Doctoral Programs

The Management Science Concentration

Other Requirements

Core Courses and Examination: The core examination is designed to assess the degree to which a student is prepared for advanced work toward a Ph.D. degree. Students must display knowledge of fundamentals of statistics, probability (calculus-based), mathematical analysis, linear algebra, numerical analysis, and mathematical programming.

The courses that cover subject matter related to the core exam are: Probability and Statistics; Mathematical Programming; Deterministic Models; Programming (Data Structures); Mathematical Foundations (Proof Techniques).

Students may have already taken courses during undergraduate preparation which have exposed them to such fundamentals. Otherwise, specific courses, which should be taken, should be identified with the help of the temporary advisor. (Students should have taken Linear Algebra prior to or concurrent with Management Science I; analysis should be taken prior to or concurrent with Management Science II; the Probability and Statistics course should be calculus-based and taken prior to Stochastic Processes, a second year required course.)

The core examination consists of two parts:


              • Methodology:
                Department exam covering fundamentals of
                (i) mathematical concepts (analysis, linear algebra);
                (ii) numerical methods (numerical analysis, data structures); and
                (iii) calculus-based probability and statistics.
              • Management Science:
                Department exam covering
                Management Science I,
                Management Science II, and
                Deterministic Models.


Other Electives: While students are not required to take courses during the summer, it is advised that during the first summer they determine the desirability of taking courses. All students are encouraged to take writing courses - particularly technical writing - during the summer.

The Comprehensive Exam

The comprehensive exam may be taken any time after essential course-work is completed. The exam is designed for each student, and conducted by an examination committee headed by the candidate's advisor. The examination committee must have at least two representatives from the Management Sciences faculty, and at least one from the student's chosen minor area. The exam typically consists of three components:

              • In-class exam (3-6 hours):
                Will consist of questions set by the examination committee. The exam tests knowledge in the area.
              • Take-home exam:
                Consists of questions set by the examination committee and may be open-ended.
              • Oral exam:
                Conducted by all members of the committee