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Undergraduate Bulletin of Information 2001-2002COLLEGE OF ARTS AND SCIENCESLUIS F. CACERES DUQUE, Assistant Professor,Ph.D., 1998, University of Iowa.GABRIELE CASTELLINI, Professor, Ph.D., 1986,Kansas State University.DENNIS G. COLLINS, Professor, Ph.D., 1975,Illinois Institute of Technology.ELISEO CRUZ MEDINA, Professor, Ph.D., 1963,Universidad Central Marta Abreu, Cuba, D.A., 1983,University of Miami.LAURA R. CUEBAS HONORE, Professor, M.S.,1961, University of Puerto Rico.GLADYS DI CRISTINA YUMET, AssociateProfessor, M.S., 1980, University of Puerto Rico.WIESLAW DZIOBIAK, Associate Professor,Ph.D., 1982, Wroclaw University, Poland.ENRIQUE GALLO ZELEDON, AssistantProfessor, M.S., 1967, University of Puerto Rico,M.S.I.E., 1976, University of California, Berkeley.ANA C. GONZALEZ RIOS, Assistant Professor,M.S., 1988, University of Puerto Rico at Mayagüez.HAEDEH GOORANSARAB, Assistant Professor,Ph.D., 1997, Purdue University.DARRELL W. HAJEK, Professor, Ph.D., 1971,University of Florida.CESAR HERRERA ARIAS, Assistant Professor,M.S., 1985, Ohio State University.IVETTE IRIZARRY SANTOS, AssociateProfessor, M.S., 1978, University of Puerto Rico.MIGUEL L. LAPLAZA, Professor, Ph.D., 1965,Universidad de Madrid, España.RAFAEL MARTINEZ PLANELL,Ph.D., 1983, Michigan State University.Professor,DANIEL McGEE, Associate Professor, Ph.D., 1994,University of Arizona.DEBORAH A. MOORE, Associate Professor, Ph.D.,1995, The University of Oklahoma.LOURDES MORERA BERMUDEZ, Professor,M.S., 1974, Rensselaer Polytechnic Institute.ELEMER NEMESSZEGHY, Professor, Ph.D.,1955, Catholic University of Louvain, Belgium.OCTAVIAN NICOLIO, Associate Professor, Ph.D.,1994, Wichita State University.BHALCHANDRA C. OLTIKAR, Professor, Ph.D.,1977, Carleton University, Canada.ARTURO PORTNOY, Assistant Professor, Ph.D.,1997, Rensselaer Polytechnic Institute.AVIJIT PURKAYASTHA, Associate Professor,Ph.D., 1993, Northern Illinois University.JULIO C. QUINTANA DIAZ, Professor, Ph.D.,1996, University of Wales at Aberystwyth, UnitedKingdom.WILFREDO QUIÑONES ECHEVARRIA,Professor, Ph.D., 1986, University of Massachusetts.BETTY RAMIREZ NIEVES, Professor, Ph.D.,1990, Universidad Politécnica de Madrid, España.PABLO RODRIGUEZ ROSADO, Professor, M.S.,1963, University of Puerto Rico.YURI A. ROJAS RAMIREZ, Associate Professor,M.A., 1985, University of Maryland, Maryland.WOLFGANG ROLKE, Associate Professor, Ph.D.,1992, University of Southern California.KRZYSZTOF ROZGA, Professor, Ph.D., 1976,University of Warsaw, Poland.TOKUJI SAITO, Professor, Ph.D., 1985, TexasA&M University, Texas.HECTOR SALAS OLAGUER, Professor, Ph.D.,1983, University of Iowa.FREDDIE SANTIAGO HERNANDEZ, Professor,Ph.D., 1988, State University of New York at StonyBrook, New York.ROBERT W. SMITH, Professor, Ph.D., 1979,University of Florida.LEV STEINBERG, Associate Professor, 1988,Ph.D., Institute for Mathematics and Mechanics ofAcademy of Sciences, Alma, USSR.PABLO TARAZAGA, Professor, Ph.D., 1977,Universidad Nacional de San Luis, Argentina.NILSA TORO DE ACARON, Associate Professor,M.S., 1983, University of Puerto Rico.PEDRO M. VASQUEZ URBANO, AssistantProfessor, D.Sc., 1997, The George WashingtonUniversity.JULIO VIDAURRAZAGA, Associate Professor,Ph.D., 1982, Suny at Stony Brook, N.Y.178
