Updated May 2025
Fall of Odd Years (F2025/F2027)
- Math 501 Real Analysis (Analysis I)
- Math 524 Algebraic Topology
- Math 531 Intersections of Culture & Math
- Math 540 Applied PDEs
- Math 548 Numerical Analysis
- Math 564 Convex and Nonlinear Optimization
- Math 570 Continuum Mechanics
- Math 579 Math Modeling in Bio and Health Sci
- Math 583-1 Applied Differential Geometry
- Math 583-2 Topics in Applied Math
- Stat 443 Applied Probability
- Stat 512 Analysis of Variance of Designed Exp.
- Stat 519 Applied Multivariate Analysis
- Stat 536 Statistical Computing
- Stat 548 Statistical Theory I
- Stat 575 The Theory of Multivariate Analysis
Spring of Even Years (S2026/S2028)
- Math 502 Analysis II
- Math 505/506 Abstract Algebra and Commutative Algebra
- Math 511 Advanced Linear Algebra
- Math 529 Computational Topology
- Math 532 Advanced Mathematical Thinking – every three years: S26, S29, S32
- Math 541 Complex Variables – every three years: S27, S30, S33
- Math 548 Numerical Analysis
- Math 554 Advanced Graph Theory
- Math 565 Optimization for Machine Learning
- Math 583 Nonlinear Analysis for Applications
- Math 587 Topics in Algebra and Linear Algebra – every three years: S28, S31, S34
- Stat 512 Analysis of Variance of Designed Exp.
- Stat 530 Predictive Models: Foundations in Data Science
- Stat 549 Statistical Theory II
- Stat 556 Intro to Statistical Theory
- Stat 577 Statistical Learning Theory
- Stat 590 Statistical Consulting
Fall of Even Years (F2026/F2028)
- Math 501 Real Analysis (Analysis I)
- Math 531 Intersections of Culture & Math
- Math 540 Applied PDEs
- Math 544 Advanced Matrix Computations
- Math 548 Numerical Analysis
- Math 566 Optimization in Networks
- Math 583 Analysis of and on Rough Sets
- Math 585 Topics in Math Bio
- Stat 443 Applied Probability
- Stat 512 Analysis of Variance of Designed Exp.
- Stat 516 Time Series
- Stat 536 Statistical Computing
- Stat 548 Statistical Theory I
- Stat 576 Bayesian Analysis
Spring of Odd Years (S2027/S2029)
- Math 511 Advanced Linear Algebra
- Math 512 Ordinary Differential Equations
- Math 532 Advanced Mathematical Thinking – every three years: S26, S29, S32
- Math 541 Complex Variables – every three years: S27, S30, S33
- Math 545 Numerical Analysis of PDEs
- Math 548 Numerical Analysis
- Math 561 PDEs II
- Math 567 Integer and Combinatorial Optimization
- Math 583 Learning from Images and Signals
- Math 587 Topics in Algebra and Linear Algebra – every three years: S28, S31, S34
- Stat 512 Analysis of Variance of Designed Exp.
- Stat 530 Predictive Models: Foundations in Data Science
- Stat 544 Applied Stochastic Processes
- Stat 549 Statistical Theory II
- Stat 556 Intro to Statistical Theory
- Stat 574 Linear and Nonlinear Mixed Models
- Stat 590 Statistical Consulting
Courses available on demand
7 or more student signatures + instructor agreement required
- Math 503 Complex Analysis
- Math 508 Advanced Mathematical Methods for Physics and Engineering
- Math 543 Stable Numerical Methods Using Orthogonality
- Math 571 Mathematical Foundations of Continuum Mechanics II
- Math 574 Topics in Optimization
- Math 575 Asset Pricing in Financial Engineering
- Math 576 Quantitative Risk Management
Previous Topics Courses – can be run as Math 581, 583, 585, 587, 588, or 589. Topics courses are proposed by faculty 6-12 months in advance
- Harmonic Analysis
- Lie Group Theory
- Random Matrix Theory
- Matrix Positivity
- Representation Theory
- Geometric Analysis
- Differential Geometry
- Finite Element Methods
- Parallel Computations
- Analysis of Neural Systems
- Mathematics of Infection and Immunology
- Stochastic Processes and Applications in Biology
- Topics in Dynamical Systems
- Learning from Images & Signals
- Brain Inspired Computing