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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 students for careers in industrial research and academia.

Degree requirements

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

  • 84 credit hour requirement for students entering with a bachelor's degree (approximately 52 for students entering with a master's degree)
  • Qualifying Exam, fulfilled by passing written test in three of four core areas of study listed under the M.S. degree. The areas are chosen by the student and the qualitying exam must be completed within the first five semesters of study (withing the first three sememsters for students entering with a masters degree in mathematics or applied mathematics.) The written test will be offered twice every year. one in the early Fall (September) and the other in early Spring (January or February). The tests are given in each area separately and students can take the tests in one, two or three areas each time.
  • Elective courses and applications area requirement: Besides the courses in the core areas of study, the remaining courses in the program are selected in consultation with the student's academic adviser. The program must include three to five courses in an area of concentration outside of the department, as approved by the Director of Graduate Studies; these may include 400-level courses.
  • Comprehensive Exam, which consists of an oral examination based on the student's research proposal. The exam aims to ensure that the student has the background to carry out successful research in his/her chosen area and the proposed research has sufficient scholarly merit.
  • 24 to 32 credit hours devoted to thesis research (MATH 691).
  • Dissertation (thesis), which is expected to contain a distinct and substantial, original and publishable contribution to the field of study.
  • Defense: an oral examination in defense of the thesis constitutes completion of the degree

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

Admission criteria

Admisson 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 must also have demonstrated the potential for conducting original research in applied mathematics. Students must remove deficiencies in essential undergraduate courses that are prerequisites for the degree program, in addition to fulfilling all other degree requirements. A cumulative graduate GPA of 3.5/4.0 is usually required. Applicants must submit Graduate Record Examination scores. The following minimum GRE scores are required:

  • Ph.D: 304 (quantitative + verbal) 3.0 (analytical writing), test scores before 2011: 1100 (quantitative + verbal)

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

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

Also see

Required Courses

Core Courses

Course Title
MATH 500 APPLIED ANALYSIS I
MATH 501 APPLIED ANALYSIS II
MATH 540 PROBABILITY and one of the following: 

MATH 543 STOCHASTIC ANALYSIS
MATH 544 STOCHASTIC DYNAMICS
MATH 545 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
 
MATH 553 DISCRETE APPLIED MATHEMATICS I
MATH 554 DISCRETE APPLIED MATHEMATICS II
MATH 577 COMPUTATIONAL MATHEMATICS I
MATH 578 COMPUTATIONAL MATHEMATICS II