The certificate Program in Optimization and Quantitative Decision Science (OQDS), formerly the certificate Program in Engineering and Management Systems (EMS), is focused on developing quantitative skills for optimal decision making in complex and uncertain environments. These skills are increasingly relevant to problems and decisions that face the leaders, managers, engineers, and scientists of our generation. Through this certificate program, students will learn to quantify risk and uncertainty, and to view any complex decision through the lens of mathematical optimization. This outlook will give them a more structured understanding of the decision itself, as they learn to rigorously formulate their constraints, objective functions(s), and the uncertainties involved. It will also lead them to the proper algorithmic tools that are needed to arrive at an optimal decision.
The certificate program can be of interest to students in engineering, the sciences, and the liberal arts who are interested in analytical thinking and quantitative reasoning for the purpose of decision making under uncertainty. Emphasis is placed on rigorous modeling and analysis, taking advantage of the vast flow of data and ubiquitous computing power available today.
The OQDS certificate program complements the certificate programs in applications of computing, statistics and machine learning, applied and computational mathematics, and finance.
The OQDS certificate program is open to both B.S.E. and A.B. students. B.S.E. students are required to take math through Math 201 and 202, which will satisfy the math prerequisites of any of the core courses. However, there is flexibility in the choice of core courses, and the math prerequisites depend on the electives that a student chooses. For A.B. students, it is their responsibility to take the necessary prerequisites for their program of study; students are encouraged to take Math 202 (and preferably Math 201) prior to the certificate program's core course requirements.
To be admitted, interested students should email the Director of the program,email@example.com. The email should state the student's request to participate in the program, and should include the following information: the student's class year, area of concentration, and whether the student has placed out of any course requirements.
The program for each student is worked out by the student and the departmental adviser. The OQDS certificate program does not have a GPA requirement and students may elect to take one requirement on a pass/fail grading basis. Courses taken during Spring 2020 and the 2020-2021 academic year on a pass/fail grading basis are not counted towards the one pass/fail course rule. Certificate program students may double-count no more than two courses for both their concentration and the certificate. The program requirements are as follows:
All students must take five courses from the following three areas:
Students may choose to take more than one course from category (1) or (2) and count the additional course(s) towards category (3) as long as at least one course from category (3) is taken.
1) One core course in optimization
In special circumstances, the Director of the program may approve alternative graduate courses for qualified students. Examples include ORF 522 (Linear and Nonlinear Optimization), ORF 523 (Convex and Conic Optimization), and ECE 522 (Large-Scale Optimization for Data Science).
2) One core course in uncertainty analysis
In special circumstances, the director of the program may approve alternative graduate courses for qualified students. An example is ORF 526 (Probability Theory).
3) Three elective courses on applications to quantitative decision making
In special circumstances, the Director of the program may approve alternative graduate courses for qualified students. Examples include ECE 524 (Foundations of Reinforcement Learning), ORF/APC 550 (Probability in High Dimension).
The program is willing to occasionally add courses which clearly satisfy the objective(s) of each area. Students wishing to propose a course should send the syllabus to the OQDS Director,firstname.lastname@example.org, with an explanation of which area the course satisfies, and why.
A senior thesis or project must be completed and submitted to the program Director,email@example.com, that demonstrates a command of some portion of the core disciplines of uncertainty analysis and/or optimization. Students in engineering departments that require a one-semester project can typically use a suitably designed project to satisfy the requirement.
Acceptable theses can be on a wide range of topics, but they must demonstrate a command of the core disciplines of the OQDS certificate program, including stochastics and/or optimization. The thesis must demonstrate, in appropriate mathematics, the ability to model a problem and perform analysis that leads to some conclusion or scientific result. A thesis with minimal or no mathematical modeling is not acceptable.
Theses that are not allowed include "soft" topics such as the history of a nation’s economy, and hard-science theses (laboratory-based theses) that do not have a significant modeling or data-analysis component (for example, collecting observations and computing basic statistics is not sufficient).
Students who fulfill the requirements of the program receive a certificate of proficiency in "Optimization and Quantitative Decision Science" upon graduation.
Students who join the program after August 1, 2021 will be enrolled in the OQDS program and are subject to its requirements. Students who were enrolled in the EMS program before August 1, 2021 have the option to (i) complete the requirements of the EMS program and receive an EMS certificate, or (ii) complete the requirements of the OQDS program and receive a OQDS certificate. Under no circumstances will both certificates be awarded. Students cannot get the OQDS certificate by completing the old requirements for EMS. Students who have completed their degree (e.g., graduated) cannot retroactively have the EMS certificate renamed OQDS.
Director: Amir Ali Ahmadi, Operations Research and Financial Engineering
As of 9/1/2021: Interim Director: Miklos Racz, Operations Research and Financial Engineering