The Department of Mathematics at the University of Tennessee at Chattanooga offers the Bachelor of Arts (B.A.) and the Bachelor of Science in Applied Mathematics (B.S.) degrees. There are several different options under the B.S. in Applied Mathematics program not commonly found at all undergraduate institutions including concentrations in Actuarial Science, Computer Science, Corporate Science, and Systems Science. These concentrations require that the student take specific courses in disciplines outside the Department in addition to their Mathematics courses. For example, under the Actuarial Science option, students must take courses in Accounting, Economics, Finance, and Marketing.

The Department generates the second largest number of credit hours in the University. During the 2000 Summer, 2000 Fall, and 2001 Spring Semesters the Department generated a total of 15,252 Semester Credit Hours (SCH). To put this figure in perspective, it represents 7% of the University total SCH and 12.3% of the College of Arts and Sciences SCH during the same time period. Moreover, this level of SCH production represents 51.4% of the SCH produced by the College of Business Administration, 45.5% of the SCH produced by the College of Education & Applied Professional Studies, 148% of the SCH produced by the College of Engineering & Computer Science, and 80.3% of the SCH produced by the College of Health & Human Services in this same time period.

The Department had another outstanding year in research: 54 papers appeared in print or were accepted for publication in refereed journals, and another 17 papers were submitted for publication. Even when adjusted to account for some of the papers being jointly authored by more than one member of the Department, the numbers (48 and 16) are still quite impressive for a Department the size of the one at UTC. Of the eighteen full time faculty members in the Department with terminal degrees, ten had at least one paper appear in print or be accepted for publication during 2000--2001. In addition, faculty delivered a total of 24 presentations at professional meetings and invited colloquium lectures. Such a research output compares very favorably with Mathematics Departments at other universities that offer Ph.D. programs. The Department will be hosting the Southeastern Sectional Meeting of the American Mathematical Society in October of 2001.

During 2000--01, $238,741 in external funding was received by faculty as principal investigators or co-principal investigators on grants. In this same time period, $860,449 in additional grant proposals were submitted.

The Department continues to be very active in its outreach activities. As can be seen from the sections on Grants and Contracts and Other Professional Activities below, faculty in the Department conduct workshops and provide other support activities for area school teachers and even their parents. Some of these activities have received funding from outside agencies. At the same time, these activities also serve as valuable recruiting techniques for the Department and the University. Several members of the Department took the Praxis II Examination for Professional Assessments for Beginning Teachers. A further discussion of these activities can be found in the section on Other Department Activities below.

Through contacts made by the Department Head as a member of the Porter Insurance/Medical/Medical Devices Cluster Group, one, and possibility two, internships for our students are being established at Blue Cross/Blue Shield of Tennessee. These will begin in the 2002 Spring Semester. Representatives from BS/BS will make a presentation early in the 2001 Fall Semester to inform students about the nature of these internships and answer questions they may have about this program.

Personnel:

In 2000--2001 there were twenty-two full time faculty in the Department of whom 18 hold the Ph.D. degree. One faculty member, Harry Miller, was on educational leave for the Spring Semester. Robert Wynegar resigned and accepted the position of Division Chair at Darton College in Albany, Georgia; Mayme Kay Banasiak was appointed Interim Director of Developmental Mathematics for 2000--01. Chaowen Zhang was hired as one year Visiting Professor; he resigned and left in the middle of the Spring Semester due to health problems. Terry Williams left at the end of the 1999--2000 Academic Year to attend medical school. Martha Wayland was hired on a one year appointment. Tom Kozubowski resigned during the Summer of 2000 and Pete Caithamer resigned at the end of the 2000--01 Academic Year. Aimee Ellington completed work on her Ph.D. in Mathematics Education at the University of Tennessee in Knoxville; she resigned at the end of the Academic Year to accept an Assistant Professor position at Virginia Commonwealth University. Yongzhi Steve Xu was promoted from Associate Professor to Professor, and John Graef was awarded tenure. Steve Kuhn delayed his Sabbatical Leave for the 2001 Spring Semester to the Fall of 2001. Betsy Darken was granted a Sabbatical for the Fall of 2001.

Karen Young, who had served as Administrative Secretary since June of 1995 moved to Baltimore, Maryland in October of 2000. Suzie Weber was hired to replace Karen in September 2000. A complete list of faculty and staff is as follows:

Professors: Boris Belinskiy, Jerald Dauer, Billy Edwards, John Graef (Head), Stephen Kuhn, Christopher Mawata, Harry Miller, Edward Rozema, Eugene Schlereth, Ronald Smith, Yongzhi Xu.

Associate Professors: Stan Byrd, Betsy Darken, Aniekan Ebiefung, Irene Loomis, Ossama Saleh, Terry Walters.

Assistant Professors: Peter Caithamer.

Instructors: Aimee Ellington, John Gordon, Martha Wayland, Mayme Kay Banasiak (Interim Director of Developmental Mathematics).

Laboratory Staff: Connie Boroughs.

Administrative Secretary: Karen Young; Suzie Weber (as of September 2000).

In addition, the following adjunct faculty taught for the Department in 1999--2000:

Dorothy Beach, Roland Fanselau, Thomas Fox, Gary Gilreath, Axel Lubkowitz, Samuel Ofori, Akintoye Oloko, Thomas Orofino, Walton Powers, Robert Reker, John Squires, Juanita Woods.

Awards and Honors:

• Mayme Kay Banasiak completed her Masters of Arts in Education degree at Tusculum College, in Greenville, Tennessee. The title of her thesis was The Accuracy Of Math Placement Levels For A Medium Metropolitan University.

• Boris Belinskiy, Steve Kuhn, Chris Mawata, Ron Smith, and Bob Wynegar were awarded Exceptional Merit for their activities during the 1999--2000 Academic Year.

