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Doctor of Philosophy in Applied Mathematics


The Ph.D. program provides advanced education through coursework, including independent study, and original, creative research in order to prepare you for a career in industrial research and academia.



Admission to the Ph.D. program normally requires a bachelor's degree in mathematics or applied mathematics. Candidates whose degree is in another field (for example, computer science, physics, or engineering) and whose background in mathematics is strong are also eligible for admission and are encouraged to apply. Candidates in the Ph.D. program also must demonstrate the potential for conducting original research in applied mathematics. You must be caught up in all prerequisite undergraduate courses in addition to fulfilling all other degree requirements. A cumulative graduate GPA of 3.5/4.0 is usually required. At least three letters of recommendation must be submitted. Graduate Record Examination scores with a minimum of 304 (quantitative + verbal) 3.0 (analytical writing) are required.

A TOEFL score of 550/213/80 (paper/computer/internet test score) is required if an applicant is from a non-English speaking country.

» Click here for the admissions page of the IIT Graduate College.

Program Requirements 


All Illinois Tech Graduate School requirements must be satisfied. Specific departmental requirements are:

  • 72 credit hours, for students entering with a bachelor's degree.
  • Core courses. Every student must take and three of the following five courses: Students must maintain a GPA of at least 3.25 in core courses.
  • Qualifying Exams – You must pass three written exams at the Ph.D. level, on

and one of the following:

The first qualifying exam must be passed by the end of the third semester, and all three by the end of the fifth semester. You may attempt each exam twice, if needed. The exams will be offered twice every year, one in the Fall and the other in Spring. You can take up to three exams each semester.

Elective courses and applications are a requirement. Besides the core courses, the remaining courses in the program are selected in consultation with the student's academic adviser. The program must include two to four courses in an area of concentration outside of the department, as approved by the Director of Graduate Studies. These may include up to three 400-level courses.

An oral examination based on the student's research proposal is required. This ensures the student has the background to carry out successful research in his/her chosen area, and the proposed research has sufficient scholarly merit. Requiremenrts include:

  • 24 to 36 credit hours devoted to thesis research (MATH 691).
  • Dissertation, or thesis, which is expected to contain a distinct and substantial, original and publishable contribution to the field of study.
  • An oral examination in defense of the thesis constitutes completion of the degree.
  • The colloqium/seminar course MATH 593 must be taken six times with a satisfactory grade.

Exceptions to these general rules require approval by the departmental Graduate Studies Committee.

» View graduate course descriptions

» View Graduate Bulletin Program Requirements