FACULTY OF NATURAL SCIENCES
Department of Mathematics
Address: Box 23355, San Juan, Puerto Rico 009313355
Telephone: (787) 7640000, ext. 2204, 7318
Fax: (787) 2810651
Email: 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; threedimensional 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; errorcorrecting 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; noncommutative 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 FrancheComté, France, 1992, Professor and Director.
Functional analysis; semigroups 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 nonlinear 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 nonhomogeneous 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; semigroup of linear and nonlinear operators; evolution equations
ASSOCIATED FACULTY
Mariano Marcano, PhD, State University of New York at Stony Brook, 1998, Associate Professor.
BioMathematics: 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 8000level 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 twosemester sequences must be completed: MATE 62016202, MATE 62616262, MATE 65406551) 
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 Nonlinear 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 Nonlinear Programming
(Courses must be chosen so as to complete a minimum of one of the following twosemester sequences: MATE 66016602, MATE 66816682, MATE 66806881 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)
