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Graduate Degrees

The Department of Applied Mathematics has four graduate degree programs, with the opportunity for study and research in the four areas of: applied analysis, computational mathematics, discrete applied mathematics, and stochastics.

 

Master of Mathematical Finance
(Collaborative Program with the Stuart Graduate School of Business)

The objective of the MMF program is to provide individuals interested in pursuing careers in financial risk management with advanced education in theoretical, computational and business aspects of relevant quantitative methodologies. This is a collaborative program between the Stuart Graduate School of Business and the Applied Mathematics Department and as such, it will give the students the chance to benefit from the strength of both units.

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

  • 21.6 quarter credits and 18 semester credits requirement (a maximum of 2 graduate courses may be transferred from other institutions in equivalent courses), including
  • Required courses: 10.8 Quarter Credits and 15 Semester Credits
    MSF 571 COMPUTATIONAL FINANCE I 3.6 QRT
    MSF 572 COMPUTATIONAL FINANCE II 3.6 QRT
    MSF 551 FUTURES, OPTIONS AND OTC DERIVATIVES 3.6 QRT
    MATH 542 STOCHASTIC PROCESSES 3 SEM
    MATH 548 MATHEMATICAL FINANCE I: DISCRETE TIME 3 SEM
    MATH 565 MONTE-CARLO METHODS IN FINANCE 3 SEM
    MATH 582 MATHEMATICAL FINANCE II: CONTINUOUS TIME 3 SEM
    MATH 586 THEORY AND PRACTICE OF FIXED INCOME MODELS 3 SEM
  • Elective courses: A minimum of four additional courses, including at least one MATH or CS class, and at least three FM or MSF courses. 10.8 Quarter Credits and 3 Semester Credits
    FM 530 VISUAL BASIC AND DATABASES FOR FINANCIAL MARKETS 3.6 QRT
    MSF 522 FINANCIAL MODELING I 3.6 QRT
    MSF 523 FINANCIAL MODELING II 3.6 QRT
    MSF 561 FINANCIAL TIME SERIES ANALYSIS 3.6 QRT
    MSF 562 ECONOMETRIC ANALYSIS 3.6 QRT
    MSF 573 COMPUTATIONAL FINANCE III 3.6 QRT
    MATH 512 PARTIAL DIFFERENTIAL EQUATIONS 3 SEM
    MATH 513 PDEs FOR FINANCE 3 SEM
    MATH 543 STOCHASTIC ANALYSIS 3 SEM
    MATH 544 STOCHASTIC DYNAMICS 3 SEM
    MATH 583 QUANTITATIVE MODELING OF DERIVATIVE SECURITIES 3 SEM
    MATH 584 MATHEMATICAL PORTOFOLIO AND INVESTMENT THEORY 3 SEM
    MATH 587 THEORY AND PRACTICE OF MODELING RISK AND CREDIT DERIVATIVES 3 SEM
    MATH 589 NUMERICAL METHODS FOR PDEs 3 SEM
    CS 522 DATA MINING 3 SEM

Admission criteria:
Admission to the professional master's program in Mathematical Finance requires a bachelor's degree in mathematics, engineering, or equivalent, with a minimum cumulative GPA of 3.0/4.0. TOEFL scores (if required) must have a minimum score of 550/213/80 (paper/computer/internet test score). A professional statement of goals/objectives (2 pages) and a curriculum vitae must be submitted. Two letters of recommendation are required (at least two must be from academia, the third may be from industry). An interview may also be required.

Typically, admitted students score at least 700 on the quantitative portion of the GRE and at least 3.0 on the analytical portion. However, meeting the minimum or typical GPA test-score requirements does not guarantee admission. GPA and test scores are just two of several important factors considered for admission to the program, including grades in mathematics courses, letters of recommendation and the student's overall record of achievements.

MMF webpage at the Stuart Graduate School of Business

Click here to apply for the Master of Mathematical Finance

 

Master of Science in Applied Mathematics

The M.S. degree program provides a broad background in the fundamentals of the advanced mathematics that is applied to solve problems in the other fields. The goal is to prepare students for careers in industry and for the doctoral program.

