NEWSLETTER
DEPARTMENT 01- MATHEMATICS ST JOHN'S UNIVERSITY
JAMAICA. NEW YORK 11432
Vol. VI, No. 1 March, 1972
The NEWSLETTER is published by the Department of
Mathematics for the information of staff members and
students, as a vehicle for the exchange of ideas and in formation
of particular interest to the department.
NEWSLETTER
DEPARTMl:NT Of- MATHEMATICS ST JOHN'S UNIVl:RSITY
JAMAICA. NEW YORK 1143:!
Vol. VI, No. 1
Editorial Board:
John Tucciarone
Anthony Sarno
Vincent Mancuso
Mary O'Shea
March, 1972
TABLE OF CONTENTS
Colloquia . . . .. . 1
Research Publications 3
NSF Computer Capability Grant 4
Graduate Program . . . 5
Undergraduate Program 7
Pilot Course in Calculus 9
Pi Mu Epsilon 10
Faculty Notes 11
ST. JOHN'S .MATHEMATICS DEPARTMENT
COLLOQUIA - 1971-1972
FALL
Dr. Donald McCarthy of St. John's University
A Survey of Partial Converses to Lagrange's Theorem
on Finite Groups October 14
Dr. Salvatore Anastasio of SUNY at New Paltz
W-* Algebras: An Introduction and a Survey of
Recent Results November 4
Dr. Julian Gevirtz of New York University & Pace College
Some Classical Topics in Convexity December 2
Dr. Jerome Lurye of St. John's University
The Interaction of a Viscous Wake with a Free Surface
December 16
SPRING
Dr. Donald McCarthy of St. John's University
An Introduction to Graph Theory and Applications
February 3
Dr. Jonathon L. Gross of Columbia University & Princeton
The Imbedding of Graphs in Surfaces February 17
Dr. Jonathon L. Gross
The Imbedding of Surfaces in 3-manifolds
March 2
Dr. Maurice Machover of St. John's University
Partial Differential Equations Without Solutions:
An Introduction and a Conjecture
March 16
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Dr. Michael I. Aissen of Rutgers University
A Pattern for Completion April 13
The Colloquia are generally held on Thursdays, at
3 P.M. in St. John Hall at the Jamaica Campus. For
information on future topics and speakers, contact Dr.
Donald McCarthy, the Director of the program, at
212-969-8000.
2
.,
RESEARCH PUBLICATIONS
The following is a partial listing of the various
publications completed or in progress during the 1971-72
academic year:
Dr. Jon Cole - A paper "A Note on a Selector
Theorem in Banach Spaces," J ournaf of Optimization
Theory and Applications, Vol 9, No. 3, 1972,pp.214-215.
Dr. Jerome Lurye - A final report "Wave Height and .
Wave Resistance in the Presence of a Viscous Wake," to
the Naval Ship Research and Development Center, in
fulfillment of an $18,000. research contract with that
agency.
Dr. Donald McCarthy - A paper "A Survey of Partial
Converses to Lagrange's Theorem," Transactions of the
N.Y. Academy of Sciences, Series II, Vol. 33, June, 1971,
pp.586-594. A paper "Subgroups of the Power Semigroup
of a Group," to appear in 1973 in the Journal of
Combinatorial Theory, Series A.
Dr. Richard Morgan - A paper co-authored with S.N.
Karp of N.Y.U., "Surface Wave Incidence on a Plane
Structure Having a Multi-mode Discontinuity in Impedance,"
to appear in the Quarterly of Applied Mathematics.
Dr. Lawrence Narici - A book "Functional Analysis
and Valuation Theory," published in the Spring of 1971
by Marcel Dekker, N. Y.
Prof. Francis Siwiec - Two papers submitted to the
Rocky Mountain Journal of Mathematics: "A Survey of
non-1st Countability Concepts and Examples," and "Quotient
Mappings with Restricted Dorr.ain and Range." A
paper submitted to General Topology and its Applications:
"KM-Spaces and KM-Covering Mappings."
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NSF COMPUTER CAPABILITY GRANT
In 1970, Dr. Joseph Frechen was the recipient of a
two-year, $44,500. NSF grant to study academic computer
capabilities at SJU. During 1970-71, the first year of the
grant, Dr. Frechen was a resident with the System
Development Corporation in the Los Angeles area, a large
computer software organization. He also studied computer
facilities at UCLA, USC, Cal Tech and others. During this
time, Dr. Frechen observed and studied academic computer
activities in diverse areas, and also participated in
direct computer research.
