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Sample curriculum: Ph.D. in Mechanical Engineering and M.S.E. or M.A. in Applied Mathematics & Statistics

Applied Mathematics & Statistics has already formalized a Joint Master's-Doctoral Program: “Graduate students who are Ph.D. candidates in other departments may pursue simultaneously a master's program in Applied Mathematics & Statistics with the approval of their doctoral department. Forms for presentation of a proposed program for approval may be obtained from the Student Coordinator in the Applied Mathematics & Statistics Departmental Office.”

“Students may elect to work toward the Master of Arts (M.A.) or the Master of Science in Engineering (M.S.E.). Both degrees ordinarily require a minimum of two consecutive semesters of registration as a full-time resident graduate student. To obtain departmental certification for the master's degree the student must: 1.Complete satisfactorily at least 8 one-semester courses of graduate work in a coherent program approved by the faculty advisor. All 600-level and 700-level courses and some 400-level courses in the department are satisfactory for this requirement. Certain courses in other departments are also acceptable. At most 3 courses outside the department may be counted toward the Master's degree requirements. 2.Meet any one of the following three options: (a) Pass one of the five written qualifying examinations. These examinations are given by the Department once annually during the January Intersession; (b) Submit an acceptable research report based on an approved project; (c) Complete satisfactorily 2 additional one-semester graduate courses, as approved by the faculty advisor. 3.Demonstrate a working knowledge of the utilization of computers in the mathematical sciences.” Option (c) could work well for CEAFM-affiliated students with the dual program. For instance:

• 550.420 Introduction to Probability
• 550.426 Introduction to Stochastic Processes
• 550.620 Probability Theory I
• 550.491 Applied Analysis for Engineers and Scientists
• 550.682 Numerical Analysis
• 550.692 Matrix Analysis and Linear Algebra
• 550.723 Markov Chains
• 530.621 Fluid Mechanics I
• 530.625 Turbulence
• 530.639 Scientific Computing
  

With these (or equivalent set) courses the student can petition the Applied Mathematics & Statistics Department for award of a M.S.E. or M.A. degree in Applied Mathematics & Statistics.

Completion of Ph.D. thesis in ME requires additional courses according to ME rules.