematical objects in axiomatic and coordinate geometry.
  • Recall and state standard theorems and their proofs in axiomatic geometry.
  • Prove or disprove geometric statements using mathematical argument, construction, and computation.
  • Convey formal mathematical arguments in written or verbal English.

Grades

Latest available · Spring 2026— 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 Spring 2026

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

Observations at scan time; dates do not imply when a catalog change took effect.

Selected offering source records
MATH 461 · Spring 2027

College Geometry I

Recorded 2026-10-14
Raw records
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    "offering_id": "1274:600:011671",
    "course_id": "MATH 461",
    "course_uid": "course_3b14f667f980624c1f5bde67",
    "term_id": "1274",
    "source_course_id": "011671",
    "source_subject_id": "600",
    "title": "College Geometry I",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Fall, Spring"
  }
]
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Student reviews

Original comments behind the course and instructor summaries.

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Grade history

Recorded grade distributions by term, section, and instructor.

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Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
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