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.
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.
“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.
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).
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
2.992.99–4.004.00average GPA
Approximate 80% prediction interval
0.04.0
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
3.373.37GPA
Higher than 2020% of other courses
in this group.
Course GPAs · red marks this course’s range
4747letter grades
More recorded grades than 2929% of other courses in this group.
Typical course in this group: 70.070.0 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.