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

  • 32 credit hour requirement
  • Required Courses: at least two of the basic sequences in the four core areas of study
  • Elective Courses: The remaining courses in each student's program are selected in consultation with, and approval of, the Director of Graduate Studies. The program may include at most three courses at the 400-level and at most two courses outside the department.
  • Comprehensive exam: This is fulfilled by achieving certification in two of the core areas of study. For procedures governing the certification process, the student should consult the current department regulations.
  • A Master's thesis (up to 5 credit hours of MATH 591), under the supervision of a faculty member
Admission criteria:
Admission 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. 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 undergraduate GPA of 3.0/4.0 is usually required. Applicants must submit Graduate Record Examination scores. The following minimum GRE scores are required:
  • For tests taken prior to Oct.1, 2002: 1500 (combined)
  • For tests taken on or after Oct.1, 2002: 1100 (quantitative + verbal), 2.5 (analytical writing)

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

 

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 achieving better than a 3.5/4.0 GPA on the courses taken in three of the core areas of study and passing an oral examination within the first five semesters of study (within the first three semesters for students entering with a Master's degree). The oral exam covers three of the four core areas, which can be chosen by the student.
  • Elective courses & an 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:
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 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:
  • For tests taken prior to Oct.1, 2002: 1500 (combined)
  • For tests taken on or after Oct.1, 2002: 1100 (quantitative + verbal),3.0 (analytical writing)

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

 

List of Applied Mathematics Graduate Courses

Note: Many courses on this list are being modified from courses that are currently listed in the Graduate Catalog. Catalog course descriptions will be available after changes and additions are approved by the Dean of the Graduate College and by the Registrar.
Click here for more information about courses

The four sequences highlighted in red are the "Core" sequences for the graduate programs in applied mathematics.

MATH 500 APPLIED ANALYSIS I
MATH 501 APPLIED ANALYSIS II
MATH 512 PARTIAL DIFFERENTIAL EQUATIONS
MATH 515 APPLIED DYNAMICAL SYSTEMS
MATH 519 COMPLEX ANALYSIS
MATH 522 MATHEMATICAL MODELING
MATH 530 ALGEBRA
MATH 532 LINEAR ALGEBRA
MATH 540 PROBABILITY
MATH 542 STOCHASTIC PROCESSES
MATH 543 STOCHASTIC ANALYSIS
MATH 544 STOCHASTIC DYNAMICS
MATH 545 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
MATH 546 INTRODUCTION TO TIME SERIES
MATH 548 MATHEMATICAL FINANCE I: DISCRETE TIME
MATH 550 TOPOLOGY
MATH 553 DISCRETE APPLIED MATHEMATICS I
MATH 554 DISCRETE APPLIED MATHEMATICS II
MATH 555 TENSOR ANALYSIS
MATH 556 METRIC SPACES
MATH 557 PROBABILISTIC METHODS IN COMBINATORICS
MATH 563 STATISTICS
MATH 564 APPLIED STATISTICS
MATH 565 MONTE-CARLO METHODS IN FINANCE
MATH 566 MULTIVARIATE ANALYSIS
MATH 567 ADVANCED DESIGN OF EXPERIMENTS
MATH 568 TOPICS IN STATISTICS
MATH 577 COMPUTATIONAL MATHEMATICS I
MATH 578 COMPUTATIONAL MATHEMATICS II
MATH 579 COMPLEXITY OF NUMERICAL PROBLEMS
MATH 581 THEORY OF FINITE ELEMENTS
MATH 582 MATHEMATICAL FINANCE II: CONTINUOUS TIME
MATH 586 THEORY AND PRACTICE OF FIXED INCOME MODELING
MATH 589 NUMERICAL METHODS FOR PDEs
MATH 590 MESHFREE METHODS
MATH 591 RESEARCH AND THESIS FOR THE M.S. DEGREE
MATH 593 SEMINAR IN MATHEMATICS
MATH 594 SPECIAL PROJECTS
MATH 596 MATH FOR TEACHERS: ELEMENTARY
MATH 597 READING & SPECIAL PROJECTS
MATH 598 MATH FOR TEACHERS: HIGH SCHOOL
MATH 601 ADVANCED TOPICS IN COMBINATORICS
MATH 602 ADVANCED TOPICS IN GRAPH THEORY
MATH 603 ADVANCED TOPICS IN COMPUTATIONAL MATHEMATICS
MATH 604 ADVANCED TOPICS IN APPLIED ANALYSIS
MATH 605 ADVANCED TOPICS IN STOCHASTIC ANALYSIS
MATH 691 RESEARCH AND THESIS FOR THE PH.D.

Certification Process (for M.S. degree)

Each of the core areas will have a certification committee consisting of the faculty who has most recently taught, or is teaching, the core course and another faculty member appointed by the Chairman. Typically, evidence used for certification will be performance in the core sequence, but may include other information such as a short oral examination and/or performance in related courses at other institutions.

 

Notes

The director of graduate studies serves as temporary academic adviser for all newly admitted graduate students until an appropriate faculty member is selected as the adviser. Students are responsible for following all departmental procedures as well as the general requirements of the Graduate College.

There are travel awards available for graduate students in applied mathematics. Apply by May for the next school year if possible.

There is a graduate application FAQ.

Research Facilities
The department provides students with office space equipped with computers and full access to the university's computer and library resources. The department also has a 18-processor Beowulf cluster for research purposes.


Last updated by pelsmajer AT iit DOT edu on 10/23/07

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