During 1971-72, the second year of the grant, Dr.
Frechen is conducting a computer use seminar for a group
of faculty members from several departments at SJU.
These include: Biology, History, Library Science, Mathematics,
Modern Foreign Languages, Philosophy and Sociology.
Many of the problems with which the members of
this seminar are concerned are non-mathematical in nature.
For example, some of the capabilities being studied
include: concordance construction, textual analysis, indexing
of journal articles, information retrieval, authorship
tests, thematic dictionaries and foreign language exercises.
Some of the members are using mathematical techniques
in their computer-oriented research, namely, biological
data analysis, sociological data analysis and voter analysis.
During the Spring of 1972, the seminar will be
extended to include faculty from other departments. The
overall goal of the program is to strengthen the academic
computer capabilities at SJU.
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GRADUATE PROGRAM
During 1971, the Graduate School of Arts and
Sciences conferred 13 Master's Degrees in mathematics.
The June, 1971 graduates included: George Gillen,
Richard Greene, Hilary Huang, Joseph Lang, Dennis
Moscowitz, Vincent Russotti, and Robert Zieminski.
Those receiving degrees in September, 1971 included:
Michael Drinka, Joseph McDermott, James Mulloy, Takvor
Ozsan, Joanne Piampiano, and Patrick Socci. The figures
on M.A. recipients over the last few years show: 1969 -
10; 1970- 10; 1971 - 13.
The department has the services of 9 graduate assistants
during 1971-72, with all but 1 assisting as in-class
instructors for the Survey of Mathematics (Math 7-8)
course. This course is being taught on closed circuit
television by Dr. Jon Cole. Dr. Cole has designed a new
format for the course, and he is supervising the graduate
assistants' instructional assignments. The combination has
proven most successful. The graduate assistants have also
been conducting problem sessions for the freshman and
sophomore courses, and assisting the faculty of the
department.
Among the 6 new assistants are Carmela DeMarco and
Diana Ruscica, both undergraduates at SJU. As an undergraduate,
Carmela was enrolled in the Honors Program, the
Dean's List, and was a member of Who's Who Among
Students in American Colleges and Universities. Diana, also
a Dean's List and Honors Program student, was a member
of Pi Mu Epsilon. Wendy Barkas received her B.A. from
Queens College, graduating magna cum laude. She was a
member of Phi Beta Kappa and Kappa Delta Phi. TungChien
Wang received his B.S. from the National Taiwan
University. His home is Taipei, Republic of China. Bob
Higgins turned down an NSF fellowship and a Regents
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fellowship for studies in Oceanography to study mathematics
at SJU. A summa cum laude graduate of St. Francis
College, he also worked as an actuarial assistant at
Metropolitan Life Insurance Co. Jeanne Baccash received
her B.A. summa cum laude from University College of
SJU. She was a Dean's List student and a member of the
Honors Program. Jeanne is assisting in the mathematics
division of Notre Dame College, the new undergraduate
college of SJU in Staten Island.
Among the second year graduate assistants are Bob
Vincent, Ed Micca and Jerry Lucchesi. Bob plans to enter
medical school upon receiving his master's degree. Ed
Micca was an undergraduate at SJU and served in the
Armed Forces in Germany before continuing his studies at
SJU. Jerry was awarded an NSF fellowship during the past
summer. He will complete his master's degree in January.
Among the new offerings in mathematics on the
graduate level are Introduction to Combinatorics (Math
150), and Computer Analysis I & II (Math 165,166). Dr.
Machover, Coordinator of Advisement for the graduate
program, looks toward interdepartmental cooperation with
both the Physics and Philosophy Departments in the
future. Combined supervision of graduate students is one
feature that is being planned.
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UNDERGRADUATE PROGRAM
During the year 1971, SJU conferred a total of 64
baccalaureate degrees to students who majored in mathematics.
Of those, 35 were from St. John's College, 14 from
University College, and 15 from the School of Education.
The figures on the number of math graduates over the last
few years show: 1969- 62; 1970-63; 1971 - 64.
