JOHN R. GRAEF


 

Position: Professor and Head
Department of Mathematics
University of Tennessee at Chattanooga
Chattanooga, TN 37403-2598 USA 
Telephone: 423-425-4545;   Fax: 423-425-4586
E-mail: john-graef@utc.edu

Education:

Ph.D. Southern Illinois University (Carbondale, IL), 1970
M.S. St. Mary's University (San Antonio, TX), 1965
B.S. Loyola University (Chicago, IL), 1964


Positions and Experience:

	University of Tennessee at Chattanooga
		Professor and Head, 1999 - present
	Mississippi State University 
		Professor, 1979 - 1999 
		Interim Head, 1996 - 1998
		Associate Professor, 1973 - 1979 
		Assistant Professor, 1970 - 1973 
	Southern Illinois University
		Graduate Teaching Assistant, 1966 - 1970
	San Antonio Independent School District
		Junior High School Mathematics Teacher, 1965 - 1966
Teaching Experience:

Have taught most beginning level mathematics courses. Post Calculus Courses taught include: Differential Equations I and II, Linear Algebra, Mathematical Writing, Advanced Calculus I and II, Applied Mathematics I and II, Elementary Topology, Linear Programming I, Matrices and Linear Algebra, Mathematical Statistics I and II, Multivariable Calculus, Numerical Analysis I and II, Introduction to Partial Differential Equations, Secondary School Mathematics from an Advanced Viewpoint. Individual Studies Courses taught: Financial Mathematics, Actuarial Mathematics, Dynamic Equations on Time Scales. Honors Project Directed: Oscillation of Solutions of Dynamic Equations on Time Scales: the Sturm-Picone Comparison Theorem. Graduate Courses taught include: Advanced Numerical Analysis, Calculus of Variations, Integral Equations, Numerical Solution of Ordinary Differential Equations I, Numerical Solution of Partial Differential Equations, Ordinary Differential Equations I and II, Selected Topics in Ordinary Differential Equations, Stability Theory of Differential Equations, Topics in Control Theory. Served as minor professor for M.S. degree students in aerospace engineering, agricultural engineering, computational engineering, electrical engineering, mathematics, and physics; served as minor professor for Ph.D. students in aerospace engineering, civil engineering, computational engineering, education, electrical engineering, industrial engineering, and mechanical engineering.

Research Interests:

General area of research is ordinary and functional differential equations, difference equations, impulsive systems, differential inclusions, dynamic equations on time scales, and their applications. Special interests include: nonlinear oscillations (stability, oscillation, nonoscillation, and other asymptotic properties of solutions of nonlinear equations); boundary value problems; control theory; dynamical systems; mathematical modeling; applications to biological systems; numerical analysis; numerical solution of ordinary and partial differential equations.

Professional Organizations:
Awards and Honors: Publications:

More than 250 papers have appeared in print or are accepted for publication in refereed journals, and several more have been submitted for publication. A selection of some more-recent publications indicating various research interests can be found here: Recent Publications

Books Published: Papers Presented at Professional Meetings:

Authored or co-authored more than 175 presentations at regional, national, and international meetings including invited talks in Bulgaria, Canada, Czech Republic, France, Germany, Greece, Hungary, Poland, Slovakia, and Yugoslavia, as well as the United States. A selection from those presented in the last few years can be found here: Recent Presentations at Professional Meetings