• Boris Belinskiy, Aniekan Ebiefung, Ron Smith, and Steve Xu were awarded Exceptional Merit for their activities during the 2000--2001 Academic Year.

• At the Fifth Mississippi State University Conference on Differential Equations and Computational Simulation, John Graef was awarded a plaque stating "Mississippi State Differential Equations and Computational Simulation Conference Organization Recognizes John R. Graef for his outstanding contributions to the development of the research program in differential equations at Mississippi State University, May 2001."

• Steve Kuhn and Ed Rozema successfully completed their Cumulative Performance Reviews.

• Several faculty members received Service Awards; these include:
  • Stan Byrd -- 20 years
  • Ron Smith -- 20 years
  • Mayme Kay Banasiak -- 15 years
  • Terry Walters -- 15 years
  • Steve Xu -- 5 years
  • Karen Young -- 5 years
  
  

The Department currently has 32 undergraduate majors enrolled in either the B.S. or B.A. program. There are also 42 Mathematics Education majors, and 8 Post-baccalaureate students are pursuing licensure in Secondary Mathematics. These last two groups are particularly important because Mathematics Education majors take the same courses designed for Mathematics majors but only three fewer hours. There are also currently 31 undergraduate students who are minoring in Mathematics.

Student Awards and Honors:

Each year the Department makes a number of awards to deserving undergraduate students. This year, these awards were presented at a reception held at the Faculty Club on April 10, 2001. Mathematics Majors, Minors, and students majoring in Mathematics Education were invited to Honors Day. Parents of the recipients were also invited. The recipients for 2001 are:

• Ruth Clark Perry Memorial Mathematics Award -- Tracy L. Poole
• Winston Massey Memorial Mathematics Award -- Donald R. Carson and Daniel B. Stover
• John W. Jayne Mathematics Award -- Niya Davis and Vincent C. Betro
• Pi Mu Epsilon Freshman Mathematics Award -- Sarah Bell

The research interests of the faculty span the range from abstract to applicable to applied. The faculty collaborate with other mathematicians from the United States as well as from China, the Czech Republic, France, Greece, Hungary, India, Japan, Russia, Slovakia, and Turkey. Models describing the growth of certain animal populations, the spread of infectious diseases, wave phenomena, acoustic scattering, underwater imaging, manufacturing systems, industrial pollution emission control, random oscillations of mechanical systems, and financial data are among the many applications studied by members of the Department. The remainder of this section documents the various research activities of the Department in 2000--2001.

Papers Appeared in Print:

A. Boris Belinskiy

1. Wave propagation in the ice-covered ocean wave guide and operator polynomials, Proceedings of the 2nd ISAAC Congress, Vol 2., H. G. W. Begehr et al (eds.), Kluwer Academic Publishers, 2000, 1319--1333.
2. Heat transfer in a region with non-uniform boundary conditions, with J. Hiestand, Applicable Analysis 75 (2000), 25--42.
3. Energy of mechanical systems with uncertainty in exterior forces or parameters, with P. Caithamer, Proceedings of the Joint Conference for Applied Mathematics of the Mathematical Society of Japan (Ryukoku University, Shiga, Japan), 2000, 223--228.
4. On the uniqueness of the problem of acoustic diffraction by an infinite plate with local irregularities, with I. V. Andronov, Acoustical Physics 47 (2001), 3--9.
5. Energy of an elastic mechanical system driven by Gaussian noise white in time, with P. Caithamer, in: ``Dynamical Systems and Differential Equations," Proceedings of the Third International Conference on Dynamical Systems and Differential Equations, edited by. J. Du and S. Hu, 2001, 39--49.
6. Acoustic and Lamb waves on a reinforced cylindrical shell, with H. Uberall, J. Dauer, et al, Journal of Computational Acoustics 9 (2001), 1--13.

7. Energy of mechanical systems with uncertainty in exterior forces or parameters, with B. Belinskiy, Proceedings of the Joint Conference for Applied Mathematics of the Mathematical Society of Japan (Ryukoku University, Shiga, Japan), 2000, 223--228.
8. Energy of an elastic mechanical system driven by Gaussian noise white in time, with B. Belinskiy, in: "Dynamical Systems and Differential Equations," Proceedings of the Third International Conference on Dynamical Systems and Differential Equations, edited by. J. Du and S. Hu, 2001, 39--49.

9. Evaluating Calculus Reform: A Review and a Longitudinal Study, with S. Kuhn and R. Wynegar, Research in Collegiate Mathematics Education IV, edited by E. Dubinsky, A. Schoenfeld, and J. Kaput, American Mathematical Society and Mathematical Association of America, 2000, 16--41.

10. Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces, with K. Balachandran, an invited paper in the Journal of Mathematical Analysis and Applications 251 (2000), 93–-105.
11. Decision making for environmental control, with Y.H. Liu and K. J. Siddiqui, Proceedings of the SPIE conference in Boston, Massachusetts, SPIE Vol. 4205 (2001), 311--319.
12. Acoustic and Lamb waves on a reinforced cylindrical shell, with H. Uberall, B. Belinskiy, et al, Journal of Computational Acoustics 9 (2001), 1--13.

13. Production equilibrium point in multi-unit manufacturing systems, with G. Udo, Proceedings of the 31st Annual Meeting of the Decision Sciences Institute, 2000, 865--867.
14. The concerns of information technology users: a survey, with G. Udo, Proceedings of the 31st Annual Meeting of the Decision Sciences Institute, 2000, 764--766.
15. Choice of technology and industrial pollution emission control model, Proceedings of the 27th International Conference on Computers and Industrial Engineering, CDR Book, China Machine Press, 2000.
16. A generalization of the industrial pollution emission control model, Proceedings of the Fifth Africa-USA International Conference on Manufacturing Technology, 2000, 109--116.

