BuiltByNOF
Murray Eisenberg's Vitae

Current Position

Professor Emeritus
Department of Mathematics and Statistics
710 North Pleasant Street
Lederle Graduate Research Center
University of Massachusetts
Amherst, MA 01003-9305

murray <at> math <dot> umass <dot>edu

Personal Data

Birthdate: May 23, 1939

Formal Education

1956

The Central High School, Philadelphia

B. A.

1960

University of Pennsylvania

B. A.

Mathematics

1962

University of Pennsylvania

M. A.

Mathematics

1965

Wesleyan University

Ph. D.

Mathematics

Topological dynamics

Professional Experience

2012–

University of Massachusetts

Professor Emeritus

1981–2011

University of Massachusetts

Professor

1970–81

University of Massachusetts

Associate Professor

1974 (Spring)

University of Warwick Mathematics Institute

Visiting Scholar

1972–73

University of Massachusetts

Acting Department Head

1971 (Spring)

University of Massachusetts

Associate Department Head

1965–70

University of Massachusetts

Assistant Professor

Interests

Topology of dynamical systems
Use of computers in teaching college mathematics
Mathematica
J and APL programming languages

Grants

2001–03

Co-Project Director, NSF Course, Curriculum, and Laboratory

Improvement Grant, Guided Discovery and Intelligent

Tutoring Materials for Calculus and their Electronic Delivery

on the World Wide Web.  Project Director, Jan.–Dec., 2003

1993–96

Co-Project Director, NSF Instructional Laboratory Improvement

Grant, A Computer Laboratory to Teach Calculus to a Large

Number of Students

1989–91

Educational software grants, STSC, Inc.

1981–84

Project Director, NSF Local Course Improvement Grant,

Materials for Teaching Linear Algebra through APL

1979–82

Project Director, NSF Instructional Scientific Equipment

Program Grant, Terminal Equipment for Demonstrations and

Instruction in Undergraduate Mathematics

1966–71

Faculty Associate, NSF Research Grants, Topological

Transformation Groups, Topological Dynamics, and Infinite

Dimensional Manifolds

Publications

Books

The Mathematical Method: A Transition to Advanced Mathematics, Prentice Hall, Upper Saddle River, New Jersey, 1996, xvi + 350.

Topology, Holt, Rinehart and Winston, New York, 1974, xvi + 427.

Axiomatic Theory of Sets and Classes, Holt, Rinehart and Winston, New York, 1970, xv+ 336.

Articles

Evaluation of a Stochastic Inactivation Model for Heat-Activated Spores of Bacillus spp., Appl. Environ. Microbiol., 76, no. 13 (July 2010), 4402–4412 (with Maria G. Corradini, Mark D. Normand, and Micha Peleg).

Visualizing complex functions with the Presentations application, The Mathematica Journal, 11, no. 2 (2009), 226–252 (with David J. M. Park, Jr.).

Beyond elementary calculus with Mathematica 6, Mathematica in Education and Research, 12, no. 3 (2007), 185–191.

Visualizing complex functions with the Cardano3 application, in eProccedings of the 8th International Mathematica Symposium, Yves Papegay, editor, INRIA, 2006, 15 pp. (with David J. M. Park, Jr.).

Hero's method: an introduction to Mathematica programming, in Challenging the Boundaries of Symbolic Computation: Proceedings of the 5th International Mathematica Symposium, Peter Mitic, Philip Ramsden, and Janet Carne, editors, Imperial College Press, London, 2003, 263–270.

Active learning in sophomore mathematics: a cautionary tale, Journal of Mathematics and Science: Collaborative Explorations, 4, no. 1 (2001), 143–164.

Hill ciphers: a linear algebra project with Mathematica, in Proceedings of the Twelfth Annual International Conference on Technology in CollegiateMathematics, Gail Goodell, editor, Addison-Wesley, Boston, Mass., 2001, 100–104.

