MATH 541 covers groups, rings, ideals, homomorphisms, and vector spaces.
Past student reviews · Mikhail Ivanov
Exams and assignments were very doable.
Recall and state the formal definitions of the mathematical objects and their properties used in modern abstract algebra (e.g., groups and their actions, rings, fields, homomorphisms, standard examples of these, etc.).
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 (e.g., whether a group is abelian, whether a homomorphism is an isomorphism, etc.).
Recall and state the standard theorems of abstract algebra. (e.g., the isomorphism theorems, the Sylow theorems, Lagrange’s theorem, etc.), 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 (e.g., to classify groups of a given order, prove that alternating groups are simple, etc.).
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
All recorded terms · compare terms & instructors
(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)
“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.
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 · 2 reviews
RMP profile ↗ · All captured review dates; profile matched by name.
Past student reviews · Mikhail Ivanov
Mikhail Ivanov taught clear, enjoyable lectures with lots of examples and a good textbook, while students found homework and exams doable. One reviewer noted the class was organized with outside resources, though the professor was not very helpful on Piazza.
Recent recorded grades — Fall 2025: 3.07 GPA, 49.1% A/AB (n=57 letter grades).
Past student reviews · Steffen Lempp, Shiva Chidambaram
Steffen Lempp covered extensive material, assigning homework during test weeks without review sessions, while his exams were easier than the homework. Shiva Chidambaram’s lectures were described as scattered and difficult to follow, though the textbook was helpful. Chidambaram also noted that homework was graded harshly.
ALEXANDRA KJUCHUKOVA is recorded teaching in Spring 2016, Fall 2016, Fall 2017. Recorded history may be incomplete and does not establish a future schedule.
FEDOR NAZAROV is recorded teaching in Spring 2010. Recorded history may be incomplete and does not establish a future schedule.
MIKHAIL IVANOV is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.
ROBERT HARRON is recorded teaching in Fall 2012. Recorded history may be incomplete and does not establish a future schedule.
SEAN ROSTAMI is recorded teaching in Fall 2012, Spring 2013, Fall 2015. Recorded history may be incomplete and does not establish a future schedule.
SERGUEI DENISSOV is recorded teaching in Fall 2006. Recorded history may be incomplete and does not establish a future schedule.
SHIVA CHIDAMBARAM is recorded teaching in Spring 2026. Recorded history may be incomplete and does not establish a future schedule.
STEFFEN LEMPP is recorded teaching in Spring 2020, Fall 2022. Recorded history may be incomplete and does not establish a future schedule.
ZEV KLAGSBRUN is recorded teaching in Fall 2011. Recorded history may be incomplete and does not establish a future schedule.
ZIQUAN YANG is recorded teaching in Spring 2023, Spring 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.
Schedule loads here as you scroll.
| Section | Mode | Enrolled / capacity | Waitlist |
|---|---|---|---|
| LEC 001 | Classroom Instruction | 0 / 40 | 0 |
| LEC 002 | Classroom Instruction | 0 / 40 | 0 |
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.
Past student reviews · Mikhail Ivanov
Students described Mikhail Ivanov’s lectures as clear, organized, and enjoyable, with a good textbook and strong class participation.
Recent recorded grades — Spring 2025: 3.03 GPA, 49.3% A/AB (n=75 letter grades); Fall 2025: 3.37 GPA, 66.3% A/AB (n=86 letter grades); Spring 2026: 3.06 GPA, 53.7% A/AB (n=95 letter grades).
Past student reviews · Mikhail Ivanov
Exams and assignments were very doable.
Past student reviews · Mikhail Ivanov
The class offered many resources outside of lectures, though the instructor was not very helpful on Piazza.
Approximate 80% prediction interval
The course’s semester-average GPA, not an individual student’s grade. The center uses 5 same-season terms, weighted toward recent results.
The range uses the finite-sample 80th-percentile rank of absolute errors from earlier same-season forecasts. Each forecast uses only records from earlier terms. At least four forecasts are required; bounds are rounded outward and limited to 0–4. This is an empirical estimate: changing instructors or grading policies can reduce its coverage.
8 earlier forecasts · 0.25 GPA average error.
Through Spring 2027
Latest available grades · Spring 2026 · all course levels
Higher than
Course GPAs · red marks this course’s range
More recorded grades than
Typical course in this group:
1280 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.
Descriptions, prerequisites, and recorded course offerings.
Observations at scan time; dates do not imply when a catalog change took effect.
Modern Algebra 1
Recorded 2026-10-14[
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"course_id": "MATH 541",
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"term_id": "1274",
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]Original comments behind the course and instructor summaries.
Recorded grade distributions by term, section, and instructor.
Explore recorded gradesRecorded 2026-10-14
Recorded model configuration, reasoning, and tool conversations.
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