17. On the oscillation of impulsively damped halflinear oscillators, with J. Karsai, Electronic Journal of Qualitative Theory of Differential Equations, Proceedings of the Sixth Colloquium on the Qualitative Theory of Differential Equations, No. 14 (2000), 1--12.
18. Asymptotic behavior of solutions of differential equations with variable delays, with C. Qian and B. Zhang, Proceedings of the London Mathematical Society 81 (2000), 72--92.^*
19. Positive solutions to boundary value problems for nonlinear difference equations, with C. Qian and B. Yang, Journal of Difference Equations and Applications 6 (2000), 91--104.^*
20. Oscillatory properties of solutions of certain nonlinear third order differential equations, with M. Gregûs, Nonlinear Studies 7 (2000), 43--50.^*
21. On L² solutions of third order nonlinear differential equations with M. Bartusek, Dynamic Systems and Applications 9 (2000), 469--482.
22. Some limit-point/limit-circle results for third order differential equations, with M. Bartusek, in: "Dynamical Systems and Differential Equations," Proceedings of the Third International Conference on Dynamical Systems and Differential Equations, edited by. J. Du and S. Hu, 2001, 31--38.
23. Oscillation and nonoscillation in nonlinear impulsive systems with increasing energy, with J. Karsai, in: ``Dynamical Systems and Differential Equations," Proceedings of the Third International Conference on Dynamical Systems and Differential Equations, edited by. J. Du and S. Hu, 2001, 161--173.

24. Evaluating Calculus Reform: A Review and a Longitudinal Study, with B. Darken and R. Wynegar, Research in Collegiate Mathematics Education IV, edited by E. Dubinsky, A. Schoenfeld, and J. Kaput, American Mathematical Society and Mathematical Association of America, 2000, 16--41.

25. Generalized dual space indicator method for underwater imaging, with Y. Xu and W. Lin, Inverse Problems 16 (2000), 1761--1776.
26. Generalized dual space indicator method for imaging obstacles in a homogeneous medium, with Y. Xu and W. Lin, Proceedings of the Second ISAAC Congress, Kluwer Academic Publishers, 2000, 1599--1606.

27. A personal account of mathematics in Bosnia, Mathematical Intelligencer 21 (2001), 31--35.

28. Line insertions in totally positive matrices, with C. R. Johnson, Journal of Approximation Theory 105 (2000), 305--312.

29. Generalized dual space indicator method for underwater imaging, with C. Mawata and W. Lin, Inverse Problems 16 (2000), 1761--1776.
30. Generalized dual space indicator method for imaging obstacles in a homogeneous medium, with C. Mawata and W. Lin, Proceedings of the Second ISAAC Congress, Kluwer Academic Publishers, 2000, 1599--1606.
31. Continuity and determination of parameters for quasistatic thermoelastic system, with M. He, Proceedings of the Second ISAAC Congress, Kluwer Academic Publishers, (2000), 1585--1597.
32. Identification, by the intersecting canonical domain method, of the size shape and depth of a soft body of revolution located within an acoustic waveguide, with J. Buchanan, R. P. Gilbert, and A. Wirgin, Inverse Problems, 16 (2000) 1709--1726.
33. Acoustic imaging in a shallow ocean with a thin ice cap, with R. P. Gilbert, Inverse Problems, 16 (2000) 1799--1811.

1. Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous in- extensible filament with an end load, with C. F. Martin and M. A. Shubov, Mathematical Methods in the Applied Sciences, to appear.

2. Controllability of semilinear stochastic evolution equation in Hilbert space, with P. Balasubramaniam, Journal of Applied Mathematics and Stochastic Analysis, to appear.
3. Controllability of semilinear evolution equations with time-lags, with P. Balasubramaniam and C. Loganathan, Libertas Mathematica, to appear.
4. Objective space analysis of a multiple criteria linear programming model for capital budgeting, with Y.-H. Liu, an invited paper, Chapter 13 in Multi-Criteria Applications, edited by K. Lawrence, G. Reeves and R. Klimberg, to appear.

5. Oscillation and comparison theorems for half--linear second order difference equations, with E. Thandapani and K. Ravi, Computers and Mathematics with Applications, to appear.
6. Nonlinear systems with impulse perturbations, with J. Karsai, Proceedings of the Third International Conference on Dynamic Systems and Applications, to appear.^*
7. Positive solutions of a boundary value problem for fourth order nonlinear differential equations, with B. Yang, Proceedings of the Third International Conference on Dynamic Systems and Applications, to appear.^*
8. Some new results and open problems on oscillation of nonlinear difference equations, with L. Ramuppillai and E. Thandapani, Proceedings of the Third International Conference on Dynamic Systems and Applications, to appear.^*
9. Asymptotic decay of nonoscillatory solutions of general nonlinear difference equations, with S. L. Marian and E. Thandapani, International Journal of Mathematics and Mathematical Sciences, to appear.
10. Double solutions of boundary value problems for 2mth order differential equations and difference equations, with J. Henderson, Computers and Mathematics with Applications, to appear. An invited paper for the special issue: "Advances in Difference Equations IV."
11. Boundary value problems for sixth order nonlinear ordinary differential equations, with B. Yang, Dynamic Systems and Applications, to appear.
12. Boundary value problems for 2n-th order nonlinear ordinary differential equations, with B. Yang, Applicable Analysis, to appear.
13. On the definitions of the nonlinear limit-point/limit-circle properties, with M. Bartusek and Z. Doslá, Differential Equations and Dynamical Systems, to appear.

14. On almost convergent and statistically convergent subsequences, with C. Orhan, Acta Mathematica Hungarica, to appear.