Confessions of two APL educators learning J, APL93 Conference Proceedings (Toronto, August 15–19, 1993), APL Quote Quad, 24 (1993), 78–87 (with H. A. Peelle).

Learning and teaching linear algebra with APL, Proceedings APL*PLUS Users Conference (Palo Alto, 8–9 August 1991), STSC, Inc., Rockville, MD, 1991, 125–135.

A survey of APL thinking, APL Quote Quad, 21 (1990), 5–8 (with H. A. Peelle).

Using the programming language APL in linear algebra, Spring Conference on the First Two Years: Teaching the Mathematical Core (March 31–April 1, 1989, Univ. of Hartford), Univ. of Hartford, 1989, 56–71.

APL problem-solving: a tutorial, APL Techniques and Applications: Session Tutorials, APL89, ACM, 1989, 1–30 (with H. A. Peelle).

Is the unified keyboard better?, APL Quote Quad, 18 (1988), 13–14.

APL thinking: examples, APL Conference Proceedings (Dallas, Texas, May 10–14, 1987), APL Quote Quad, 17 (1987), 433–440 (with H. A. Peelle).

APL teaching bugs, APL85 Conference Proceedings (Seattle, Wash., May 12–15, 1985), APL Quote Quad, 15 (1985), 86–93 (with H. A. Peelle); reprinted in APL-CAM Journal, 8 (1986), 75–88.

Least squares curve fitting viewed geometrically: an application of linear algebra with APL, in APL as a Tool of Thought III Conference Proceedings, NY/SIGAPL-ACM, 1985, 92–98.

APL in linear algebra, in APL as a Tool of Thought II Conference Proceedings, NY/SIGAPL-ACM, New York, 1984, VII.1–9.

APL learning bugs, APL83 Conference Proceedings (Washington, D. C., April 10–13, 1983), APL Quote Quad, 13 (1983), 11–16 (with H. A. Peelle); reprinted in APL-CAM Journal, 6 (1984), 58–67.

Zero divided by zero: zero or one—or neither?, APL Quote Quad, 11 (1981), 9–10.

A proof of the hairy ball theorem, Amer. Math. Monthly, 86, (1979) 571–574 (with Robert Guy).

A theorem on extensions of minimal sets, in Global Differentiable Dynamics (Proc. Conference, Case Western Reserve Univ., 1969), Lecture Notes in Math., 235, Springer-Verlag, New York, 1971, 61–64.

Expansive automorphisms of Banach spaces, Pacific J. Math., 34 (1970), 647–656 (with James H. Hedlund).

Embedding a transformation group in an automorphism group, Proc. Amer. Math. Soc., 23 (1969), 276–281.

Maximally almost periodic and universal equicontinuous minimal sets, Mich. Math. J., 14 (1967), 101–105.

A note on positively expansive endomorphisms, Math. Scand., 19 (1966), 217–218.

Expansive transformation semigroups of endomorphisms, Fund. Math., 59 (1966), 313–321.

Expansive automorphisms of finite-dimensional vector spaces, Fund. Math., 59 (1966), 307–312.

A theorem on Riemann integration, J. London Math. Soc., 37 (1962), 285–286 (with R. Cantor and E. M. Mandelbaum).

Software

Dynamic Germination of Seeds and Microbial Spores, Wolfram Demonstrations Project, http://demonstrations.wolfram.com/DynamicGerminationOfSeedsAndMicrobialSpores, 2013 (with Mark D. Normand and Micha Peleg).

Choosing Initial Parameter Values for Nonlinear Regression, Wolfram Demonstrations Project, http://demonstrations.wolfram.com/ChoosingInitialParameterValuesForNonlinearRegression/, 2012 (with Mark D. Normand and Micha Peleg).

Idealized Conventional and Pressure-Assisted Thermal Preservation Processes, Wolfram Demonstrations Project, http://demonstrations.wolfram.com/IdealizedConventionalAndPressureAssistedThermalPreservationP/, 2011 (with Mark D. Normand and Micha Peleg).

