FACULTY OF NATURAL SCIENCES

Department of Mathematics

Address: Box 23355, San Juan, Puerto Rico 00931-3355

Telephone: (787) 764-0000, ext. 2204, 7318

Fax: (787) 281-0651

E-mail: mathdpt@uprrp.edu

Web address: http://math.uprrp.edu

DEGREE OFFERED

MS in Mathematics

FACULTY

Isadore Brodsky, PhD, University of Maryland, 1972, Professor.
Computer science; database theory; functional analysis; logic; set theory

Iván Cardona, PhD, Florida State University, 1987, Professor.
Geometric topology; three-dimensional manifolds and knot theory

Francis Castro, PhD, City University of New York, 1997, Professor.
Algebraic geometry; number theory

Italo J. Dejter, PhD, Rutgers University, 1975, Professor.
Graph theory; combinatorial design; error-correcting codes; algebraic combinatorics

M. Reza Emamy K, PhD, University of California at Berkeley, 1981, Professor.
Convex and discrete geometry; polytopes; threshold logic; hypercube optimization

Raúl Figueroa, PhD, University of Iowa, 1988, Professor.
Finite geometries; finite fields; combinatorics; algebraic geometry

Guihua Gong, PhD, State University of New York at Stony Brook, 1990, Professor.
Functional analysis; operator algebras; index theory; global analysis; non-commutative differential geometry

Puhua Guan, PhD, The Ohio State University, 1985, Professor.
Symbolic computation; hypercube structure; cellular automata

Heeralal Janwa, PhD, Syracuse University, 1986, Professor.
Coding theory; combinatorics; discrete mathematics; cryptography; algebraic geometry over finite fields and applications; computational algebraic number theory; high performance computing; applications of parallel computation to CISE; bioinformatics

Alexander Kelmans, PhD, Soviet Academy of Sciences, 1968, Professor.
Graph theory; combinatorial optimization; discrete optimization and algorithms; network reliability; random graphs; matroids and polymatroids; algorithms complexity

Valentín Keyantuo, PhD, Université de Franche-Comté, France, 1992, Professor and Director.
Functional analysis; semi-groups of operators; evolution equations; partial differential equations

Liangqing Li, PhD, University of Toronto, 1995, Professor.
Functional analysis; operator algebras

Jorge M. López, PhD, University of Oregon, 1975, Professor.
Harmonic analysis; mathematics education

Javier Luque, PhD, Massachusetts Institute of Technology, 1984, Professor.
Continuous non-linear optimization

Cornel Pasnicu, PhD, Universitatea din Bucuresti, 1987, Professor.
Functional analysis; operator algebras

Philip Pennance, PhD, University of Puerto Rico, 1989, Professor.
Discrete mathematics

Luis Raúl Pericchi, PhD, University of London, Imperial College, 1981, Professor.
Mathematical statistics; Bayesian statistics applications; computational statistics

María Eglée Pérez, PhD, Universidad Central de Venezuela, 1994, Assistant Professor.
Bayesian statistics; biostatistics

Jorge Punchín, PhD, University of Delaware, 1978, Professor and Graduate Program Coordinator.
Functional analysis; partial differential and integral operators in non-homogeneous boundary value problems

Ana H. Quintero, PhD, Massachusetts Institute of Technology, 1980, Professor.
Mathematics education

Dieter Reetz, PhD, Freie Universität, 1979, Professor.
Applied stochastic processes

Pedro J. Rodríguez Esquerdo, PhD, University of California at Santa Barbara, 1983, Professor.
Probability and statistics; quality control

Pablo Salzberg, PhD, Pontificia Universidad Católica de Chile, 1975, Professor.
Discrete mathematics; computational geometry; statistics

Silviu Teleman, PhD, Universitatea din Bucuresti, 1968, Professor.
Partial differential equations; abstract harmonic analysis; functional analysis; theory of operators; Von Neumann algebras; Choquet theory

Mahamadi Warma, PhD, Universität Ulm, 2002, Assistant Professor.
Linear and nonlinear differential and partial differential equations; regularity of solutions of partial differential equations; potential theory; semi-group of linear and nonlinear operators; evolution equations