15. Linear interpolation problems for matrix classes and a transformational characterization of M-matrices, with C. R. Johnson, Linear Algebra and Its Applications, to appear.
16. On characterizing Z-matrices, Linear Algebra and Its Applications, to appear.
17. Almost principal minors of inverse M-matrices, with Charles R. Johnson, Linear Algebra and Its Applications, to appear.

18. A mode-matching method for forward and inverse scattering from an object in a shallow-water waveguide, with J. Buchanan, P. Cristini, R. P. Gilbert, and A. Wirgin, Journal of Computational Acoustics, to appear.
19. Determination of a buried object in a two-layered shallow ocean, with R. P. Gilbert and M. Wirby, Journal of Computational Acoustics, to appear.
20. The unknown object problem in a sea with sloping bottom, with R. P. Gilbert and M. Ou, Applicable Analysis, to appear.
21. On inverse crimes, with J. Buchanan, R. P. Gilbert, and A. Wirgin, Mathematics and Computer Modeling, to appear.

1. Acoustic scattering from an elastic plate supported by a rigid narrow rib, with I.V. Andronov, submitted for publication.
2. Optimal Design of a Turbine, with C. M. McCarthy, submitted for publication.
3. Energy of an elastic mechanical system driven by Gaussian noise white in time, with P. Caithamer, submitted for publication.

4. Energy of an elastic mechanical system driven by Gaussian noise white in time, with B. Belinskiy, submitted for publication.

5. Measurement and its connection to counting and the use of units, submitted for publication.

6. QH-Controllability of semilinear systems in Banach space, with K. Balachandran, submitted for publication.
7. Weak controllability of second order semilinear Volterra integrodifferential systems in Banach space, with P. Balasubramaniam, submitted for publication.

8. Evaluating internet materials for research, submitted for publication.
9. Using technology to control industrial pollution, submitted for publication.

10. Oscillation of impulsive neutral delay differential equations, with J. H. Shen and I. P. Stavroulakis, submitted for publication.
11. Positive solutions of a class of neutral difference equations, with C. Qian and B. Yang, submitted for publication.
12. Three symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations, with C. Qian and B. Yang, submitted for publication.
13. Asymptotic behavior of nonoscillatory solutions of neutral difference equations, with S. L. Marian and E. Thandapani, submitted for publication.

14. Statistical convergence and rates of convergence, with C. Orhan and J. Fridy, submitted for publication.

15. Intervals of inverse M-matrices, with C. R. Johnson, submitted for publication.

16. Uniqueness and computational results for obstacle inverse scattering in a water waveguide, submitted for publication.
17. Determination of osteoporosis by ultrasound, with J. Buchanan, R. P. Gilbert, and A. Wirgin, submitted for publication.

1. Oscillations of a rotating string with a random frequency, with P. Caithamer, presented at the Twentieth Annual Southeastern-Atlantic Regional Conference on Differential Equations, held at Virginia Polytechnic Institute and State University, Blacksburg, Virginia, October 20--21, 2000.
2. Random excitation of the linear mechanical systems, with P. Caithamer, presented at the 960th Meeting of the American Mathematical Society, held at the University of Alabama at Birmingham, Birmingham, Alabama, November 10--12, 2000.
3. Energy of mechanical systems with uncertainty in exterior forces or parameters, with P. Caithamer, presented at the Joint Conference for Applied Mathematics of the Mathematical Society of Japan, Ryukoku University, Shiga, Japan, December 20--22, 2000.

4. Breaking the cycle of weak American mathematics education: educating future teachers to move beyond facts and procedures, presented at the 14-th Annual Mathematics Conference, Georgia Perimeter College, February, 2001.

5. Decision making for environmental control presented at the International 2000 SPIE Conference in Boston, Massachusetts, November, 2000.

6. Production equilibrium point in multi-unit manufacturing systems, presented at The 31st Annual Meeting of the Decision Sciences Institute, held in Orlando, Florida, November 18--21, 2000.
7. The concerns of information technology users: a survey, presented at The 31st Annual Meeting of the Decision Sciences Institute, held in Orlando, Florida, November 18--21, 2000.

8. Some results on the asymptotic decay of nonoscillatory solutions of general nonlinear difference equations, with E. Thandapani and S. L. Marian, presented at the Twentieth Annual Southeastern--Atlantic Regional Conference on Differential Equations held at Virginia Polytechnic Institute and State University, Blacksburg, Virginia, October 20--21, 2000.
9. Positive solutions of a class of neutral difference equations, with C. Qian and B. Yang, an invited paper presented in the Special Session "Asymptotic Behavior of Difference Equations with Applications" at the 107th Annual Meeting of the American Mathematical Society, in New Orleans, Louisiana, January 10--13, 2001.
10. Classification of positive solutions of neutral difference equations, with C. Qian and B. Yang, presented at the Fifth Mississippi State Conference on Differential Equations and Computational Simulations, held at Mississippi State University, Mississippi State, Mississippi, May 18--19, 2001.
11. Positive solutions of a third order neutral delay differential equation, with C. Qian and B. Yang, presented at the Fifth Mississippi State Conference on Differential Equations and Computational Simulations, held at Mississippi State University, Mississippi State, Mississippi, May 18--19, 2001.

12. Summability and speeds of convergence, presented at the First Bosnian--Croatian Conference in Analysis, held in Bihac, Bosnia, May 11--12, 2001.