Dr. Miranda, the Chairman of the department, has
stated that the mathematics department should be aware
of the changing nature of society and how these changes
should be reflected in the curriculum. Through his
direction, the department is intent on fulfilling this goal.
During 1971, the offerings in the undergraduate and
graduate -curriculum will be enlarged in the social science
and computer areas.
Offered for the first time in the Fall, 1972, will be a
course designed for the liberal arts student, entitled
Computing for the Liberal Arts (Math 15 ). The course will
not admit math majors, but will attempt to show the
capabilities and limitations of computing in settings more
familiar to the non-math major. A new two-term course
entitled Mathematical Methods for Social Sciences (Math
62-63) will also be offered in the Fall. This course
will introduce the mathematical methods most frequently
used in the behavioral and social sciences, such as model
building, and decision theory. Current problems will be
selected from the literature of the behavioral sciences.
Commencing in the Fall, 1972, the computer will
become a more integral part of the course of study of each
mathematics student. In addition to the regular curriculum,
freshmen and sophomores will be exposed to
programming on the elementary and advanced levels in all
their courses. Moreover, a revised Computer Analysis
(Math 89) course is to be offered in the Fall. It will treat
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topics in data structures, linear and multi-lists, trees,
traversing algorithms, sorting techniques and storage management.
A new course, entitled Computer Applications
(Math 90) will also be added. It will treat random number
generation, simulation, heuristic programming, artificial
intelligence and pattern recognition.
At the Dean's Convocation in the Spring of 1971, the
following undergraduates were honored:
ST. JOHN'S COLLEGE
Gold Key in Mathematics (senior) ...... . . Patricia Greve
Silver Key Uunior) .......... .. . .... Gordon Feathers
Other nominees for the Gold Key were Donna Hanlon and
Patricia Ludwig, and for the Silver Key, Alina Espada and
Elena Salgado.
UNIVERSITY COLLEGE
Gold Key in Mathematics (senior) ....... Jeanne Baccash
Silver Key Uunior) ........ . .... .. .. Aldina Lorenzoni
Other nominees for the Gold Key were Mary Calabro and
Julia Murphy, and for the Silver Key, Julia Carlucci and
Lily Wong.
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PILOT COURSE IN CALCULUS
In September, 1971, a new course was introduced for
those students who did outstanding work in University
Mathematics I and II, the freshman calculus course for
math majors. Normally, these students would take University
Mathematics III and IV during their sophomore year,
and Advanced Calculus (Math 77-78) during their junior
year. Instead, the new course was designed to reduce the
time factor in the completion of the total calculus
sequence.
Experience with outstanding students in the past had
indicated a need for rapid advancement. The purpose of
the new course is to enable these students to progress more
rapidly toward other mathematics electives or lower level
graduate courses. It was felt that students from this group
would more likely pursue advanced study toward masters
and doctoral degrees.
Prof. John Chiaramonte was selected to give the new
course with the understanding that much of the semester
would be devoted to independent study. While 6 hours of
regular class lectures are given by the instructor each week,
the students are encouraged to work on their own through
individual conferences with the instructor, assigned projects,
etc. The content of the full year course will include
topics traditionally treated in intermediate calculus, linear
algebra, and advanced calculus.
The department feels that a select group of math
majors such as this should be developed early, so that by
the junior year, these students will have a solid foundation
in theory, and experience in independent study. The
success of the pilot course will be measured by the quality
of the work the students will do during their junior and
senior years.
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Pl MU EPSILON
The SJU Chapter of Pi Mu Epsilon inducted 14 new
members into the national mathematics fraternity at a
special meeting in May, 1971. Fallowing a presentation on
Vector Analysis by Dr. Miranda, the induction ceremonies
proceeded. The new members include: Jack Barocas,
Joanne Canco, Marianne DeRosa, Alina Espada, Vivian
Fede, Frances LaMalfa, Barbara Marga, Eloise Merlino,
Susan Murphy, Diane O'Neil, Evelyn Preiss, Linda Stavola,
Rochelle Verola, Linda Wolfe.
The officers for 1971-72 are Gordon Feathers, President,
and Elena Salgado, Secretary. In keeping with its
aims of promoting excellence in mathematics, the SJU
Chapter of Pi Mu Epsilon plans a series of meetings
throughout the year, with invited speakers from among the
faculty and student body. Dr. Tucciarone spoke on the
summation of divergent series at the December meeting,
and meetings are scheduled for February, March and April.