On-line teaching materials

This category includes various unrefereed MATHEMATICA notebooks and other materials published on-line at the following URLs and with Murray Eisenberg identified as author:

http://www.math.umass.edu/~murray/Math_135/Files/

http://www.math.umass.edu/~murray/Math_136/Files/

http://www.math.umass.edu/~murray/Math_236/Files/

http://blogs.umass.edu/math331-murray/demos/

http://blogs.umass.edu/math421-murray/files/

http://www.math.umass.edu/~murray/Math_455_Eisenberg/Files/

http://www.math.umass.edu/~murray/

Miscellaneous

Mathematica notebook:  Conformal mapping: solving the Laplace equation on a lens shaped region, http://www.st-andrews.ac.uk/~pl10/c/djmpark/Assets/8EB7C389/ConformalMapping.nb, November 2012 (with David Park).

Book review: C. Reiter and W. Jones,APL with a Mathematical Accent; review in APL News, 23, no. 1 (1991), 4–6 (with H. A. Peelle).

Letter, Computer Language, 8, no. 3 (1991), 11.

Course notes: APL for Linear Algebra, Math./Stat. Dept., Univ. of Mass., Amherst, 1986, 217 pp.

Book review: L. Gilman and A. J. Rose, APL: An Interactive Approach, 3rd ed.; review in APL Quote Quad, 14 (1984), 17.

Mimeograph notes: Guide to Using FORTRAN 5, Math./Stat. Dept., Univ. of Mass., Amherst, 1980, 21 pp.

Monograph review: I. U. Bronstěĭn, Extensions of minimal transformationgroups (Russian); review in Math. Reviews, 56 (1978), 1746–1747.

Abstract: Expansiveness of T-algebras, preliminary report Notices Amer. Math. Soc., 16 (1969), 848.

Review: D. V. Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature (Russian); review in Math. Reviews, 36 (1968), 1373–1374.

Abstract: Expansive automorphisms of Banach spaces--preliminary report, Notices Amer. Math. Soc., 14 (1967), 667.

Abstract: On certain universal minimal transformation groups--preliminary report, Notices Amer. Math. Soc., 13 (1966), 711.

Abstract: Positively expansive endomorphisms of compact groups, Notices Amer. Math. Soc., 13 (1966), 333.

Reviews of some 75 papers in Math. Reviews and Zentralblatt für Math., 1967–1984.

Presentations

2006

Selected paper, 8th International Mathematica Syposium, Avignon,
Visualizing complex functions with the Cardano3 application (with David J.M. Park, Jr.)

2005

Selected paper, Wolfram Technology Conference, Champaign, IL,
Embedding Mathematica in a web-based learning system (wth Stephen Battisti).  Eisenberg, presenter.  Abstract accepted.

2004

Selected paper, MathFest 2004 (Math. Assoc. Amer.), Providence, RI,
Special Session on Uses of the WWW that Enrich and Promote Learning,
The OWL system with webMathematica in applied calculus (with David M. Hart, Alan R. Peterfreund, and  Kenneth A. Rath).  Eisenberg, presenter.

2003

Selected paper, 5th International Mathematica Symposium, Imperial College,

 

Heros method: an introduction to Mathematica programming

2000

Contributed paper, Pathways to Change: A Research Conference

 

on Science and Mathematics Teaching and Learning, The Science,

 

Technology, Engineering, and Mathematics Teacher Education

 

Collaborative, Hampshire College, Reforming Sophomore Math:

 

What Worked, What Didn't, and Why

2000

Invited paper, Special Session on Teaching Mathematics in the

 

New Millennium, Amer. Math. Society Regional Meeting, Univ. of

 

Mass./Lowell, Mathematical Software: Making Math Harder?