13. An indicator method for inverse scattering problems in underwater acoustics, an invited talk presented in the special session "Direct and Inverse Scattering in Extended Inhomogeneous Environments" at the Progress in Electromagnetics Research Symposium (PIERS 2000), held in Cambridge, Massachusetts, July 5--14, 2000.
14. The unidentified object problem, with R. P. Gilbert, A. Wirgin, and J.Buchanan, an invited talk presented in the special session "Direct and Inverse Scattering in Extended Inhomogeneous Environments" at the Progress in Electromagnetics Research Symposium (PIERS 2000), held in Cambridge, Massachusetts, July 5--14, 2000.
15. Acoustic imaging in a shallow ocean with a thin ice-cap, with R. P. Gilbert, an invited talk presented in the special session "Direct and Inverse Scattering in Extended Inhomogeneous Environments" at the Progress in Electromagnetics Research Symposium (PIERS 2000), held in Cambridge, Massachusetts, July 5--14, 2000.
16. Acoustic imaging in a shallow ocean with ice-cap, with R. P. Gilbert, an invited talk presented in the special session "Inverse Problems" at the 960th Meeting of the American Mathematical Society, held at the University of Alabama at Birmingham, Birmingham, Alabama, November 10--12, 2000.
17. Generalized dual space indicator method for inverse scattering problems in a waveguide, an invited talk presented in the special session "Inverse Problems" at the 960th Meeting of the American Mathematical Society, held at the University of Alabama at Birmingham, Birmingham, Alabama, November 10--12, 2000.

1. Developmental Mathematics: Today! Tomorrow? A survey of developmental mathematics at UTC, presented at the University of Tennessee at Chattanooga, Chattanooga, Tennessee, April 3, 2001.

2. The problems of control, optimal design, and random oscillations for some engineering models, presented at the University of Tennessee at Chattanooga, Chattanooga, Tennessee, November 30, 2000.
3. Random oscillations of mechanical models, presented at the Graduate School of Mathematical Sciences of Tokyo University, Tokyo, Japan, December 19, 2000.

4. Beyond 2 + 3: What future teachers need to know about not-so-elementary mathematics, presented at the University of Tennessee at Chattanooga, Chattanooga, Tennessee, February 15, 2001.

5. The limit-point/limit-circle problem: a survey, presented at Auburn University, Auburn, Alabama, October 6, 2000.
6. Krasnosel'skii's Fixed Point Theorem and Positive Solutions of Boundary Value Problems, presented at Vanderbilt University, Nashville, Tennessee, April 30, 2001.

7. Statistical rates of convergence, presented at the University of Liouville, Liouville, Kentucky, September 29, 2000.

• Boris Belinskiy received a Faculty Research Grant for the 2001--02 Academic Year in the amount of $2,888.
• Boris Belinskiy applied for a Library Enhancement Initiative Grant in the amount of $100. The proposal was not funded.
• Boris Belinskiy and Steve Xu received a $400 Grant from the Speakers and Special Events Committee to invite a distinguished speaker to the UTC campus. Professor Robert P. Gilbert, Unidel Chair of Mathematics at the University of Delaware visited UTC in March of 2001 and made a presentation to the University community.
• Jerry Dauer and Linda Collins (UTC Biological and Environmental Sciences) are in the second year of a three year National Science Foundation Course, Curriculum and Laboratory Improvement grant Sunlight, Science and Understanding: A Theme Based Interdisciplinary Course in the amount of $150,000 ($52,241 for 2000--01) to develop and implement an interdisciplinary course to satisfy the new General Education Requirements in the natural sciences.
• Aniekan Ebiefung applied for a Faculty Summer Research Fellowship for the Summer of 2001. It was not funded.
• Aniekan Ebiefung was named a Research Associate for the Fall 2000 Semester by the Office of Grants and Research.
• Aniekan Ebiefung received a CECA CCI Grant Production Equilibrium Point in Multi-Unit Manufacturing Systems and Complementarity Problems for the 2000 Fall Semester.
• Aniekan Ebiefung received a Faculty Research Grant for the project Responsible Use of the Internet for Research and Collaborative Projects.
• Aniekan Ebiefung received a Faculty Development Grant of $1,373 to travel to Nigeria to present an invited workshop on teaching using the Internet.
• Aniekan Ebiefung and Billy Edwards applied for the Goals 2000 Grant Spatial Reasoning and Visualization in the amount of $98,664. The proposal was not funded.
• John Graef received the grant Education in the Mall -- Lights On from the Hamilton County Department of Education in the amount of $51,500.
• John Graef and Phil Kazemersky (UTC College of Engineering and Computer Science) were awarded the grant CSEMS (Computer Science, Engineering, and Mathematics Scholarships) Bridge by the National Science Foundation in the amount of $270,000, 2001--03. This is a two year grant with $135,000 received for 2001--02.
• John Graef and Cecelia Wigal (UTC College of Engineering and Computer Science) submitted the grant proposal Graduating Engineers, Mathematicians, and Computer Scientists (GEMACS) to the National Science Foundation for 2002--2005. The amount of the request is $395,578; the funding is pending.
• John Graef and Deborah A. McAllister (College of Education and Applied Professional Studies) submitted the grant proposal Preparing Mathematics Teachers for Licensing Exams through On-line Web Modules to the National Science Foundation for 2002--03. The amount of the request is $172,055; the funding is pending.
• Steve Kuhn received the CECA CCI Grant Computer Curricular Integration to build a web page that students can use.
• Steve Kuhn was named a Research Associate for the Spring 2001 Semester by the Office of Grants and Research.
• Steve Kuhn received a Library Enhancement Initiative Grant in the amount of $1000.
• Steve Kuhn and Terry Walters submitted the grant proposal Enhancing mathematics communication: creating and delivering web-based homework problems to the CCLI Program of the National Science Foundation. The request is for 2002--04 and is in the amount of $187,531.
• Harry Miller received a grant of $4,000 from the county of Bihac in Bosnia to help support 20 Bosnian participants to attend the First Bosnian--Croatian Conference in Analysis that was held in Bihac, Bosnia, in May of 2001.
• Ossama Saleh was named a Research Associate for the Spring 2001 Semester by the Office of Grants and Research.
• Ron Smith was named a Research Associate for the Spring 2001 Semester by the Office of Grants and Research.
• Terry Walters received the CECA CCI Grant The Basic Graphs of Calculus in the amount of $2980 to build a web page that students can use to review the basic functions needed in the study of calculus.
• Terry Walters received a grant from the Technology Fee Program in the amount of $16,153 for projection equipment to be installed in a classroom.
• Steve Xu received the Faculty Research Grant ICBM and GDSIM for Inverse Problems and their Applications to Underwater Imaging, for the 2000 Fall Semester in the amount of $3000.
• Steve Xu received the CECA Research Grant Function Theoretic Method and Symbolic Computation for Thermoelastic Problems, for the 2001 Spring Semester in the amount of $1700
• Steve Xu received a $500 Faculty Development Grant Support for Mathematics Department Colloquium Series for the 2001--02 Academic Year.
• Steve Xu submitted the grant proposal Sound in Submerged Poroelastic Slab and its Applications to Underwater Imaging and to Determination of Osteoporosis to the National Science Foundation. The amount of the request is $105,285; the funding is pending.
• Steve Xu received the CECA Research Grant Imaging floating objects from underwater, for the Summer of 2001 in the amount of $3000
• Steve Xu applied for the Faculty Development Grant Travel Support for Attending SIAM Annual Meeting in the amount of $1500. It was not funded.
• Steve Xu, Robert Gilbert (University of Delaware), and James Buchanan (U. S. Naval Academy) received notice that their National Science Foundation Grant US-France Cooperative Research: Identification by Scattered Sound of an Object in a Shallow Sea was renewed for 2001.
• Steve Xu, Robert Gilbert (University of Delaware), and James Buchanan (U. S. Naval Academy) receive notice that their National Science Foundation Grant Inverse Acoustic Problems in Shallow Oceans, was renewed for 2002.
• Steve Xu was awarded a CECA Scholarship for 2001--02.

