Fall 2026

Linear Algebra II

Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.

offering recorded3 credits
Recorded instructors · Fall 2026 Shamgar Gurevitch

Summary

1 / 6

Historical reviews for Andrei Caldararu describe a lack of support materials, including missing homework solutions, absent practice tests, and unclear project grading rubrics.

Grade history

average GPA
letter grades
A
AB
B
BC
C
D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

(MATH 234 or 375), (MATH 320, 340, 341, 345, or 375), and (MATH 341, 375, 421, 467, or 521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)

MATH 540

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

Prerequisite text tree

Professors

Fall 2026
Historical instructors & teaching patterns

Shamgar Gurevitch introduces linear algebra through category theory and ring theory, which one reviewer found useful for understanding mathematical structure, though others criticize his course organization, failure to cover the syllabus, and combative classroom behavior. One reviewer claims he awards high grades regardless of effort. Historical reviews for Andrei Caldararu note a lack of homework solutions, practice tests, and clear grading guidelines.

SHAMGAR GUREVICH is recorded teaching in Spring 2019, Spring 2020, Fall 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

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction38 / 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

Historical reviews of Shamgar Gurevich: Shamgar Gurevich receives polarized reviews, with some students finding the course unlearnable and poorly organized while others appreciate its abstract mathematical structure.

Recent recorded grades — Spring 2024: 3.39 GPA, 69.6% A/AB (n=23 letter grades); Fall 2024: 3.44 GPA, 70.6% A/AB (n=17 letter grades); Fall 2025: 4.00 GPA, 100.0% A/AB (n=33 letter grades).

difficulty & workload

Historical reviews for Andrei Caldararu describe a lack of support materials, including missing homework solutions, absent practice tests, and unclear project grading rubrics.

Historical reviews of Shamgar Gurevich: One reviewer finds Gurevich's category theory approach useful for understanding math structures but irrelevant for engineering applications.

Topics

  • Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form.
  • Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem.
  • Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra.

Skills

  • Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form.
  • Inner product space theory, orthogonalization, and spectral theorem for operators.
  • Singular value decomposition, bilinear/quadratic forms, and matrix norms.

Grades

Latest available · Fall 2025— not enough history to project Fall 2026.

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 2025

More grade details Grade mix, volume & source data

Where this course fits relative to

Latest available grades · Fall 2025 · 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

1320 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 540 · Fall 2026

Linear Algebra II

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": "1272:600:025070",
    "course_id": "MATH 540",
    "course_uid": "course_edc3174bf073c9d7af51f678",
    "term_id": "1272",
    "source_course_id": "025070",
    "source_subject_id": "600",
    "title": "Linear Algebra II",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Fall"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews
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": "36f2f5faa8bf7a7a34e806d4921c19ad9f2fefdaf13fb6a3b9f6f3b3cce52408",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}