1. Name: David Green, Jr.
B.S. Mathematics Florida A & M 1965
M.S. Nuclear Engineering University of Missouri 1970
M.S. Mathematics Michigan State University 1972
Ph.D. Mathematics Michigan State University 1976
4. Years on this faculty: 27 years
Appointments: Assistant Professor of Mathematics 1977
Associate Professor of Mathematics 1981
AIM Director 1985
Professor of Mathematics 1986
Director of Mathematics 1988
Department Head 1993
5. Other related experience:
Sanford, Florida Public Schools 1965 Teacher H.S. Mathematics Suwannee River Jr. College 1965-66 Instructor Mathematics
Adel, Georgia Public Schools 1966-67 Teacher H.S. Mathematics
Michigan State University 1970-76 Teaching Assistant Mathematics
Michigan State University 1976-77 Instructor Mathematics
B. Industrial:
Ellis Fischel Cancer Center Summer 1967 Computer Programmer
Argonne National Laboratory Summer 1968 Nuclear Engineer
American Nuclear Society
Mathematical Association of America
National Association of Mathematics
7. Publications:
Green, D., "An Investigation of Hipman's Equation of the State to Predict the Properties of Liquid Sodium as a
Reactor Coolant," classified research, Argonne National Labs, 1968.
Green, D., "Comparison of Experimental and Theoretical Cross Section Sets," Argonne National Labs, ANL report,
1968.
Green, D., "The Characteristic Response of a Gaseous Cerenkov Radiation Detector," Master's thesis, University of
Missouri, 1970.
Green, D., "Hopfs Bifurcation for Non-Linear Functional Differential Equations," Ph.D. thesis, Michigan State
University, 1976.
Green, D., "Self Oscillations for Epidemic Models," research article, Math. Biosci., 38, pp. 1-112, 1978.
Green, D., and Stech, H. W., "Asymptotic Behavior of a Delay-Diffusion Model," technical report, GMI, 1981.
Green, D., and Stech, H. W. , "Diffusion and Heredity Effects in a Class of Population Models," research article,
Academic Press, 1981.
Green, D., and White, R. G., "On Multi-Parameter Bifurcation in Diffusion Models," research article, J. Math Anal. &
App. Partial Differential, 1981.
Green, D., and Chow, S. N., "Some Results on Singular Delay-Differential Equations," Marcel Dekker, Inc., 1984.
Green, D., "A Global Boundedness Result for a Delay-Diffusion Model," technical report, GMI, 1984.
Green, D., "Some Basic Ideas for Success in Calculus," GMI, 1985-86.
Green, D., "Summability Properties for the Hoppensteadt-Waltman Epidemic Model," technical report, GMI, 1985.
Green, D., "Mathematical Theories of War," The Lanchester Model Proceedings of National Mathematics Intelligence
Symposium, 1985.
Green, D., "Global Boundedness Result on a Singular-Delay and Equations," technical report, GMI, 1989.
Alavi, Y., Green, D., Liu, J., and Wang, J., "On Linear Vertex-Arboricity of Graphs," Congressus Numerantium, 82,
pp. 187-192, 1991.
Chan, W., and Green, D., "Stability and Bifurcation in Delay Diffusion Models," Differential Equations and Dynamical
Systems, Vol. 1, No. 1, pp. 87-100, 1993.
Dimitrov, B., Chukova, S., and Green, D., "Probability Distributions in Periodic Random Environment and Its
Applications," ASA 1993 Proceedings of the Section on Quality and Productivity, pp. 251-256, 1994.
Green, D. and Jiang, K., "A Threshold Theorem for an Infectious Disease Model in a Closed System of Isolated and
Non-Isolated Injectives," in progress, 1995
Dimitrov,B and Green,D “Stochastic Optimization Problems in Reliability,queuing and RelatedFields, under Incomplete Information”, Polish Academy of science.1996.
Dimitrov,B,and Green, D.,Stochastic Optimization Problems Under Incomplete Information,Control and Cybernetics,vol.26,1997.
Green, D. and Dimitrov, B., "On Some Stochastic Optimization Problems Under Incomplete Information," Control and
Cybernetics, accepted for Vol. 1, 1997, Polish Academy of Science, Warszawa, Poland.
Han, M., Jiang, K., and Green, D., "Bifurcations of Periodic Orbits, Subharmonic Solutions, and Invariant Ion of High Dimensional Systems," Nonlinear Analysis, 36, pp. 319-329, 1999.
On Statistical Hypothesis Testing Via Simulation Metood, Dimitrov,B,Green,D,Rykov,R,Stanchev, International Journal”Information Theories & Applications, v10,2003.Stanchev,P,Green,D,&Dimitrov,B,High Level Similarity Retrieval,International Journal “Information Theories & Applications, v10,2003.