Editing and Reviewing Activities:

• Several members of the Department ( Boris Belinskiy, Jerry Dauer, Aniekan Ebiefung, John Graef, Harry Miller, Gene Schlereth, Ron Smith, Steve Xu) serve as referees for journals in the Mathematical Sciences. Members of the Department who served as reviewers for Mathematical Reviews during 2000--01 include Boris Belinskiy, John Graef, Harry Miller, Ron Smith, Steve Xu.
• The following faculty members serve on Editorial Boards for professional journals:
  • Jerry Dauer: Journal of Mathematical Analysis and Applications
  • John Graef: Dynamic Systems and Applications; Electronic Journal of Qualitative Theory of Differential Equations; Nonlinear Studies.
  • Harry Miller: Radovi Matematicki; Communications in Mathematics
  • Steve Xu: Applicable Analysis
• Boris Belinskiy served as a proposal reviewer for the National Science Foundation's Applied Mathematics Division.
• Jerry Dauer reviewed a research proposal for the National Science Foundation.
• Irene Loomis reviewed a grant proposal for the Army Research Laboratory.
• Irene Loomis reviewed a grant proposal for the National Academy of Sciences of the Ukraine.
• Irene Loomis reviewed a new textbook for Harcourt/Academic Press.
• Ron Smith served as an external evaluator for the promotion to full Professor of a faculty member at Auburn University.
• Steve Xu served as a proposal reviewer for reviewer for the National Science Foundation's Division of Mathematics and Physics.

• Aniekan Ebiefung was invited to conduct the workshop Using the Internet for Teaching at Akwa Ibom State College of Education, Afaha Nsit, Akwa Ibom State, Nigeria, on May 16-18, 2001. All his local expenses were paid by Akwa Ibom State College of Education and his travel was supported by a Faculty Development Grant, the College of Arts & Sciences, and the Department.
• Billy Edwards conducted the Mathematics Review for Engineering Students for prospective engineers in preparation for their Fundamentals of Engineering Exam (FE) in the Fall 2000 and Spring 20001 Semesters.
• Stephen Kuhn, Ed Rozema, and Terry Walters conducted the workshop Computer projects in UTC calculus courses in the Mathematics Department at the University of Tennessee at Chattanooga, Chattanooga, Tennessee, March 29, 2001.

