Fall 2026

Topics in Multi-variable Calculus and Linear Algebra

MATH 375 covers advanced topics in multi-variable calculus and linear algebra, including vector spaces, differential calculus, and integration techniques.

offering recorded5 credits
Recorded instructors · Fall 2026 Saverio Spagnolie4.1/5Hanzhang Mao

Summary

1 / 7

The course is considered hard, with long weekly homework assignments that take significant time. Exams are viewed as fair and related to the homework content.

Grade history

average GPA
letter grades
A
AB
B
BC
C
D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

Consent of Instructor

“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree
  • Consent of Instructor

Professors

Fall 2026
/5Adjusted rating
/5RMP difficulty
captured reviews
About this rating

Raw average: 4.30/5 from 54 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: 4.8/5 raw quality · 4.0/5 difficulty · 6 reviews

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

Saverio Spagnolie is consistently praised for his enthusiasm, clear explanations, and care for student understanding. Reviewers highlight his excellent lectures and fair grading, noting that he makes a difficult course more manageable. Students also value his accessibility through office hours and Piazza.

Recent recorded grades — Fall 2013: 3.07 GPA, 50.0% A/AB (n=42 letter grades); Fall 2025: 3.37 GPA, 57.4% A/AB (n=47 letter grades).

Historical instructors & teaching patterns

ALEXANDER NAGEL is recorded teaching in Fall 2007, Fall 2012. Recorded history may be incomplete and does not establish a future schedule.

AUTUMN KENT is recorded teaching in Fall 2020, Fall 2023. Recorded history may be incomplete and does not establish a future schedule.

CAGLAR UYANIK is recorded teaching in Fall 2021, Fall 2022, Fall 2024. Recorded history may be incomplete and does not establish a future schedule.

GHEORGHE CRACIUN is recorded teaching in Fall 2011. Recorded history may be incomplete and does not establish a future schedule.

GLORIA MARI-BEFFA is recorded teaching in Fall 2006, Fall 2011. Recorded history may be incomplete and does not establish a future schedule.

HUNG TRAN is recorded teaching in Fall 2018. Recorded history may be incomplete and does not establish a future schedule.

LAURENTIU MAXIM is recorded teaching in Fall 2014, Fall 2016. Recorded history may be incomplete and does not establish a future schedule.

SAVERIO SPAGNOLIE is recorded teaching in Fall 2013, Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

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

SERGUEI DENISSOV is recorded teaching in Fall 2019. Recorded history may be incomplete and does not establish a future schedule.

SIGURD ANGENENT is recorded teaching in Fall 2017. Recorded history may be incomplete and does not establish a future schedule.

TULLIA DYMARZ is recorded teaching in Fall 2015. 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 Instruction34 / 600
DIS 301Classroom Instruction18 / 180
DIS 302Classroom Instruction16 / 180

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

Saverio Spagnolie is described as enthusiastic and passionate, with clear explanations that help students understand difficult material. Reviewers note his fairness in grading and recommend attending office hours for support.

Recent recorded grades — Fall 2023: 3.89 GPA, 92.0% A/AB (n=50 letter grades); Fall 2024: 3.43 GPA, 64.0% A/AB (n=50 letter grades); Fall 2025: 3.37 GPA, 57.4% A/AB (n=47 letter grades).

difficulty & workload

The course is considered hard, with long weekly homework assignments that take significant time. Exams are viewed as fair and related to the homework content.

Reviewers appreciate Spagnolie's excellent lectures and accessibility on Piazza. His clear explanations and care for student understanding are highlighted as key strengths.

Topics

  • Vector spaces and linear transformations
  • Differential calculus of scalar and vector fields
  • Determinants, eigenvalues, and eigenvectors
  • Multiple, line, and surface integrals

Skills

  • Understanding vector spaces and linear transformations
  • Performing differential calculus on scalar and vector fields
  • Computing determinants, eigenvalues, and eigenvectors
  • Evaluating multiple, line, and surface integrals

Grades

Historical instructor

Fall 2026 · Projected

Before grades are released

average GPA

Approximate 80% prediction interval

About this estimate

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 · 0.17 GPA average error.

Grades over time

Through Fall 2026

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 375 · Fall 2026

Topics in Multi-Variable Calculus and Linear Algebra

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": "1272:600:011636",
    "course_id": "MATH 375",
    "course_uid": "course_5d98ff5f6adce2207e394dc6",
    "term_id": "1272",
    "source_course_id": "011636",
    "source_subject_id": "600",
    "title": "Topics in Multi-Variable Calculus and Linear Algebra",
    "credits_min": 5,
    "credits_max": 5,
    "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": "9b4894e8e91caa447059b1b226525f1e156a5475b3f4133a49735b5e5cb10d54",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}