# Graduate Courses

For complete graduate course listings in Mathematics, please visit either:

## 5000 level core courses

**MATH 5285H **- Honors: Fundamental Structures of Algebra I

**MATH 5286H** - Honors: Fundamental Structures of Algebra II

**MATH 5345H **- Honors: Introduction to Topology

**MATH 5583 **- Complex Analysis

**MATH 5615H **- Honors: Introduction to Analysis I

**MATH 5616H **- Honors: Introduction to Analysis II

**MATH 5651 **- Basic Theory of Probability and Statistics

**MATH 5652 **- Introduction to Stochastic Processes

## 8000 level core courses (doctoral level)

**MATH 8203 **- Category Theory and Homological Algebra **(Run in Fall 2024 as 8211) **

**MATH 8301 **- Algebraic Topology

**MATH 8441 **- Numerical Analysis and Scientific Computing

**MATH 8601 **- Real Analysis

**MATH 8651 **- Theory of Probability Including Measure Theory

**MATH 8654 **- Fundamentals of Probability Theory and Stochastic Processes

**MATH 8701** - Complex Analysis

**MATH 8202 **- General Algebra

**MATH 8246 **- Group Theory

**MATH 8302 **- Manifolds and Topology

**MATH 8365 **- Riemannian Geometry

**MATH 8402 **- Mathematical Modeling and Methods of Applied Mathematics

**MATH 8442 **- Numerical Analysis and Scientific Computing

**MATH 8602 **- Real Analysis

## 5000 level elective coursework

**MATH 5067 - **Actuarial Math I

**MATH 5068 -** Actuarial Math II

**MATH 5075 -** Math Finance I

**MATH 5076 -** Math Finance II

**MATH 5165 -** Math Logic I

**MATH 5166 -** Math Logic II

**MATH 5248 -** Cryptology

**MATH 5251 -** Codes, Fields, Curves

**MATH 5335 -** Geometry I

**MATH 5336 -** Geometry II

**MATH 5378 -** Differential Geometry

**MATH 5385 -** Comput Alg Geom

**MATH 5445 -** Math Analysis of Bio Networks

**MATH 5447 -** Theoretical Neuroscience

**MATH 5467 - **Wavelets

**MATH 5481 - **Industrial Problems I

**MATH 5482 -** Industrial Problems II

**MATH 5485 **- Numerical Methods I

**MATH 5486 **- Numerical Methods II

**MATH 5487 **- Computation Math I

**MATH 5488 **- Computation Math II

**MATH 5490 **- Topics in Applied Math

**MATH 5525 **- Intro Differential Equations

**MATH 5535 **- Dynamical Systems and Chaos

**MATH 5587 **- Elementary PDE I

**MATH 5588 **- Elementary PDE II

**MATH 5594H **- Honors Mathematics - Topics

**MATH 5654 **- Prediction and Filtering

**MATH 5705 **- Enumerative Combinatorics

**MATH 5707 **- Graph Theory and Non-enumerative Combinatorics

**MATH 5711 **- Linear Programming and Combinatorial Optimization

**MATH 5900** - Tutorial in Advanced Mathematics

**MATH 5990 **- Topics in Mathematics

## 8000 level elective coursework (doctoral level)

**MATH 8141 -** Applied Logic

**MATH 8142 - **Applied Logic

**MATH 8151 - **Axiomatic Set Theory

**MATH 8152 - **Axiomatic Set Theory

**MATH 8166 -** Recursion Theory

**MATH 8167 -** Recursion Theory

**MATH 8172 -** Model Theory

**MATH 8173 -** Model Theory

**MATH 8190 -** Topics in Logic

**MATH 8201 -** General Algebra

**MATH 8207 - **Theory of Modular Forms and L-Functions

**MATH 8208 - **Theory of Modular Forms and L-Functions

**MATH 8211 -** Commutative and Homological Algebra

**MATH 8212 -** Commutative and Homological Algebra

**MATH 8245 -** Group Theory

**MATH 8251 -** Algebraic Number Theory

**MATH 8252 -** Algebraic Number Theory

**MATH 8253 -** Algebraic Geometry

**MATH 8254 -** Probabilistic Modeling and Computation

**MATH 8270 -** Topics in Algebraic Geometry

**MATH 8271 -** Lie Groups and Lie Algebras

**MATH 8272 -** Lie Groups and Lie Algebras

**MATH 8280 - **Topics in Number Theory

**MATH 8300 -** Topics in Algebra

**MATH 8306 -** Algebraic Topology

**MATH 8307 -** Algebraic Topology

**MATH 8360 -** Topics in Topology

**MATH 8366 - **Riemannian Geometry

**MATH 8370 -** Topics in Differential Geometry

**MATH 8380 -** Topics in Advanced Geometry

**MATH 8385 -** Calculus of Variations and Minimal Surfaces

**MATH 8386 -** Calculus of Variations and Minimal Surfaces

**MATH 8387 - **Mathematical Modeling of Industrial Problems

**MATH 8388 -** Mathematical Modeling of Industrial Problems

**MATH 8390 - **Topics in Mathematical Physics

**MATH 8401 -** Mathematical Modeling and Methods of Applied Mathematics

**MATH 8431 -** Mathematical Fluid Mechanics

**MATH 8432 -** Mathematical Fluid Mechanics

**MATH 8445 - **Numerical Analysis of Differential Equations

**MATH 8446 **- Numerical Analysis of Differential Equations

**MATH 8450 - **Topics in Numerical Analysis

**MATH 8470 -** Topics in Mathematical Theory of Continuum Mechanics

**MATH 8501 -** Differential Equations and Dynamical Systems I

**MATH 8502 -** Differential Equations and Dynamical Systems II

**MATH 8503 -** Bifurcation Theory in Ordinary Differential Equations

**MATH 8505 -** Applied Dynamical Systems and Bifurcation Theory I

**MATH 8506 -** Applied Dynamical Systems and Bifurcation Theory II

**MATH 8520 -** Topics in Dynamical Systems

**MATH 8530 -** Topics in Ordinary Differential Equations

**MATH 8540 -** Topics in Mathematical Biology

**MATH 8571 -** Theory of Evolutionary Equations

**MATH 8572 - **Theory of Evolutionary Equations

**MATH 8580 - **Topics in Evolutionary Equations

**MATH 8581 -** Applications of Linear Operator Theory

**MATH 8582 -** Applications of Linear Operator Theory

**MATH 8583 -** Theory of Partial Differential Equations

**MATH 8584 - **Theory of Partial Differential Equations

**MATH 8590 -** Topics in Partial Differential Equations

**MATH 8600 -** Topics in Advanced Applied Mathematics

**MATH 8640 -** Topics in Real Analysis

**MATH 8641 -** Spatial Ecology

**MATH 8652 -** Theory of Probability Including Measure Theory

**MATH 8655 -** Stochastic Calculus with Applications

**MATH 8659 - **Stochastic Processes

**MATH 8660 - **Topics in Probability

**MATH 8668 -** Combinatorial Theory

**MATH 8669 -** Combinatorial Theory

**MATH 8680 -** Topics in Combinatorics

**MATH 8702 -** Complex Analysis

**MATH 8790 - **Topics in Complex Analysis

**MATH 8801 - **Functional Analysis

**MATH 8802 -** Functional Analysis

**MATH 8990 -** Topics in Mathematics

**MATH 8991 -** Independent Study