• Mayme Kay Banasiak reviewed two books on developmental mathematics for Brooks/Cole Publishing Company.
• Mayme Kay Banasiak attended a Chautauqua Short Course at Duke University, on June 26-28, 2001. The title of the course was Teaching Mathematics with Online Materials.
• Mayme Kay Banasiak completed UTC's Supervisory Training Program.
• Stan Byrd and Billy Edwards organized and conducted the Tennessee Mathematics Teachers' Association's Annual Mathematics Competition which hosted about 180 students from 11 schools from the greater Chattanooga area here at UTC. Other Department members assisting with the administration of the exam included Mayme Kay Banasiak, John Graef, Irene Loomis, Chris Mawata, Gene Schlereth, Ron Smith, and Suzie Weber.
• Jerry Dauer was a member of the Scientific Committee for the International Conference on Acoustics, Noise and Vibrations that was held in August, 2000 at McGill University.
• Jerry Dauer was a member of the Ph. D. (Thesis) Committee of S. Marshal Anthoni at Bharathiar University, Tamil Nadu, India.
• Jerry Dauer attended the 107th Annual Meeting of the American Mathematical Society, in New Orleans, Louisiana, January 10--13, 2001.
• Jerry Dauer is the faculty advisor for the UTC Presbyterian House.
• Aniekan Ebiefung served as a reader for AP Calculus examinations. This took place at Colorado state University on June 6--16, 2001.
• Billy Edwards was selected for and participated in the "Guide to Success" program.
• Billy Edwards was appointed to an advisory committee for the Discovery Museum to oversee the mathematics presented in their displays.
• Billy Edwards was selected and participated in a seminar using the Nominal Group Technique process to define desirable teacher attributes at the K-12 level. This seminar was sponsored by the Public Education Foundation.
• John Gordon conducted the Freshman Mathematics Award competition during the Spring semester.
• John Graef participated in the Council on Undergraduate Research, Institute on Grantmanship held at the University of Michigan--Dearborn, Dearborn, Michigan, on July 25--29, 2000. His trip was sponsored by the Office of Grants and Research.
• John Graef was Major Professor for a Ph.D. student at Mississippi State University; the student received his degree in August of 2000.
• John Graef served on the Praxis Task Force for the College of Education and Applied Professional Studies.
• John Graef attended the conference Articulation -- Continuing the Connection, held at East Tennessee State University, Johnson City, Tennessee, on November 17, 2000.
• John Graef served on the University of Tennessee/Tennessee Board of Regents Mathematics Review Committee. A Committee meeting was held at the Cumberland County Center of Roane State Community College, Crossville, Tennessee, on November 28, 2000 to review and approve high school Mathematics courses to be designated as college prepatory.
• John Graef attended the Tennessee Council of College Chairs of Mathematics Meeting, held at Henry Horton State Park, in Chapel Hill, Tennessee, on December 1-2, 2000.
• John Graef attended the Title II Teacher Quality Institute, U. S. Department of Education, held in Biloxi, Mississippi, on January 17--19, 2001. His trip was supported by a grant received by the College of Education and Applied Professional Studies.
• John Graef served as an external examiner for a Ph.D. student at Periyar University, Tamil Nadu, India.
• John Graef is a member of the newly formed Vanderbilt University Biomathematics Study Group. The Department is in the process of forming a Biomathematics research group at UTC.
• Professor Miroslav Bart\v usek of Masaryk University in Brno, Czech Republic, visited the University of Tennessee at Chattanooga on October 18 to November 1, 2000 to collaborate on joint research projects with John Graef. His visit was supported by a grant from the Czech Republic Grant Agency.
• John Graef is a member of the Conference Proceedings Committee for the Proceedings of the Fifth Mississippi State Conference on Differential Equations and Computational Simulations.
• John Graef has been invited to be one of the Main Speakers at the International Conference on Functional Differential and Difference Equations (ICFDDE) that will be held at Shanghai Jiaotong University, Shanghai, China on August 15-18, 2002. He was also invited to be a member of the Academic Committee for the Conference.
• Irene Loomis attended the 107th Annual Meeting of the American Mathematical Society, in New Orleans, Louisiana, January 10--13, 2001.
• Irene Loomis attended the Society for Industrial and Applied Mathematics conference on Mathematics in History that was held at the University of Houston on April 27--28, 2001.
• Harry Miller was the Ph.D. thesis advisor for a student in Sarajevo.
• Marti Wayland wrote the new version of the Geometry exam for the Tennessee Mathematics Teachers' Association's Mathematics Contest. It will be used in the April 2002 competition.
• Marti Wayland appeared on a morning television program and presented the feature Making Math Fun for Elementary/Middle School Students.
• Steve Xu is a member of the Board of Directors of the International Society of Analysis, its Applications and Computations (ISAAC).

One somewhat unusual outreach activity, Math In the Mall, has brought attention to the Department from as far away as Pennsylvania. As part of the grant Education in the Mall -- Lights On from the Hamilton County Department of Education, faculty members from the Mathematics Department conducted sessions on the second Saturday of each month during the school year at the J. C. Penney store in Hamilton Place Mall. These sessions were aimed at parents of elementary and secondary school students in an effort to help them help their children. Members of the Department participating in this program included Mayme Kay Banasiak, Billy Edwards, Eugene Schlereth, Ronald Smith, Terry Walters, and Marti Wayland.

As part of an effort to improve the rate at which students pass the Praxis II Examination for Professional Assessments for Beginning Teachers, a grant received by the College of Education and Applied Professional Studies (CEAPS) paid the cost of faculty from CEAPS and certain departments in Arts & Sciences to take the exam. Eleven members of the Department ( Banasiak, Belinskiy, Byrd, Darken, Ellington, Kuhn, Rozema, Schlereth, Smith, Walters, Wayland) took a total of 25 sections of the exam, 18 were in content areas and 7 in pedagogy. After the results were received, a Department meeting of those faculty who took the exam was held. Colleagues from the CEAPS were invited to this meeting, and Meg Farrell, Deborah McCallister, Jeanette Stepanske, and Bonnie Warren met with faculty from the Mathematics Department. Various strategies to improve the passing rate on the first attempt as well as the overall passing rate were discussed. Some of the suggestions made that the Department will try to implement include providing help sessions for students to review different types of problems, conducting a seminar during the semester prior to students taking the exam in order to review both mathematical concepts and problem solving strategies, and providing an opportunity for students to take timed practice tests similar to the Praxis exam itself and then reviewing the results and identifying and remedying weaknesses. A summary of the discussion at the meeting was then sent to the Dean of the CEAPS.

An analysis of the programs of study of the students who took the Praxis II in the last few years was also made. It was discovered that there were many inappropriate substitutions for Mathematics courses made including letting courses in accounting replace upper level Mathematics courses. The results of this study were sent to the Dean and other appropriate personnel in the CEAPS.

