Georgia Institute of Technology College of Engineering 13 courses 21 total credits
One of the most rapidly growing areas of research in applied mathematics, computer science, and operations research has been dealing with discrete structures. This has been most evident in the fields of combinatorics, discrete optimization, and the analysis of algorithms. Increasingly, work in each of these subjects has come to depend on knowledge of all of them. Indeed, many of the most significant advances have resulted from the efforts of researchers in more than one, if not all three, of these areas. In response to these developments, Georgia Tech has introduced a doctoral degree program in Algorithms, Combinatorics, and Optimization (ACO). This multidisciplinary program is sponsored jointly by the School of Mathematics, the School of Industrial and Systems Engineering, and the College of Computing. Faculty for the program are drawn from these three sponsoring units, as well as from the School of Electrical and Computer Engineering and the College of Business. The ACO program is arranged to bring together the study of discrete structures and the design and analysis of algorithms in areas such as graph theory, integer programming, combinatorial optimization, and polyhedral theory. It is intended for students possessing a strong background in one or more of the fields represented by the three sponsoring units. Each student in the program has a single home department chosen from the School of Mathematics, the School of Industrial and Systems Engineering, and the College of Computing. Courses for the program are drawn from all three of these units, and include study in such areas as combinatorial methods, algebraic structures, probability, the analysis of algorithms, computational complexity, linear programming, discrete optimization, and convex analysis. The College of Computing is one of the sponsors of the multidisciplinary program in Algorithms, Combinatorics, and Optimization (ACO), an approved doctoral degree program at Georgia Tech. The other sponsoring units are the Stewart School of Industrial and Systems Engineering and the School of Mathematics. The degree program is administered by an oversight committee drawn primarily from the sponsoring units.
| Total Credits | 21 credits |
Core Courses
| Code | Course Title | Credits |
|---|---|---|
| CS 6550 | Design and Analysis of Algorithms | 3 |
| CS 6505 or CS 6520 | Computability, Algorithms, and Complexity or Computational Complexity Theory | 3 |
| ISYE 7661 | Theory of Linear Inequalities | 3 |
| ISYE 7686 | Advanced Combinatorial Optimization | 3 |
| MATH 6014 | Graph Theory and Combinatorial Structures | 3 |
| MATH 6121 | Modern Abstract Algebra I | 3 |
| MATH 7018 | Probabilistic Methods in Combinatorics | 3 |
| Total Core Courses | 21 credits | |
School of Computer Science
Two theory courses at the leve of 7000 or above
School of Industrial and Systems Engineering
| Code | Course Title | Credits |
|---|---|---|
| ISYE 6761 | Stochastic Processes I | 3 |
| ISYE 6663 | Nonlinear Optimization | 3 |
School of Mathematics
Two courses selected from: A 6000-level or above topology/geometry course
| Code | Course Title | Credits |
|---|---|---|
| MATH 6337 | Real Analysis I | 3 |
| MATH 6321 | Functions of a Complex Variable I | 3 |
| MATH 6112 | Advanced Linear Algebra | 3 |
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