Browse all Mathematics courses →
Red: department · Gray: UW–Madison
GPA and percentages are weighted by recorded letter grades. UW comparisons use the same terms. Cross-listed courses count once within this department and once across UW; department totals should not be added together. Grade counts are not unique students. Offering counts reflect captured records, not a complete historical schedule.
Grades have not been recorded for this term. Historical results remain in the overview above.
Historical grades cover up to five years through the selected term. Grade sorting prioritizes courses with at least 100 letter grades.
Covers first and second semester calculus material while teaching math majors to write and understand proofs.
Offering recorded · Fall 2026
Some students report that homework and exams are difficult, requiring memorization of proofs from notes rather than independent thinking. They criticize the lack of introductory proof instruction and contradictory materials.
historical GPA · grades
Spring 2022–Spring 2026MATH 467 introduces proof writing techniques through classical topics in elementary number theory.
Offering recorded · Fall 2026
The course is rated as moderately difficult. Negative perceptions may stem from students encountering a hard math class for the first time rather than the instructor's teaching.
historical GPA · grades
Fall 2022–Spring 2026Analysis I covers real numbers, set theory, metric spaces, topology, and core calculus concepts like limits, continuity, and integration.
Offering recorded · Fall 2026
Historical reviews of Arun Ram, Betsy (Lindsay) Stovall: The course is difficult, with homework described as impossible to finish and lectures moving at a fast pace, requiring significant effort and careful note-taking.
historical GPA · grades
Spring 2022–Spring 2026Covers special functions, series, metric space topology, and differential calculus in normed spaces.
Offering recorded · Fall 2026
The course is rated as difficult, with students finding the lecture structure challenging to navigate due to lack of clarity.
historical GPA · grades
Spring 2022–Spring 2026MATH 535 teaches mathematical methods for data science, including matrix factorizations, optimization, and probabilistic models.
Offering recorded · Fall 2026
Historical reviews of Hanbaek Lyu, Sebastien Roch: Reviewers describe the homework and exams as challenging, with some noting that the course feels like a proof-heavy extension of linear algebra rather than a data science course.
historical GPA · grades
Spring 2022–Spring 2026Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.
Offering recorded · Fall 2026
Historical reviews for Andrei Caldararu describe a lack of support materials, including missing homework solutions, absent practice tests, and unclear project grading rubrics.
historical GPA · grades
Spring 2022–Fall 2025MATH 541 Modern Algebra 1 covers groups, rings, ideals, homomorphisms, and abstract vector spaces.
Offering recorded · Fall 2026
Homework and exam difficulty is described as perfect and very doable, with a good textbook provided.
historical GPA · grades
Spring 2022–Spring 2026Modern Algebra 2 covers field theory, polynomial roots, and linear algebra topics including canonical forms and determinants.
Offering recorded · Fall 2026
Historical reviews of Joshua Mundinger, Paul Apisa, Paul Terwilliger, Uri Andrews: Students report substantial weekly homework loads, sometimes exceeding 20 hours, and exams that cover extensive material, though some instructors offer flexibility or generous grading.
historical GPA · grades
Spring 2022–Spring 2026Covers topological spaces, connectedness, compactness, separation axioms, and metric spaces.
Offering recorded · Fall 2026
Historical reviews of Arun Ram, Mingzhong Cai: Workload varies significantly; Arun Ram assigned tons of homework causing late nights, while Mingzhong Cai’s take-home exams required over ten hours per midterm despite being difficult.
historical GPA · grades
Spring 2022–Spring 2026Rigorous introduction to the theoretical underpinnings and methods of modern PDE theory.
Offering recorded · Fall 2026
Historical reviews of Hung Tran: Reviewers report that the homework load is too high and the problems are super hard, requiring significant time investment.
historical GPA · grades
Spring 2022–Fall 2025MATH 681 is an individual study course for honors math majors to write a thesis in mathematics.
Offering recorded · Fall 2026
Historical reviews highlight Paul Milewski as a helpful and beneficial instructor for research opportunities, though his lecture effectiveness remains unverified by this single source.
No recorded grade history
MATH 682 is an individual study course for honors math majors to write a thesis in mathematics.