COLLEGE OF ARTS AND SCIENCES Undergraduate Bulletin of Information 2001-2002PAUL K. WAYLAND, Professor, Ph.D., 1979,Louisiana State University.COURSES OF INSTRUCTIONDEPARTMENT OF MATHEMATICSUNDERGRADUATE COURSESMATH 3000. FINITE MATHEMATICS. Threecredit hours. Three hours of lecture per week.Prerequisite: MATH 3171 or MATH 3173.Counting techniques, probability, matrix algebra,linear programming, and systems of linearequations.MATH 3005. PRE-CALCULUS. Five credithours. Five hours of lecture per week.A preparatory course for calculus includingtopics in relations, functions, complex numbers,linear algebra, trigonometry and analyticgeometry.MATH 3020. INTRODUCTION TO THEFOUNDATIONS OF MATHEMATICS. Threecredit hours. Three hours of lecture per week.Prerequisite: MATH 3031 or MATH 3183 orMATH 3144 or Consent of the Director of theDepartment.An introductory course in set theory and logic.Topics include the propositional calculus and setalgebra, finite and infinite sets, well-ordered sets,transfinite arithmetic, Peano's axioms, anddevelopment of the real number system.MATH 3021. CALCULUS FOR BIOLOGICALSCIENCES I. Three credit hour. Three hoursof lecture per week. Prerequisite: MATH 3172.A basic course in differential and integralcalculus of one real variable with applications.MATH 3022. CALCULUS FOR BIOLOGICALSCIENCES II. Three credit hour. Three hoursof lecture per week. Prerequisite: MATH 3021.Integration techniques, topics in probability,functions of several variables, introduction todifferential equations, and applications.MATH 3030. INTRODUCTION TOGEOMETRY. Three credit hours. Three hoursof lecture per week. Prerequisite: MATH 3032 orMATH 3184.Brief review of Euclidean geometry, geometricconstructions, similarity of figures, geometry ofthe triangle and of the circle, foundations ofaxiomatic geometry, and elements of non-Euclidean geometry.MATH 3031. CALCULUS I. Four credit hours.Four hours of lecture per week. Prerequisite:MATH 3005 or MATH 3143 or MATH 3172 orMATH 3174.Elementary differential and integral calculus ofone real variable with applications.MATH 3032. CALCULUS II. Four credithours. Four hours of lecture per week.Prerequisite: MATH 3031 or MATH 3183 orMATH 3144.Integration techniques, infinite series, vectors,polar coordinates, vector functions, and quadricsurfaces; applications.MATH 3040. THEORY OF NUMBERS. Threecredit hours. Three hours of lecture per week.Prerequisite: MATH 3032 or MATH 3184.Divisibility, number systems, Euclid's algorithm,factorization, the distribution of primes, perfectnumbers and related topics, Euler's function,indeterminate problems, diophantine problemsand congruences.MATH 3048. MATHEMATICAL ANALYSIS.Four credit hours. Four hours of lecture perweek. Prerequisite: MATH 3032 or MATH3184. Co-requisite: MATH 3010 or COMP3010 or GEEG 3016.Theory and application of functions of severalvariables, vector calculus, first order differentialequations, linear differential equations, theLaplace transform and numerical methods forsolving or approximating solutions of differentialequations.MATH 3049. MATHEMATICAL ANALYSISFOR MANAGEMENT SCIENCES. Threecredit hours. Three hours of lecture per week.Prerequisite: MATH 3000 or MATH 3172 orMATH 3174.179
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