Bulletin 2000-2002
School of Science
Science Building (LD) 222
402 North Blackford Street
Indianapolis, IN 46202-3276
(317) 274-0625
School of Science Home Page 		Department of Mathematical Sciences
Science Building, LD 270
402 N. Blackford Street
Indianapolis, IN 46202-3216
(317) 274-6918
Department of Mathematical Sciences Home Page

Graduate Programs

The Department of Mathematical Sciences offers graduate training leading to the Purdue University Master of Science degree. Qualified students may be authorized to pursue the Ph.D. in mathematics at IUPUI in areas where a program has been arranged with Purdue, West Lafayette. The M.S. degree requires two years of graduate study, and the Ph.D. degree typically requires two to three additional years of study.

Admission Requirements

Students entering a graduate program in mathematics should have completed an undergraduate program containing as many courses as possible in abstract algebra, linear algebra, advanced calculus, differential equations, logic and foundations, and probability.

Students entering the graduate program in applied mathematics or the graduate program in industrial and applied mathematics should have completed an undergraduate program in mathematics or an undergraduate program in engineering or physical sciences that was strongly oriented toward mathematics.

Students entering the master’s program in applied statistics must have a bachelor’s degree from an accredited institution. The minimal mathematics requirement for admisssion to this program includes an undergraduate sequence in univariate and multivariate calculus (equivalent to MATH 163, 164, 261) and one mathematics course beyond the calculus level. Prospective applicants who do not have this background must take all or part of the calculus sequence prior to admission to the program. Applicants who lack a course beyond the calculus sequence must complete such a course as soon as possible after conditional admission.

Application for Admission

Students who wish to pursue an advanced degree in the Department of Mathematical Sciences should fill out a graduate student application form. Applicants are urged to submit GRE scores in mathematics. Foreign students for whom English is not their native language and who have not completed a bachelor’s or master’s degree program from an English-speaking university must submit TOEFL scores. While this application is being processed, the student may enter IUPUI as a temporary graduate student. No more than 12 hours of credit earned under this classification may be applied toward an advanced degree. Those who do not want to pursue an advanced degree, but who desire to take graduate courses for personal improvement, may also take courses under the temporary graduate student classification.

Transfer Credit

The Department of Mathematical Sciences will accept by transfer a maximum of 9 hours of graduate credit, in excess of undergraduate degree requirements, from approved institutions.

Assistantships and Fellowships

Financial support is available to qualified students in the form of University Fellowships, graduate teaching assistantships, and tuition scholarships. Additional summer support is available through summer teaching for students whose performance in course work and assistantship duties is satisfactory.

English Requirements

All advanced degree candidates are required to demonstrate acceptable proficiency in English composition.

Foreign students for whom English is not their native language and who have not completed a bachelor’s or master’s degree program from an English-speaking university must take the ESL exam administered by the IUPUI English as a Second Language Program. Students not scoring sufficiently high will be required to take designated courses in English while pursuing their graduate studies.

Master of Science

A minimum of 30 credit hours of course work is required for an M.S. degree. Course grades must be A or B with the possible exception of at most two grades of C. Neither a thesis nor a comprehensive examination is required. Several core courses are specific to an M.S. plan of study and vary according to the student’s interest in
  1. pure mathematics with a Ph.D. objective
  2. pure mathematics without a Ph.D. objective
  3. applied mathematics with a Ph.D. objective, or
  4. applied mathematics without a Ph.D. objective
The remaining courses are selected by the student and his or her advisory committee.

Master of Science (Option for Teachers)

This nonthesis program requires a minimum of 30 credit hours of course work and is tailored for secondary school teachers and students who are preparing to become secondary school teachers. Core requirements include a course in geometry, a course in algebra, a course in analysis, a course in modeling/differential equations, and a course in probability. (See the Department of Mathematical Sciences for a more complete description of this program.) Course grades must be A or B with the possible exception of at most two grades of C.

Master of Science (Concentration in Industrial and Applied Mathematics)

The master of Science degree with a concentration in Industrial and Applied Mathematics consists of a minimum of 30 credit hours. Course grades must be A or B with the possible exception of at most two grades of C. Candidates for this degree may choose a thesis option, a nonthesis option or an industrial internship option. The nonthesis option requires 18 credit hours in the core curriculum and 12 credit hours in elective courses. The core curriculum consists of two courses in each of the following areas: applied mathematical methods, applied computational methods, and mathematical modeling of physical systems. The elective courses should preferably be in an area of application outside mathematics, unless otherwise approved by the faculty advisor. Both the thesis and the industrial internship option require 18 credit hours in the core curriculum and 6 credit hours in elective courses; the remaining 6 credit hours involve the thesis or the industrial internship work.

Master of Science (Concentration in Applied Statistics)

The Master of Science degree with a concentration in applied statistics consists of a minimum of 30 credit hours. Course grades must be A or B with the possible exception of at most two grades of C. Candidates for this degree may choose either the thesis option or the nonthesis option. Both options require 15 credit hours in the core curriculum consisting of STAT 512, 514, 519, 524, and 528. The two-course sequence in probability and mathematical statistics (STAT 519, 528) must be taken by all degree candidates.

The nonthesis option consists of 15 credit hours beyond the core curriculum, at least 9 of which must be statistics (STAT) courses. The remaining courses may be taken in mathematics or in areas relevant to statistical applications, subject to approval of the academic advisor. A combined written and oral final examination is required.

The thesis option requires a thesis worth 6 credit hours on a topic approved by the candidate’s academic advisor. At least 6 of the remaining 9 credit hours must be taken in statistics or in a subject related to statistical applications that has been approved by the advisor. A written final examination and an oral defense of the thesis are required.

Doctor of Philosophy

Qualified students may be authorized to pursue the Ph.D. in mathematics at IUPUI in areas where a program has been arranged with Purdue, West Lafayette. To be admitted to candidacy for the Ph.D. degree, the student must have fulfilled the following requirements and must have been accepted by the graduate committee of the Department of Mathematical Sciences.

Requirements

  1. The student must satisfy, by one of the five options approved by the graduate school, the foreign language requirement in German, Russian, or French.
  2. The student must pass qualifying examinations in four subject areas: abstract algebra, real analysis, and two additonal areas chosen by the student from a list of approved areas. A student may attempt any particular qualifier examination up to three times, but there are time limits imposed by the department for passing all four examimations.
  3. The student must submit to the graduate school through the department a plan of study including at least 42 credit hours of approved graduate course work.
  4. The student must pass advanced topics examinations. These oral or written examinations may be taken only by students who have completed requirement 2.

A candidate will be recommended to the faculty to receive the Ph.D. degree after a thesis, submitted in final form, has been accepted by the advisory committee and presented before an open colloquium or seminar.

The department has set time limits for completion of the Ph.D. degree.
 

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