Offering recorded · Fall 2026
historical GPA · grades
Spring 2022–Spring 2022 · limited sampleMATH 691 is an individual study course for students writing a thesis in mathematics.
Offering recorded · Fall 2026
No recorded grade history
MATH 698 offers directed study projects arranged individually with a faculty member.
Offering recorded · Fall 2026
No recorded grade history
MATH 699 offers directed study projects arranged with a faculty member.
Offering recorded · Fall 2026
historical GPA · grades
Spring 2022–Spring 2022 · limited sampleMethods of Applied Mathematics 1 covers linear algebraic structures, boundary value problems, complex analysis techniques, and PDE solution methods.
Offering recorded · Fall 2026
Historical reviews of Georghe Craciun: Reviewers rated the difficulty as very low under Craciun, noting that his teaching style simplifies material that might otherwise require blind memorization.
historical GPA · grades
Fall 2022–Fall 2025MATH 717 introduces computational methods using stochastic algorithms for random mathematical problems, covering Monte Carlo, Bayesian inference, and SDEs.
Offering recorded · Fall 2026
historical GPA · grades
Fall 2022–Fall 2025Covers classical and modern functional analysis-based theory of partial differential equations.
Offering recorded · Fall 2026
historical GPA · grades
Fall 2022–Fall 2025 · limited sampleA first course in real analysis covering measures, integration, differentiation, and Hilbert spaces.
Offering recorded · Fall 2026
Historical reviews of Alexandru Ionescu, Betsy (Lindsay) Stovall: Reviews consistently characterize the course as hard with difficult homework and exams. Students report learning significantly from the challenging assignments.
historical GPA · grades
Fall 2022–Fall 2025Abstract Algebra (MATH 741) covers finite groups and noncommutative rings, including Sylow theorems and Wedderburn theorems.
Offering recorded · Fall 2026
The homework is described as unique and interesting, but reviewers note that completing these assignments takes a significant amount of time.
historical GPA · grades
Fall 2022–Fall 2025This course introduces the Riemann zeta function and Dirichlet L-functions, applying them to prime number distribution and quadratic fields.
Offering recorded · Fall 2026
historical GPA · grades
Fall 2023–Fall 2023 · limited sampleMATH 751 introduces algebraic and differential topology, covering homotopy, manifolds, and homology.
Offering recorded · Fall 2026
historical GPA · grades
Fall 2022–Fall 2025MATH 761 covers differentiable manifolds, vector bundles, differential forms, and Riemannian metrics.
Offering recorded · Fall 2026
Homework assignments are difficult and require significant time to solve step-by-step.
historical GPA · grades
Spring 2022–Fall 2025Introduction to algebraic geometry covering algebraic preliminaries, local rings, valuation theory, power series rings, and the geometry of algebraic varieties.
Offering recorded · Fall 2026
historical GPA · grades
Fall 2022–Fall 2024 · limited sampleA graduate course covering first-order logic, model theory theorems, computability, and set theory foundations.
Offering recorded · Fall 2026
The course is rated as easy, though the chaotic organization may require extra effort to navigate the material effectively.
historical GPA · grades
Fall 2022–Fall 2025 · limited sampleMATH 790 is a graduate thesis course where students work on a Master's thesis under faculty supervision.
Offering recorded · Fall 2026
No recorded grade history
MATH 849 covers the classical and modern theory of automorphic forms and the representation theory of GL(2).
Offering recorded · Fall 2026
historical GPA · grades
Fall 2022–Spring 2025 · limited sampleMATH 890 is a pre-dissertator research course involving reading and research in all areas of mathematics.
Offering recorded · Fall 2026
No recorded grade history
MATH 900 is a Graduate Teaching Seminar focusing on theory and practical skills for teaching mathematics at the graduate or post-secondary level.
Offering recorded · Fall 2026
historical GPA · grades
Fall 2022–Fall 2025A graduate-level seminar covering selected topics in mathematical analysis.
Offering recorded · Fall 2026
historical GPA · grades
Spring 2022–Spring 2026No released grades for this term.
Offering snapshots currently cover Fall 2026. Earlier grade records do not provide a complete offering history.