Dimitrov,B, Green,D,hukavo,S,Khalil,Z, Age affecting Repairs and Warranty Costs, LAD Conference, St Petersburg, Russia, 2004
Stanchev,P,Green,D and Dimitrov,D, MPEG-7:The Multimedia Content Description Interface,29th Interrnational Conference, Information And Communication Technologies and Programming, Varna, Bulgaria, June 2004.
"A General Discussion on Modeling In Epidermiology," Atlanta University, Atlanta, Georgia, 1976
"Hopf's Bifurcation for FDE's," Pittsburgh University, Pittsburgh, Pennsylvania, 1976
"Periodic solution of FDE's with Applications to Epidemic Models," AMS, St. Louis, Missouri, 1977
"An Analysis of Some Infectious Disease Models," Florida A& M University, Tallahassee, Florida, 1978
8. Publication/Presentations, continued :
"A Model for Isolated and Non-Isolated Infections," Calvin College, Grand Rapids, Michigan, 1978
"Periodic Solution of FDE's with Applications to Epidemic Models, Western Michigan University, Kalamazoo,
Michigan, 1979
"Periodic Solution of FDE's with Applications to Epidemic Models," GMI/UM-Flint Seminar, Flint, Michigan, 1979
"A Discussion about GMI," Region II School District, Detroit, Michigan, 1979
"Asymptotic Behavior of a Delay-Diffusion Model," with H. W. Stech, Mathematics Society, San Francisco,
California, 1981
"Asymptotic Behavior of a Delay-Diffusion Model," with H. W. Stech, Differential Research Conference, Claremont,
California, 1981
"GMI A New Beginning," National Career Conference, Florida, 1983
AIM Presentation, National Career Conference, Tampa, Florida, 1985
"Some Ways to Improve Mathematics for High School Students," Chicago Board of Education, Chicago, Illinois, 1985
"Mathematical Theories of War, Lanchester's Model, The National Intelligence Mathematics and Multiprocessing
"Kick-Off" Meeting, New York, New York, 1985
"Some Recent Results of a Two-Dimensional Diffusion Delay PDE," SIAM Meeting, Orlando, Florida, 1990
"A Discussion on Recent Results of a Model of Ken Cooke Mathematics Department," Duluth, Minnesota, 1992
9. Professional Development:
Society Meetings Attended:
American Mathematical Society San Antonio, Texas 1976
Differential Equations Conference University of Maryland, Baltimore, Maryland 1976
Differential Equations Conference Brown University, Rhode Island 1976
American Mathematical Society St. Louis, Missouri 1977
American Mathematical Society Atlanta, Georgia 1978 American Mathematical Society Gulfport, Mississippi 1979
American Mathematical Society San Antonio, Texas 1980
American Mathematical Society San Francisco, California 1981
Pomona/Harvey Mudd College Research Claremont, California 1981
Conference: Modeling in Epidemiology
Integral Equations Conference Virginia Polytechnic Institute an State University, 1981
Blacksburg, Virginia
American Mathematical Society Michigan State University, East Lansing, Michigan 1982
Midwest Differential Equations Meeting Michigan State University, East Lansing, Michigan 1982
American Mathematical Society Denver, Colorado 1983
Summer SIAM Meeting Seattle, Washington 1984
American Mathematical Society New Orleans, Louisiana 1984
NACME Conference Atlanta, Georgia 1985
NACME Conference Atlanta, Georgia 1985
American Mathematical Society Orlando, Florida 1996
Seminars Attended:
ASEE University of Notre Dame 1978
Bendat and Piersol Seminar on Analysis Tech Center 1978
Analysis and Measurements
E Comsets Conference Lehigh University 1979
Graph Theory Seminar GMI, Flint, Michigan 1979
(Co-organizer with Professor Shapiro)
Midwest Differential Equations Conference Michigan State University, East Lansing, Michigan 1980
A Tribute to Cesari University of Michigan, Ann Arbor, Michigan 1980
Dynamical Systems Michigan State University, East Lansing, Michigan 1981
Industry Mathematics Colloquium Michigan State University, East Lansing, Michigan 1982
Differential Equations Seminar Michigan State University, East Lansing, Michigan 1984
Jack Hale's Seminar on Homoclinic Orbits Michigan State University, East Lansing, Michigan 1985
for Delay Equations
Advisor to Phi Eta Psi Fraternity, 1978-present
Co-Advisor to BUC, 1978-80, 1985
Advisor to National Society of Black Engineers, 1979-present
Special Events Committee, 1980-present
Involved with SFRC, 1978-80
On Department Student Perception of Teaching Committee, 1978-79
Developed a questionnaire to find students' interest to help eliminate isolated unconnected student activities