ASSOCIATED FACULTY

Mariano Marcano, PhD, State University of New York at Stony Brook, 1998, Associate Professor.
Bio-Mathematics: inverse problem in renal physiology

Ivelisse Rubio, PhD, Cornell University, 1998, Professor.
High performance computation; parallel programming; mathematical and computational model calculation for genetic networks

MASTER’S PROGRAM

Admission Requirements

Applicants must meet the general requirements for admission to graduate studies at the Río Piedras Campus. In addition, the Department of Mathematics Graduate Program requires the following:

  • Application Form- Graduate Program in Mathematics
  • Application for Admission to Graduate Studies in paper or electronic format
  • Three official copies of academic transcripts that include all courses taken at the university level
  • Three Recommendations for Graduate Studies, at least two from professors who can attest to the applicant’s skills in mathematics, in paper or electronic format
  • Official evidence of the bachelor’s degree in Mathematics, or its equivalent. Applicants must have completed (or otherwise be required to take) courses in Algebra and Analysis, namely Linear Algebra, Abstract Algebra, and Advanced Calculus; courses in Computer Programming, Probability, and Statistics are recommended for those choosing the applied mathematics option
  • Minimum grade point average of 3.00 on a 4.00 scale

The GRE (Graduate Record Examination) Subject Test in Mathematics is optional, but the Graduate Committee will consider good scores when recommending and awarding teaching and research assistantships. An applicant who does not meet all the requirements may be admitted as a provisional student if the Graduate Committee feels that the applicant will be successful in the program once all conditions for admission have been fulfilled within the time determined by the Committee.

Graduation Requirements

Candidates must meet the general graduation requirements of the Río Piedras Campus. In addition, they must satisfy the following requirements of the Department of Mathematics Graduate Program:

  • Complete 30 credits in 6000- or 8000-level courses with a grade point average of 3.00
  • Pass a comprehensive examination
  • Complete and successfully defend the Master’s Thesis.

Program of Study

The Graduate Committee will announce the date on which a placement exam will be administered in Algebra (including Linear Algebra) and Analysis (Advanced Calculus, including Functions of Several Variables). All students, especially those planning to pursue studies in the Doctoral Program in Mathematics, are advised to take the exam. If necessary, students will be advised to take courses in these areas.

Area of Pure Mathematics

Program Requirements

Credits

Required Courses

18

MATE 6201 Modern Algebra I

3

MATE 6261 Functions of Real Variables I

3

MATE 6301 Functions of a Complex Variable

3

MATE 6540 Introduction to Topology

3

MATE 6202 Modern Algebra II or
MATE 6262 Functions of Real Variables II or
MATE 6551 Algebraic Topology I
(At least one of the following two-semester sequences must be completed: MATE 6201-6202, MATE 6261-6262, MATE 6540-6551)

3

MATE 6800 Graduate Seminar

3

Elective courses chosen under guidance

9

MATE 6910 Comprehensive Examination

0

Thesis

3

MATE 6996 Master’s Thesis

3

MATE 6896 Continuation of Thesis

0

Total Credits

30

Area of Applied Mathematics

Program Requirements

Credits

Required Courses

15

MATE 6601 Probability and Statistics I

3

MATE 6681 Data Structures I

3

MATE 6680 Computational Analysis or
MATE 6881 Linear Programming or
MATE 6882 Non-linear Programming

3

MATE 6602 Probability and Statistics II or
MATE 6682 Data Structures II or
MATE 6680 Computational Analysis or
MATE 6881 Linear Programming or
MATE 6882 Non-linear Programming
(Courses must be chosen so as to complete a minimum of one of the following two-semester sequences: MATE 6601-6602, MATE 6681-6682, MATE 6680-6881 or 6882)

3

MATE 6700 Projects in Applied Mathematics

3

Elective courses chosen under guidance

12

MATE 6910 Comprehensive Examination

0

Thesis

3

MATE 6996 Master’s Thesis

3

MATE 6896 Continuation of Thesis

0

Total Credits

30

Description of Courses (PDF)

 
 
   

Office of the Dean for Graduate Studies and Research©2009-2011
University of Puerto Rico-Río Piedras Campus

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