2000

Invited presentation, North East Regional Computing Program

 

(NERCOMP), Instructional Special Interest Group,Mathematica

 

for New Users: The Second Day

2000

Contributed paper, Twelfth Annual International Conference on

 

Technology in Collegiate Mathematics, San Francisco, Hill Ciphers:

 

A Linear Algebra Project with Mathematica

1999

Invited paper, Northeastern Section, Math. Assoc. of Amer.,

 

Colby College, Active Learning: High-tech and Low, In-class

 

and Out

1998

Workshop, Amherst College, Introduction to Mathematica

1998

Workshop, Science, Technology, Engineering, and Mathematics

 

Education Collaborative, Univ. of Mass./Amherst,Mathematica

1998

Selected paper, Worldwide Mathematica Conference 1998, Chicago,

 

My Favorite MathematicaProjects for Teaching Linear Algebra

1997

Selected paper, APL97 Conference (Toronto), J vs. Mathematica

1997

Invited presentation, Pioneer Valley PC Users Group, Amherst,

 

MA, Teaching Mathematics with Computer

1995

Panellist, International Conference on APL, San Antonio,

 

Improving J

1993

Contributed paper, APL93 (Toronto), Confessions of Two

 

APL Educators Learning J

1992

Contributed paper, Conference on Computing in Calculus

 

(Rensselaer Polytechnic Institute), Calculus with

 

Computing: Some Tips and Traps

1991

Invited paper, STSC APL*PLUS Users Conference

 

(Palo Alto), Learning and Teaching Linear Algebra

 

with APL

1989

Contributed paper, Spring Conference on the First Two Years

 

(Univ. of Hartford), Using the Programming Language APL

 

in linear algebra

1989

Co-leader, Workshop on APL problem-solving, APL89 conference,

New York

1987

Co-leader, Workshop on APL thinking, APL87 conference, Dallas

1987

Contributed paper, APL87 (Dallas), APL Thinking: Examples

(with H. A. Peelle)

1986

Invited lecture, New England APL Users Group (Cambridge,

Mass.), Thinking about APL Thinking (with H. A. Peelle)

1985

Contributed paper, APL85 (Seattle), APL Teaching Bugs

1985

Leader of workshop on linear algebra and APL,

NY/SIGAPL-ACM Professional Development Seminar

1985

Panellist, Math. Assoc. of Amer., Anaheim,

Computers in Upper-level Courses

1984

Leader of workshop on linear algebra and APL,

NY/SIGAPL-ACM Professional Development Seminar

1984-88

Program chairman, Pioneer Valley PC Users Group

1983

Contributed paper, APL83 (Washington, D. C.),

APL Learning Bugs (with H. A. Peelle)

1982

Contributed paper, session on Use of Computers in Under-

graduate Math., Math. Assoc. of Amer., Toronto, Learning

Linear Algebra through APL

1982

Contributed paper, Society of College Science Teachers,

Chicago, Learning Mathematical and Statistical Concepts

through A Programming Language

1980

Invited address, Conference for University Mathematics Faculty,

Univ. of Maine, Orono, Use of Computers in Undergraduate

Mathematics Courses

Dissertation and Thesis Committees

1990–91

Member, Senior Honors Thesis committee

1970–89

Member, Ph. D. dissertation committees (5 within department,

2 outside department)

1969–72

Ph. D. dissertation supervisor, Mark D. Wochele, Flows on

Unicoherent Spaces

1968–69

Senior Honors Thesis supervisor

Departmental and University Service

2003

Calculus restructuring committee

2002

Faculty Senate Executive Advisory Committee

 

(ex officio as Senate committee chair)

2001-

University Computer and Electronic Communications

 

Committee (chair: 2001–02)

2001–02

Provost's Instructional Technology Council

2001–02

University Teaching, Learning and Instructional Technology

 

Council

1999–00

NSF/STEMTEC Teaching Scholar Mentor

1999–00

Departmental Undergraduate Program Review Committee

1997–00

University Faculty Senate (also 1966-69, 1990-93)