Master's Degree Theses and Projects Directed:
  1. Eva H. Seal, An Oscillation Theorem for n-th Order Linear Differential Equations. M.S. 1981
  2. Gamal N. El-nagar, M.A. (Non-Thesis Option). 1986.
  3. Jelinda E. Barnes, Sturm Theory for Difference Equations. M.A. 1993
  4. Elizabeth E. Doll, Discrete Calculus of Variations. M.A. 1993
Ph.D. Students:
  1. Jin-san Yang, Least Weighted Methods in Linear Models. (Major Professor) 1995
  2. Agnes Miciano-Carino, Oscillation and Asymptotic Properties of Solutions of Higher Order Delay Difference Equations. (Major Professor and Dissertation Director) 1995
  3. Sumalee Givaruangsawat, Statistical Inference in the Presence of Correlated Data. (Major Professor) 1996
  4. Liancheng Wang, Mathematical Analysis of Global Dynamics of SEIR Type Epidemiological Models (Major Professor) 2000
  5. Bo Yang, Boundary Value Problems for Ordinary Differential Equations (Major Professor and Dissertation Director) 2002
Editing and Reviewing Activities:
Editor-in-Chief of the journal Communications in Applied Analysis

Referee for more than sixty journals, reviewer for Mathematical Reviews, proposal reviewer for the National Science Foundation, the National Research Council, Natural Sciences and Engineering Research Council of Canada, and the Ministry of Education of the Czech Republic. Served as external reviewer for tenure and promotion of faculty at other universities, and as an examiner for Ph.D. students at other universities. Member of Editorial Board of:
  • Advances in Difference Equations
  • Advances in Dynamical Systems and Applications
  • Communications in Differential and Difference Equations
  • Dynamic Systems and Applications
  • Electronic Journal of Qualitative Theory of Differential Equations
  • Far-East Mathematical Journal
  • Global Journal of Mathematical Analysis
  • Global Journal of Mathematics and Mathematical Sciences
  • Global Journal of Pure and Applied Mathematics
  • International Journal of Applied Mathematical Sciences
  • International Journal of Applied Mathematics
  • International Journal of Applied Mathematics and Mechanics
  • International Journal of Computational and Applied Mathematics
  • International Journal of Mathematical Sciences
  • International Journal of Nonlinear Differential Equations: Theory, Methods and Applications
  • International Journal of Statistics and Systems
  • International Journal of Theoretical and Applied Mathematics
  • Journal of Functional Analysis and Approximation Theory
  • Nonlinear Studies
  • PanAmerican Mathematical Journal
Other Related Activities:

Served on a number of Department, College, and University committees including as Chair of the University Committee on Courses and Curricula (1995-99), Chair of the University Core Curriculum Committee (1994-99), and Director of the University Supplemental Instruction Program (1995-98). Served on the University of Tennessee/Tennessee Board of Regents' Mathematics Review Committee (2000-01, 2005) to review and approve new high school Mathematics courses to be designated as college prepatory. Appointed a member of the Tennessee Higher Education Commission's Improving Teacher Quality Advisory Selection Committee (2005-present), and the Tennessee State P-16 Council on Mathematics Curriculum Alignment (2006-08). Invited to give Colloquium Lectures at various universities in the U.S. and abroad. Served as a member of organizing committees for several international conferences; invited to organize special sessions of papers at national and international meetings. Hosted a number of mathematicians from China, Czech Republic, Greece, Hungary, Russia, Slovakia, and Yugoslavia who visited MSU for the purpose of collaborating on joint research. Negotiated a Letter of Agreement between Attila Jozsef University (Szeged, Hungary) and Mississippi State University to cooperate in areas of research and education. Also arranged a Letter of Agreement establishing cooperation between Masaryk University (Brno, Czech Republic), the Institute of Mathematics of the Academy of Sciences of the Czech Republic, and Mississippi State University in the areas of research and education. Hosted mathematicians from Belarus, China, the Czech Republic, Hungary, Italy, Scotland, and Turkey who visited UTC to cooperate in areas of research and education. Referee for more than sixty journals, reviewer for Mathematical Reviews, proposal reviewer for the National Science Foundation, the National Research Council, Natural Sciences and Engineering Research Council of Canada, and the Ministry of Education of the Czech Republic. Served as external reviewer for tenure and promotion of faculty at other universities, and as an examiner for Ph.D. students at other universities. Member of Editorial Board of: ALINK="#ff0000"