← Mathematics (MATH)

Hardest courses in Mathematics

Plan ahead for courses where students have earned lower grades.

Lowest historical GPA first. At least 100 letter grades over the five years through the selected term. Grades reflect past outcomes, not workload or a guaranteed result.

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48 courses

Ranked courses have at least 100 recorded letter grades.

Covers 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 2026

College Algebra covering properties of elementary functions, equations, inequalities, and graphs. Focuses on formulating, analyzing, solving, and interpreting mathematical and real-world problems to provide algebra skills for calculus.

Offering recorded · Spring 2027 · Sources

Past student reviews · Josh Blatz, Billy Jackson

The class featured hard tests, long online homework assignments, and content some students found overly complicated for a first-semester algebra class.

historical GPA · grades

Fall 2022–Spring 2026

Calculus 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 2026

Preparatory Algebra covers fundamental math skills like real numbers, polynomials, and linear equations. Students must pass a basic skills assessment; it does not count for degree credit.

Offering recorded · Spring 2027 · Sources

Past student reviews · Chaojie Yuan

One student mentioned that Yuan’s accent sometimes made it hard to follow his teaching, though they noted they eventually got used to it.

historical GPA · grades

Fall 2022–Spring 2026

Calculus 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 2026

Survey 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 2026

MATH 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 2026

Covers 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 2026

Calculus 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 2026

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 2026

Linear Optimization covers problems with linear inequality constraints, emphasizing formal proofs, the simplex method's theory, duality, and theorems of the alternatives.

Offering recorded · Spring 2027 · Sources

Past student reviews · Carla Michini

Homeworks were extremely hard at times, though the total volume was limited to eight assignments. The workload is demanding due to the difficulty of the problems rather than the quantity.

historical GPA · grades

Fall 2022–Spring 2026

Rigorous 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 2026

Introductory 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 2026

Covers direct and iterative solutions for linear/nonlinear systems and eigenproblems, including LU/QR factorizations, least squares, and algorithmic stability.

Offering recorded · Spring 2027 · Sources

Past student reviews · Amos Ron

One past student said Amos Ron’s homeworks were 10–15 pages biweekly. Another said the homework took many hours and lectures met three days a week for 75 minutes.

historical GPA · grades

Spring 2023–Spring 2026

College 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 2026

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 2026

Introduction to the Theory of Probability covering axioms, random variables, distributions, expectation, conditional probability, multivariate distributions, inequalities, and limit theorems.

Offering recorded · Spring 2027 · Sources

Past student reviews · Benedek Valko

The course required weekly homework and quizzes, with homework described as lengthy and exams as tough but fair. Lectures were dense, covering topics from the textbook, though students found them manageable if they practiced problems consistently.

historical GPA · grades

Fall 2022–Spring 2026

MATH 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 2026

Introduction 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 2026

Introduction 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 2026

Introduction to cryptography covering secure transmission of digital information, distinguishing perfect from computational security, and introducing technical aspects.

Offering recorded · Spring 2027 · Sources

Past student reviews · Eric Bach

Homeworks were difficult but interesting to work through, while exams were reported to be easier than the homework assignments.

historical GPA · grades

Fall 2022–Spring 2026

Introduction to Discrete Mathematics covering logic, sets, relations, functions, and discrete structures like integers, strings, trees, and graphs.

Offering recorded · Spring 2027 · Sources

Past student reviews · Luke Jeffreys

The course was considered pretty hard due to the sheer amount of content, though the instructor provided fill-in-the-blank lecture notes to save time.

historical GPA · grades

Fall 2022–Spring 2026

Introduction to combinatorics covering enumeration, inclusion-exclusion, generating functions, graph coloring, finite designs, and matching problems with applications in science and puzzles.

Offering recorded · Spring 2027 · Sources

Past student reviews · Mitch Keller

The grading system was unique and demanding: students needed full marks on all assignments and tests or extra credit to achieve an A; otherwise, the highest possible grade was an AB.

historical GPA · grades

Fall 2022–Spring 2026

Covers the graphs, properties and geometric significance of trigonometric functions of a real variable. Other topics include trigonometric equations and identities, trigonometric form of complex numbers, DeMoivre's theorem, and polar and parametric equations. Formulating, analyzing, solving, and interpreting mathematical and real-world problems using trigonometry.

Offering recorded · Spring 2027 · Sources

Past student reviews · Eugenia Malitsky

Attendance was mandatory due to weekly quizzes, with three dropped. Lectures were problem-heavy, and exam preparation materials were identical to the actual exams.

historical GPA · grades

Fall 2022–Spring 2026

Analysis 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 2026

Advanced numerical analysis covering polynomial interpolation, approximation, differentiation, integration, splines, and ODE solvers.

Offering recorded · Spring 2027 · Sources

Past student reviews · Chris Rycroft, Laurel Ohm

One student found the homework tedious but manageable, while another noted a heavy workload that was doable with time. Rycroft's exams were challenging but included partial credit, whereas Ohm's exams were described as having very reasonable difficulty.

historical GPA · grades

Fall 2022–Spring 2026

Introduction to Probability and Mathematical Statistics I covers probability theory, combinatorial methods, discrete and continuous distributions, moments, and estimation.

Offering recorded · Spring 2027 · Sources

Past student reviews · Garvesh Raskutti

One student found exams crazy difficult and felt the instructor assumed students had taken analysis. Another said open-book exams required high mathematical skills.

historical GPA · grades

Fall 2022–Spring 2026

Survey 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 2026

Theory 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 2026

Modern 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 2026