Student Retention Task Force for Dean of Students, 1980-present
Department Calculus Committee, 1981-82
Department Seminar Committee
Department EE-Math, 1981-82
Library Advisory Committee, 1982-1985
Admissions Committee, 1981-83
Mathematic specialist to contact high school instructors about the mathematics course contents on student
applications
Recruiting assignment, 1981
Gainesville, Florida; Jacksonville, Florida; Valdosta, Florida; Adel, Georgia; Jefferson County, Florida; Clarkston,
Michigan; Martin Luther King High School, Detroit, Michigan
Enrollment Management Committee, 1982-83
Paul Dunbar High School Pre-Engineering Committee: Curriculum Development, 1982
Developed mathematics for the AIM Program
AIM Committee member
AIM recruitment in Wilmington, Delaware, 1984
AIM recruitment: 1985
Buena Vista High School, Saginaw, Michigan; Swan Valley High School, Saginaw, Michigan; Renaissance High
School, Detroit, Michigan; Cass Technical High School, Detroit, Michigan; Everett High School, Lansing,
Michigan; Eastern High School, Lansing, Michigan; Sexton High School, Lansing, Michigan; Lansing Catholic
Central, Lansing, Michigan; Beecher High School, Flint, Michigan; Central High School, Flint, Michigan; Prism
Program, Rochester, New York; Fame Program, Wilmington, Delaware; NSSFSN Program, Miami, Florida
Camber Rolloff Modeling Project GM Proving Grounds 1077
(GM Confidential)
Modeling Problem for Truck & Coach Division
(GM Confidential)
Visited Dunbar High School to look at program (GMI sponsored trip)
I am involved in Thanksgiving food collections and distribution activities in East Lansing that aid poor people. Also, I
am raising funds for college scholarships in East Lansing Cambodian Refuge Relief Activities.
Helped develop and present a three-to-four hour weekly program to aid minority and disadvantaged nursing students in
the understanding of mathematical principles. (Program ran for 5 years at MSU.)
Helped develop and present a 60-hour program to aid forestry student in understanding mathematical principles for
students beginning graduate work 10 to 15 years after graduation.
Three grants for financial support were written during 1985:
1. Agency: U.S. Department of Energy
Title: Project on Engineering and Technology (a Pre-Engineering program)
Status: Rejected
2. Agency: U.S. Department of Education
Title: A Proposal to Aid Minority Women to Gain Admission to and Graduate from an Engineering and
Management College
Status: Rejected
Reason: Two or three of the guidelines were not addressed. Had insufficient information regarding all
guidelines.
3. Agency: Defense Department
Title: Chaos in Dynamical Systems
Status: Funded. Joint project with Shuie-Nee Chow, Tien-Yien Li, Byron Drachman, Steven W. Shaw,
Lionel M. Ni, and Lai-Sang Young, Michigan State.
Moderator at the Annual Coordination Conference, June 20, 1985
Subject: Minority Recruitment
Panel: Kathy Alexander, Xerox Corporation; William Kornegay, CPC-Flint Engine; Ken Crockett,
Central Foundry-Saginaw, Michigan; Gregory Shipman, Hydra-matic, Ypsilanti, Michigan.
Panel participant at the National Mathematics Meeting, New Orleans, Louisiana
Topic: Pipeline Issues (Minorities from Kalamazoo Undergraduate)
Worked with GMI's N.S.B.E. Chapter in hosting Region IV N.S.B.E. Conference at the Hyatt Regency, November 1-3, 1985. (All funds for this conference were solicited from outside sources. No GMI funds were used. The program
was a success.)
Refereed a paper for the Society of Industrial and Applied Mathematics. Paper submitted by Michael F. Hyde,
entitled, "Retirement Planning in an Inflationary Economy."
Topic Year Plant
Computerization of the Weld Process/Product Audit 1986 GM Truck & Bus, St. Louis, Missouri
Computerized Gage Inventory and Surveillance 1986 CPC, Bay City, Michigan
Evaluation and Implementation of a CAD/CMM Interflow 1995 Huron Plastics Group, St. Clair, Michigan
Developed Math Opens the Door Program for seventh grade students
Helped develop Mission and Vision Statements for several degree programs
Member, Academic Quality Council of GMI's Executive Council
Advisory Board Member, Connected Mathematics Project at Michigan State University
Advisory Board Member, Making Mathematics Accessible to All project, Western Michigan University
Member, Michigan Association for Equity in Higher Education
Updated: March 4 , 1999