If you know of a course that might be of interest to the students of PACM, please email us.

Asymptotics, analysis, numerical analysis, and signal processing

Course ID ▾ Course Name
CEE310 Numerical Methods in Engineering and Science
CEE361 Structural Analysis, Intro to Finite Element Methods
CEE513 Introductoin to Finite Element Methods
CEE532 Advanced Finite Element Methods
CHE508 Numerical Methods for Engineers
CHE530 Systems Engineering [numerical methods]
MAE503 Basic Numerical Methods for ODE and PDE
MAE5xx Advanced Numerical Methods for PDE
MAT314 Introduction to Real Analysis
MAT315 Real Analysis
MAT317 Complex Analysis with Applications
MAT330 Analysis I: Fourier Series & PDEs
MAT331 Analysis II: Complex Analysis
MAT332 Analysis III: Integration Theory and Hilbert Space
MAT341 Numerical Analysis
MAT401-02 Advanced Topics in Analysis
MAT585-86 Mathematical Physics
MAT593-94 Wavelets
PHY403/MAT407 Mathematical Methods of Physics
PHY521 Introduction to Mathematical Physics

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Discrete mathematics, combinatorics, algorithms, computational geometry, and graphics

Course ID ▾ Course Name
COS341 Discrete Mathematics
COS423 Theory of Algorithms
COS426 Computer Graphics
COS451 Computational Geometry
COS487 Theory of Computation
COS501 Mathematical Foundations of Computer Science
COS522 Computational Complexity
COS524 Combinatorial Optimization Algorithms
COS525 Mathematical Analysis of Algorithms
COS527 Probabilistic Algorithms
COS528 Data Structures
COS543 Algorithmic Discrete Mathematics
COS593 Advanced Topics in the Theory of Algorithms
COS598D Advanced Topics in Computer Science
MAT306 Introduction to Graph Theory
MAT307 Combinatorial Mathematics
MAT308 Theory of Games
MAT318 Introduction to Structural Graph Theory
MAT595 Topics in Discrete Mathematics
MATxxx Combinatorics

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Mechanics and field theories (and computational physics/ chemistry/ biology)

Course ID ▾ Course Name
AOS575 Numerical Prediction of the Atmosphere and Ocean
AST560 Computational Methods in Plasma Physics
CEE361 Structural Analysis, Intro to Finite Element Methods
COS323 Computing for the Physical and Social Sciences
GEO5xx Computational Modeling in Geophysics
MOL437 Computational Neurobiology and Computing Networks
MOL457 Computational Aspects of Molecular Biology

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Optimization (and linear and nonlinear programming and control theory)

Course ID ▾ Course Name
APC415 Applied Discrete Optimization
CHE527 Nonlinear and Mixed-Integer Optimization
ECO514 Game Theory
ELE520 Optimization and Optimal Control
MAT305 Mathematical Programming
MAT308 Theory of Games
ORF307 Optimization
ORF311 Optimization Under Uncertainty
ORF374 Special Topics in Operations Research & Financial Engineering
ORF417 Dynamic Programming
ORF522 Linear Optimization
ORF523 Nonlinear Optimization
ORF526 Large-Scale Optimization
ORF547 Dynamic Programming

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Partial and ordinary differential equations (and dynamical systems)

Course ID ▾ Course Name
APC503 Analytical Techniques in Differential Equations I
APC504 Analytical Techniques in Differential Equations II
CHE448 Introduction to Nonlinear Dynamics
CHE554 Topics in Computational Nonlinear Dynamics
MAE305 Mathematics in Engineering I
MAE306 Mathematics in Engineering II
MAE501 Mathematical Methods of Engineering Analysis I
MAE502 Mathematical Methods of Engineering Analysis II
MAE541 Applied Dynamical Systems
MAT303 Ordinary Differential Equations
MAT304 Introduction to Partial Differential Equations
MAT535-36 Nonlinear Wave Equations
MAT591-92 Applied Partial Differential Equations

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Stochastic modeling, probability, statistics, and information theory

Course ID ▾ Course Name
CEE505 Intro to Probability Modeling in Civil Engineering and Environmental Science
CEE524 Random Heterogeneous Materials
CEE558 Random Fields and Random Media
ECO300 Statistics and Data Analysis for Economists
ECO306 Econometrics: A Mathematical Approach
ECO309 Econometric Applications
ECO415 Portfolio Theory and Asset Management
ECO513 Advanced Econometrics: Time Series Models
ECO515 Econometric Modeling
ECO517 Econometric Theory I
ECO518 Econometric Theory II
ECO519 Advanced Econometrics: Nonlinear Models
ELE525 Random Processes in Information Systems
ELE528 Information Theory
FIN523 Forecasting and Time Series Analysis
MAT581-82 Stochastic Processes
ORF245 Fundamentals of Engineering Statistics
ORF309 Probability and Stochastic Systems
ORF405 Regression and Applied Time Series
ORF406 Statistical Design of Experiments
ORF504 Financial Econometrics
ORF512 Stochastic Modeling
ORF515 Stochastic Calculus for Engineering and Finance
ORF542 Controlled Markov Processes
ORF549 Stochastic Programming
ORF551 Probability Theory
ORF553 Stochastic Differential Equations
ORF554 Markov Processes
ORF557-58 Stochastic Analysis Seminar
PSY251 Quantitative Methods
WWS509 Generalized Linear Statistical Models