4,369 courses
Precalculus course covering properties, graphs, and transformations of elementary functions, including trigonometry, to prepare students for calculus.
Offering recorded · Spring 2027 · Sources
Past student reviews · Fernando Al Assal
The course included weekly quizzes that students found easy if they studied, and exams were reported to be almost identical to the practice exams provided.
historical GPA · grades
Fall 2022–Spring 2026Quantitative Reasoning and Problem Solving develops competency in working with numerical data, solving quantitative problems in authentic contexts, and making logical arguments supported by quantitative evidence.
Offering recorded · Spring 2027 · Sources
Past student reviews · Travis Olson
The class featured numerous tests, but they were easy and the instructor dropped a significant number of them.
historical GPA · grades
Fall 2022–Spring 2026Survey of Calculus 1 covers differential and integral calculus, exponential/logarithmic functions, and functions of several variables for prebusiness and social science students.
Offering recorded · Spring 2027 · Sources
Past student reviews · Chanwoo Kim
The course was described as especially hard for students without prior calculus experience, as the instructor taught as if the material was already known.
historical GPA · grades
Fall 2022–Spring 2026Survey of Calculus 2 covers first-order differential equations, multivariable calculus, constrained optimization, infinite sequences and series, approximation methods, and probability, with models from business and social sciences.
Offering recorded · Spring 2027 · Sources
Past student reviews · Prerna Gera
Quizzes and exams were described as brutal and distinct from lectures, while homework remained simple.
historical GPA · grades
Fall 2022–Spring 2026Calculus and Analytic Geometry 1 introduces differential and integral calculus, plane analytic geometry, applications, and transcendental functions.
Offering recorded · Spring 2027 · Sources
Past student reviews · Rajula Srivastava
One student with a pre-calculus background had to reteach themselves majority of concepts after lectures. Another found that discussions were the most helpful resource for learning material and studying for quizzes and tests.
historical GPA · grades
Fall 2022–Spring 2026Calculus and Analytic Geometry 2 covers integration techniques, improper integrals, first-order ODEs, sequences, series, Taylor series, and vector geometry.
Offering recorded · Spring 2027 · Sources
Past student reviews · Travis Olson
The course was described as heavily exam-focused, requiring students to complete numerous practice tests, with some noting that self-study and extensive problem practice were essential for success.
historical GPA · grades
Fall 2022–Spring 2026Calculus of functions of several variables covering parameterized curves, derivatives, multiple integrals, and vector calculus.
Offering recorded · Spring 2027 · Sources
Past student reviews · Alexander Hanhart
A student taking Alexander Hanhart’s class found the homework took a lot of time to complete, though they felt the exams were not notably more difficult than previous semesters.
historical GPA · grades
Fall 2022–Spring 2026Techniques in Ordinary Differential Equations covering linear DEs, series solutions, boundary value problems, Laplace transforms, and possibly numerical methods and autonomous systems.
Offering recorded · Spring 2027 · Sources
Past student reviews · Jessica Lin, Minh Binh Tran
Lectures sometimes moved quickly, making it easy to get lost. Exams had a heavy time crunch, though students noted that questions were often taken directly from homework or recommended problems.
historical GPA · grades
Fall 2022–Spring 2026Introduction to linear algebra and differential equations, emphasizing the connection between linear algebra theory and analytical/numerical techniques for solving differential equations.
Offering recorded · Spring 2027 · Sources
Past student reviews · Scott Hiatt
The course involves very little homework, with three exams comprising almost the entire grade. One student noted a sharp difficulty curve early in the semester and strict grade cutoffs.
historical GPA · grades
Fall 2022–Spring 2026Covers vector analysis (rotations, Euler angles, Green/Gauss/Stokes) and complex analysis (conformal mapping, residues).
Offering recorded · Spring 2027 · Sources
Past student reviews · Ronald Dickey
Homework was assigned with only a one-day turnaround, which one student found difficult to balance alongside other classes.
historical GPA · grades
Fall 2022–Spring 2026Covers Sturm-Liouville theory, Fourier series, and linear second-order PDEs including separation of variables, eigenfunction expansions, and Green's functions.
Offering recorded · Spring 2027 · Sources
Past student reviews · Jean Luc Thiffeault
Homework was not bad, and tests gave a lot of partial credit while being drawn directly from the homework problems.
historical GPA · grades
Fall 2022–Spring 2026Introductory Probability covers axioms, random variables, distributions, expectation, variance, conditional probability, inequalities, laws of large numbers, and the central limit theorem.
Offering recorded · Spring 2027 · Sources
Past student reviews · Hyukpyo Hong
Exams followed a split structure where the first half mirrored practice problems exactly, while the second half was significantly more challenging.
historical GPA · grades
Spring 2024–Spring 2026MATH 340 introduces linear algebra: matrices, vector spaces, transformations, eigenvalues, and orthogonality.
Offering recorded · Spring 2027 · Sources
Past student reviews · Autumn Kent, Kaitlyn Phillipson
No homework was collected in Kent’s section, with grades based on exams and quizzes. Phillipson’s section was described as having a fairly light workload.
historical GPA · grades
Fall 2022–Spring 2026Theory of linear algebra covering vector spaces, transformations, and eigenvalues, with an introduction to proofs and proof writing.
Offering recorded · Spring 2027 · Sources
Past student reviews · Howard Becker
Homework was a moderate level, but exams required applying abstract concepts from class to create original proofs, making them moderate to difficult.
historical GPA · grades
Fall 2022–Spring 2026Linear Algebra and Optimization introduces linear algebra, multivariable calculus, and optimization theory with applications to data science, implemented in Python.
