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Mathematical Sciences
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Master of Science in Pure / Applied Mathematics Program

The Programs

The graduate curriculum seeks to develop a broad and balanced perspective in the mathematical sciences, covering both the traditional areas of pure mathematics and the many interdisciplinary fields in applied mathematics. Students are encouraged to develop a deep understanding in any chosen area of pure of applied mathematics to enable them to pursue a career in either academic or non-academic settings.

The M.S. degree requires two years of graduate study by full-time students and up to four years by part-time students. Students may choose to pursue a master of science with specialization in pure mathematics or applied mathematics. A minimum of 30 credit hours of coursework (that is , at least 10 courses) is required for the degree.

Admissions

Applications are invited from qualified student with at least a Bachelor's degree in mathematics or in the physical sciences or in engineering with a strong mathematics background (at least 13 credit hours of mathematics courses past the calculus sequence). GRE scores are recommended. TOEFL is required for foreign students with the minimum score of 570.

Degree Requirements

A plan of study must be submitted and approved by the department and the Graduate School before the semester in which the student expects to receive the degree. It is desirable that the plan of study be submitted by the end of the second semester of graduate study. A plan of study will not be accepted if it contains courses with a large overlap in content. Subsequent requests for changes in the plan of study must be made with the appropriate form and approved by the advisor, the Director of Graduate Programs, and the Purdue University Graduate School.

The student who plans to continue toward a Ph.D. degree after completion of an M.S. degree should consider the courses on which the qualifying examinations are based before preparing the plan of study for the M.S. degree. Substitutions in course requirements and the transfer of credits from other universities may be permitted with the approval of the Graduate Committee.

A minimum of 30 hours of course credit is required for the regular M.S. degree. The average time for completion of this degree is two years.

Pure Mathematics Requirements

For a student who wishes to continue toward a Ph.D. degree thereafter, the plan of study should include:

Complex Analysis MATH 530
Real Analysis & Measure Theory MATH 544
Principles of Analysis II MATH 545
Abstract Algebra MATH 553
Linear Algebra MATH 554
Topology MATH 571

The remaining four courses are electives and should be chosen with the approval of the student's advisor. One elective must be a course for which one of the above courses is a prerequisite.

For a student who does not wish to continue toward a Ph.D. degree thereafter, the plan of study should include:

Complex Analysis MATH 530
Real Analysis & Measure Theory MATH 544
Principles of Analysis II MATH 545
Abstract Algebra MATH 553
Linear Algebra MATH 554
Topology MATH 571
Probability STAT 519
Geometry MATH 562

The remaining two courses are electives and should be chosen with the approval of the student's advisor.

Applied Mathematics Requirements

For students in applied mathematics, the plan of study should include:

  1. Four general math courses from the following list:

    Ordinary Differential Equations MATH 522
    Complex Analysis MATH 530
    Real Analysis & Measure Theory MATH 544
    Linear Algebra MATH 554
    Partial Differential Equations MATH 523
    Functional Analysis MATH 546
    Probability STAT 519

  2. Four applied math courses from the following list:

    Ordinary Differential Equations MATH 522
    Applied Computational Methods I MATH 559
    Applied Computational Methods II MATH 552
    Mathematical Modeling I MATH 578
    Mathematical Modeling II* MATH 588
    * or a life sciences modeling course

The remaining two courses are electives and should be chosen with the approval of the student's advisor.

For further information, contact Assoc. Professor Klimek, 317-274-8187.


The Department of Mathematical Sciences of
IUPUI
( Indiana University Purdue University Indianapolis)
School of Science.