1990–93

University General Education Council

1988–89

Academic Computing Services Task Force

1984–87

College of Arts and Sciences Curriculum Committee

1980–86

University Computer Committee

 

(chair: 1981-83, 1985-86)

1978–

In charge of Mathematics and Statistics Departments

 

undergraduate computer facilities

1978–81

University Space and Calendar Committee (chair: 1980–81)

1976–77

Honors preceptor

1974–76,
2004–06

Departmental Personnel Committee
(chair: 1975–76)

1972 (Fall)

FNSM Personnel Policy Committee

1971

Teaching advisor for TAs (sporadic)

1969–06

Departmental Undergraduate Curriculum Committee

 

(1969–72, 1974–75, 1977–81, 1988–93, 2002–2006; chair: 1970–71)

1969–

Member or chair, graduate examining committees (sporadic)

1970

Moderator, Departmental Council

1969–70

Departmental Planning Committee

1966–69

University Library Committee

1966–76

Departmental Library Committee (1966-69, 1974–75)

1965–

an undergraduate mathematics major advisor

 

 

Miscellaneous Activities

1999

Review panel, NSF Course, Curriculum and Laboratory

Improvement Program, Arlington, VA

1998–00

Participant, Faculty workshop series of The Science,

Technology, Engineering and Mathematics Education

Collaborative, Univ. of Mass./Amherst

1995–99

Software beta testing, Personal TeX, Inc. (consulting)

1993–95

Reviewer, Yankee Ingenuity Initiative, Connecticut Department

of Higher Education (consulting)

1994

Staff, Workshop on Calculus in a Real and Complex World,

Univ. of Mass.

1984–89

Program chair, Pioneer Valley PC Users Group

1983–92

Reviewer of submitted papers, APL84 and APL92 conferences

1980–81

Selected participant, NSF Chautauqua-type Short Course,

Computers as an Aid in Learning Science

1981

Planning conference participant and member, interim steering

committee, Consortium for Computer-based Education in

Mathematics, Univ. of Delaware

1971–

Publishers reviewer for undergraduate math textbook

manuscripts (consulting)

1970–72

Research proposal reviewer, National Science Foundation

1966–

Referee, Amer. Math. Monthly, Math. Systems Theory, Duke

Math. J., Proc. Amer. Math. Soc., J. Australian Math. Soc.,

Bull. Inst. Math. Acad. Sinica, Pacific J. Math., Canadian

Math. Bull., College Math. J., APL Quote Quad, COMAP

Memberships

American Mathematical Society
Mathematical Association of America
Sigma Xi
Phi Beta Kappa

Courses Taught

Mathematics in the Modern World
Math Talent Affinity Program Seminar
Calculus I–II (for engineering, science, and math majors)
Non-standard calculus (with infinitesimals)
Calculus for Life and Social Sciences
Calculus with Computer I–II
Multivariate Calculus
Multivariable Calculus, Linear Algebra, and Ordinary Differential Equations with Computer I-II
Statistics for Business
Linear Algebra with Computer Programming
Honors Linear Algebra
Vector Analysis
Ordinary Differential Equations for Scientists and Engineers
Ordinary Differential Equations for Scientists and Engineers with Computer
Discrete Structures
Fundamental Concepts of Mathematics (for math majors)
Special Topics: Visualization of fractals, chaos and iteration
Introductory Modern Analysis
Introduction to Modern Algebra I–II
Set Theory
Topics in Ordinary Differential Equations
Complex Analysis
Numerical Analysis I–II
Applied Analysis I–II
Topology (undergraduate)
Seminar on APL Thinking (CompSci, undergrad./graduate, jointly taught)
Number Theory
Introduction to Theory of Statistics I–II
Probability
Topology I–II (graduate)
Algebraic Methods in Topology (graduate)
Topological Dynamics (graduate)
Advanced Applied Mathematics: Mathematical Systems Theory (graduate)
Current Research in Differential Topology (graduate)

8 December 2012
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