Offering recorded · Spring 2027 · Sources
historical GPA · grades
Spring 2025–Spring 2026 · limited sampleCovers topics in multi-variable calculus and introduces differential equations, focusing on integral multivariable calculus and elementary ordinary differential equations.
Offering recorded · Spring 2027 · Sources
Past student reviews · Brian Street
Reviewers characterized the course as not easy and one of the hardest classes they had taken, though they felt the professor taught the material well.
historical GPA · grades
Spring 2023–Spring 2026An introduction to mathematical research. Instruction in ancillary skills such as literature review, mathematical software use, technical writing and communication, etc. Requires acceptance to the Madison Experimental Mathematics undergraduate research lab.
Offering recorded · Spring 2027 · Sources
No recorded grade history
Theory of single variable calculus teaching math majors to write and understand proofs in mathematics and calculus.
Offering recorded · Spring 2027 · Sources
Past student reviews · Grace Work
Homework was challenging but directly prepared students for exams, which were tough yet fair and manageable for those who engaged with the material.
historical GPA · grades
Fall 2022–Spring 2026Applied Linear Algebra reviews matrix algebra, covering eigenvalues, diagonalization, and quadratic forms with numerical aspects and scientific applications.
Offering recorded · Spring 2027 · Sources
Past student reviews · Pouria Behnoudfar
Pouria Behnoudfar assigned homework unpredictably, sometimes with less than a week to complete, and exams were described as more difficult than the material taught in class, requiring significant self-study to succeed.
historical GPA · grades
Spring 2023–Spring 2026Covers mathematical foundations of networks for data science, focusing on algorithmic graph theory, linear algebra, network statistics, and PageRank.
Offering recorded · Spring 2027 · Sources
Past student reviews · Hanbaek Lyu
Deadlines were flexible with frequent homework extensions, while tests were challenging but manageable with consistent study.
historical GPA · grades
Fall 2023–Spring 2026College Geometry I introduces Euclidean or non-Euclidean geometry, focusing on axiomatic and coordinate geometry, triangles, and circles.
Offering recorded · Spring 2027 · Sources
Past student reviews · Mikhail Ivanov
Homework assignments were significantly harder than the lecture examples, and students found the midterm exam to be particularly challenging.
historical GPA · grades
Spring 2023–Spring 2026Introduction to Number Theory covering proof writing techniques, divisibility, primes, congruences, and Fermat's theorem.
Offering recorded · Spring 2027 · Sources
Past student reviews · Botong Wang
Students reported that the homework directly prepares them for exams, which were described as very straightforward. The class involved lecture-heavy instruction.
historical GPA · grades
Fall 2022–Spring 2026A rigorous, proof-based introduction to ordinary differential equations and dynamical systems, covering formal definitions, standard theorems, and mathematical argumentation.
Offering recorded · Spring 2027 · Sources
Past student reviews · Jessica Lin
One student rated the difficulty as 5 out of 5, indicating a very challenging academic experience.
historical GPA · grades
Spring 2023–Spring 2026 · limited sampleAnalysis I covers real numbers, set theory, metric spaces, basic topology, sequences and series, limits, continuity, differentiation, integration, and uniform convergence.
Offering recorded · Spring 2027 · Sources
Past student reviews · Yayi Fu
Yayi Fu covered a massive amount of material that could feel overwhelming. The final exam was worth 40% of the grade and was harder than the midterms, which were derived directly from review exercises.
historical GPA · grades
Fall 2022–Spring 2026Analysis II covers advanced real analysis topics such as special functions, power series, Fourier series, compactness, normed-space calculus, and the implicit and inverse function theorems.
Offering recorded · Spring 2027 · Sources
Past student reviews · Betsy (Lindsay) Stovall
One student reported that tests were extremely tough but fair, and homework was similarly challenging, recommending that students study the proofs and homework closely to succeed.
historical GPA · grades
Fall 2022–Spring 2026Rigorous intro to probability theory covering Kolmogorov axioms, random variables, and classical results with proofs; uses minimal measure theory.
Offering recorded · Spring 2027 · Sources
Past student reviews · Vadim Gorin
Homework varied drastically between manageable and really difficult, and one student felt the final exam was harder than past versions, though the midterm was not too bad.
historical GPA · grades
Spring 2023–Spring 2026Rigorous introduction to math for data science covering matrix factorizations, optimization, probabilistic models, and Markov chains with applications to machine learning.
Offering recorded · Spring 2027 · Sources
Past student reviews · Hanbaek Lyu
A student said Hanbaek Lyu’s exam philosophy was to make exams pretty hard but grade them leniently, and the course felt like an extension of linear algebra with a focus on proofs.
historical GPA · grades
Fall 2022–Spring 2026MATH 541 covers groups, rings, ideals, homomorphisms, and vector spaces.
Offering recorded · Spring 2027 · Sources
Past student reviews · Mikhail Ivanov
Exams and assignments were very doable.
historical GPA · grades
Fall 2022–Spring 2026Modern Algebra 2 covers field extensions, roots of polynomials, splitting fields, simple extensions, linear transformations, matrices, characteristic roots, canonical forms, and determinants.
Offering recorded · Spring 2027 · Sources
Past student reviews · Uri Andrews
Homework was tough with over ten proof-based problems per week, but Andrews was flexible and accommodating with the workload.
historical GPA · grades
Fall 2022–Spring 2026Point-set topology covering topological spaces, connectedness, compactness, separation axioms, and metric spaces.
Offering recorded · Spring 2027 · Sources
Past student reviews · Paige Hillen
A student found the homework fair and noted that quizzes and exams were very manageable if they stayed on top of the material.
historical GPA · grades
Fall 2022–Spring 2026