← 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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51 courses

Historical grades cover up to five years through the selected term. Only courses with at least 100 letter grades are ranked.

MATH 319 teaches techniques for solving linear ordinary differential equations, including series solutions, boundary value problems, Laplace transforms, and numerical methods.

Offering recorded · Fall 2026

Historical reviews of Jessica Lin, Mihaela Ifrim, Xiuxiong Chen: Workload varies from memorizing the textbook to managing a heavy time crunch on tests, with some students noting simple mistakes in homework assignments.

historical GPA · grades

Spring 2022–Spring 2026

Introduction to probability and mathematical statistics covering distributions, moments, and estimation.

Offering recorded · Fall 2026

The workload includes ten homeworks, one midterm, and one final, with exams described as easy if students engage with the provided materials.

historical GPA · grades

Spring 2022–Spring 2026

MATH 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 2026

MATH 141 develops quantitative reasoning and problem-solving skills for students satisfying the Quantitative Reasoning Part A requirement without pursuing calculus.

Offering recorded · Fall 2026

Historical reviews of Joel Robbin, Travis Olson: Students report easy tests with frequent drops and no final exam, though Joel Robbin's reviews note the material can be unclear without self-study.

historical GPA · grades

Spring 2022–Spring 2026

Covers theory and algorithms for nonlinear optimization, focusing on unconstrained methods like quasi-Newton and trust-region techniques.

Offering recorded · Fall 2026

Assignments are graded harshly, and the course is notoriously difficult, requiring significant preparation to keep up with the rigorous material.

historical GPA · grades

Spring 2022–Spring 2026

Covers 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 2026

A 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 2025

Theory of Probability I introduces measure theoretic probability and stochastic processes.

Offering recorded · Fall 2026

Historical reviews of Hao Shen, Jun Yin: Jun Yin's materials were hard with a weird curve, while Hao Shen was very test-heavy and did not provide proper preparation for exams.

historical GPA · grades

Fall 2022–Fall 2025

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

Offering recorded · Fall 2026

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.

historical GPA · grades

Fall 2022–Fall 2025

Linear 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 2025

Abstract 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 2025

Rigorous 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 2025

MATH 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 2025

Methods of Computational Mathematics I covers finite difference and volume methods for PDEs, analyzing accuracy and stability, and solving linear systems.

Offering recorded · Fall 2026

One historical review describes the load as not heavy, while others do not specify workload intensity.

historical GPA · grades

Fall 2022–Fall 2025

A historical survey of the main lines of mathematical development.

Offering recorded · Fall 2026

Exams are described as purposefully difficult, with the second midterm carrying 20% of the grade and containing only four questions, making small errors costly.

historical GPA · grades

Spring 2022–Fall 2025

MATH 751 introduces algebraic and differential topology, covering homotopy, manifolds, and homology.

Offering recorded · Fall 2026

historical GPA · grades

Fall 2022–Fall 2025

Methods 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 2025

ECE/MATH/STAT 888 covers advanced topics in the mathematical foundations of data science.

Offering recorded · Fall 2026

historical GPA · grades

Fall 2022–Spring 2026

A graduate-level seminar covering selected topics in mathematical analysis.

Offering recorded · Fall 2026

historical GPA · grades

Spring 2022–Spring 2026

MATH 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 2025

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 2025