Below are 4 examples of the package of courses that might be taken by a student
whose interests lie in the directions of: (1) cryptography, (2) numerical analysis
and modeling, or (3) probability and stochastic processes, (4) statistics.
Cryptography
Math 511a,b - Algebra
Math 563a - Probability*
Math 539 - Coding Theory
Math 543 - Graph Theory
Math 547 - Combinatorics
Two courses from Computer Science or Management Information Science
Numerical Analysis and
Modeling
Math 575a,b - Numerical Analysis
Math 583a - Methods of Applied Mathematics
Math 585 - Modeling, or Math 697B - Applied Mathematics Laboratory
Math 576a,b - Numerical Partial Differential Equations, or Math 553A - Partial
Differential Equations (theory)
Math 697a - Computational Science
Two courses from Aeronautical and Mechanical Engineering
Probability and Stochastic
Processes
Math 523a,b or Math 527a,b - Real Analysis
Math 547 - Combinatorics
Math 563a (b) - Probability*
Math 566 - Theory of Statistics, or Math 561 - Regression and Multivariate Analysis
Math 568 - Stochastic Processes
Two courses from Systems and Industrial Engineering or Management Information
Science, e.g. Queuing Theory
Statistics
Math 567 a, b - Theoretical Statistics*
Math 563a - Probability*
Math 561 - Regression and Multivariate Analysis
Math 562 - Time Series Analysis
Math 571 - Design of Experiments
Two courses in Bioinformatics and courses in the use of standard statistical
packages
*Students with limited background in probability theory may need to take the
dual listed Math 564 Theory of Probability course before taking Math 563, and/or
Math 567.