The Department continued its very active Colloquium Lecture Series this year. The Colloquium Committee ( Boris Belinskiy (Chair), Aniekan Ebiefung, Chris Mawata, Oloko Akintoye (student), Steve Xu) arranged for seventeen Colloquium presentations on a variety of topics dealing with pure and applied mathematical research and mathematics education as well as career opportunities for students. As part of this series, several programs were geared directly at students including: a panel discussion by two UTC Mathematics graduates working in the private sector on opportunities and experiences there; a presentation by a representative of the Center for Disease Control and Prevention in Atlanta on job opportunities with that organization; a panel discussion called ``Ask the Professor" where students questioned five members of the UTC Mathematics Department on careers and related topics; the faculty members on the panel were Stan Byrd, John Graef, Irene Loomis, Gene Schlereth, and Ron Smith. Boris Belinskiy obtained a grant from the Speakers and Special Events Committee to support a presentation by Professor Robert P. Gilbert of the University of Delaware. A complete listing of presenters, titles, and dates of their lectures can be found in APPENDIX A.

Faculty members in the Department of Mathematics serve on Masters Degree examination committee for students in other departments and colleges. They also serve on a variety of committees at all levels in the University. A complete list of committee assignments is as follows.

Department Committees:

• a. Colloquium Committee: Boris Belinskiy (Chair), Aniekan Ebiefung, Chris Mawata, Oloko Akintoye (student) Steve Xu
• b. Curriculum Committee: Betsy Darken, Stephen Kuhn (Chair), Chris Mawata, Ken Murphy (student), Ed Rozema, Gene Schlereth, Terry Walters
• c. Faculty Recruiting Committee: Stan Byrd, Boris Belinskiy, Billy Edwards, Ossama Saleh (Chair), Ron Smith
• d. Library Committee: Stan Byrd, Ossama Saleh, Ron Smith (Chair)
• e. Rank, Tenure, and Reappointment Committee: All tenured faculty; Boris Belinskiy was elected Chair
• f. Scheduling Committee: Pete Caithamer, Edward Rozema (Chair), Ossama Saleh, Ron Smith
• g. Student Relations Committee: Don Carson (Student), Billy Edwards, Aimee Ellington, Jim Kearney, Irene Loomis (Chair), Tracy Poole, Marti Wayland
• h. Technology Committee: Billy Edwards, Chris Mawata, Donald Rudder (Student), Terry Walters (Chair), Steve Xu
• i. Testing Committee: Mayme Kay Banasiak (Chair), John Gordon, Steve Kuhn, Edward Rozema
• j. Course Coordinator for Math 105 & 106: Mayme Kay Banasiak
• k. Course Coordinator for Math 123: Gene Schlereth
• l. Course Coordinator for Math 131: Ron Smith
• m. Course Coordinator for Math 136: Irene Loomis
• n. Course Coordinator for Math 144: Steve Xu
• o. Course Coordinator for Math 145: Stan Byrd
• p. Course Coordinator for Math 151 & 152: Stephen Kuhn
• q. Course Coordinator for Math 161& 162: Edward Rozema
• r. Course Coordinator for Math 210: Billy Edwards
• s. Course Coordinator for Math 212: Aniekan Ebiefung
• t. Course Coordinator for Math 245: Stan Byrd

University Committees:

• a. Academic Standards Committee: Chris Mawata
• b. Advisory Board for Womens Studies: Irene Loomis
• c. Athletics Committee (Chair): Billy Edwards
• d. Budget & Economic Status Committee: Ossama Saleh
• e. Departmental Honors Committee: Edward Rozema
• f. Faculty/Administrative Relations Committee: Gene Schlereth
• g. Faculty Council: Irene Loomis, Edward Rozema
• h. Faculty Development Grants Committee: Steve Kuhn, Ron Smith, T. Walters
• i. Faculty Rating of Administration Committee: Aniekan Ebiefung
• j. Faculty Research: Pete Caithamer, Jerry Dauer
• k. Grade Appeals Committee: Irene Loomis
• l. Library Committee: Stan Byrd, Betsy Darken
• m. Petitions Committee: Irene Loomis
• n. SACS Accreditation Library Subcommittee: Gene Schlereth
• o. SACS Committee on Institutional Effectiveness: Aniekan Ebiefung
• p. Speakers and Special Events Committee: Boris Belinskiy

The Department has several urgent needs that need to be addressed in order for it to continue to carry out its mission in the areas of teaching, research, and service. These are in the area of personnel as well as budget.

The Associate Head needs to be a twelve month half time position. The current situation where the Associate Head receives a one course release per semester in the Academic Year is not sufficient. There are many activities that the Department Head can and needs to do such as recruiting, fund raising, public relations and outreach, etc., which require additional time. If the Associate Head had a half time release each semester in the Academic year and taught one course in the Summer but was paid for two, then he or she could assume more of the operational responsibilities in the Department.

A Department as large as the Mathematics Department needs a second full time secretary. In addition to the large teaching load, the Mathematics Department at UTC is very active in research and service. The additional responsibilities associated with IRIS have only exacerbated the problem.

Additional release time for computer support personnel is desperately needed. One course per semester is not sufficient. The Help Desk provides some support, but the problems associated with maintaining the Department Computer Laboratory, ensuring that the software used in Calculus and our other courses is functioning properly, providing support for our more than 30 other computers and printers, and maintaining our server demands a major time commitment. In addition, there are no funds to provide computer support during the summers. Current Department computer support personnel donate their time in the summer to maintain the Lab and other equipment. This is unfair as well as unsatisfactory.

It almost goes without saying that the operating budget is inadequate. The reduction to the bi-weekly account has not been restored and as a consequence tutoring services in the Developmental Laboratory and the Computer Laboratory are insufficient to adequately serve the students. A regular and continuing program for updating faculty computers is needed. What progress is made each year is totally dependent on residuals in various lines at the end of the fiscal year or what indirect costs the Department has acquired from external funding of grants. Equipment needs for next year include a good quality color printer.