Further information concerning future meetings may
be had by contacting Gordon Feathers, c/o Mathematics
Department at SJU.
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FACULTY NOTES
Dr. Theresa Barz - was recently re-elected as Secretary
of the SJU Chapter of the AAUP. She is the Secretary of
the Greater Metropolitan New York Math Fair for 1972.
Dr. Barz is preparing notes for a Geometry text.
Dr. Willie Callahan - delivered a paper on Vibrations
before the 7th International Congress on Acoustics in
Budapest, Hungary, during July, 1971. He delivered a
paper in the same field at the AMS meeting in Las Vegas,
Nevada, in January, 1972.
Dr. Michael Capobianco - resigned his chairmanship of
the Mathematics Department to accept the position of
Director of the Natural Sciences Division of the new
undergraduate unit of SJU, Notre Dame College, in Staten
Island.
Dr. Walter Cassidy - was honored by members of the
Mathematics Department at a special dinner in June, 1971.
Dr. Cassidy retired from service at SJU after a long and
distinguished tenure as Professor of Mathematics.
Prof. John Chiaramonte - is serving as a member of
the Greater Metropolitan New York Math Fair Committee.
Dr. Leon Gerber - joined the teaching staff at the
Jamaica Campus when SJU terminated the University
College at the Brooklyn Center. Dr. Gerber taught at the
Brooklyn Center for 6 years. He is currently teaching
analysis and computer programming.
Dr. Anne Hughes - received her doctoral degree from
Yeshiva University in January, 1972. Her research was in
the field of functions of several complex variables, and her
dissertation, written under A. Koranyi, was titled "Boundary
Limits of HP -Classes of Holomorphic Functions in
Tube Domains."
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Dr. Rora Iacobacci - transferred to the Jamaica
Campus from the Brooklyn Center of SJU, where she had
taught for 7 years. Dr. Iacobacci acted as a departmental
representative at the Brooklyn Center, where she counseled
undergraduate math majors. She is currently teaching
courses in analysis.
Dr. Jerome Lurye - served as a finalist judge in the
1971 Nassau-Suffolk Math Fair. In September, 1971, Dr.
Lurye presented a talk on the results of his research to the
Flow-Studies Panel of the Society of Naval Architects and
Marine Engineers. He is acting as Sponsor of the newlyformed
Math Club at SJU.
Dr. Maurice Machover - has prepared five short
articles for inclusion in the 1972 edition of Encyclopedia
Americana on Lattice Theory, Evolutes, Ellipsoids, Epicycloids
and Length. He attended the AMS summer meeting
at Penn State University. Dr. Machover delivered a seminar
address at Notre Dame University titled "On Equations
Without : Solution and Garabedian's Conjecture."
Dr. Vincent Mancuso - presented a talk at the AMS
meeting in Las Vegas, Nevada, in January, 1972, entitled
"Inverse Images and 1st Countability."
Dr. Donald McCarthy - was a Visiting Research
Member at the Advanced Science Seminar on Combinatorial
Mathematics held at Bowdoin College during · the
summer of 1971. He also participated in the International
Conference on Combinatorial Group Theory held in
November, 1971, at York University, Toronto, Canada. Dr.
McCarthy addressed the seminar in Group Theory at
N.Y.U. in January, 1972, on "Automorphism Groups of
Finite Graphs." He also served as a judge for the Greater
Metropolitan New York Math Fair.
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Dr. Edward Miranda - was elected by members of the
Mathematics Department to serve as Chairman for the
unexpired term (1971-72) of Dr. Capobianco's office. Dr.
Miranda recently conducted 2 seminars for the Physics
Department at SJU on the Mathematics of Space.
Prof. Anthony Sarno - was elected President of the
Faculty Association at SJU for 1971-72. He and the
Association, together with representatives of the AAUP,
will represent the entire faculty in collective bargaining
negotiations with SJU. Prof. Sarno was re-elected to the
University Personnel Committee for 1971-72. He continues
to serve as Coordinator of Undergraduate Advisement
for the Mathematics Department.
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ST . JOHN'S UNIVERSITY
DEPARTMENT OF MATHEMATICS
JAMAICA. NEW YORK 11432