August 8, 2006
James Angelos
Professor
Department of Mathematics
Central Michigan University
Personal
- Office: Pearce 214
- Phone: (989) 774-3596
- E-mail: james.angelos@cmich.edu
Education
- Ph. D. Mathematics: June 1982, Montana State University, Bozeman, Montana
- Attended: Oakland University, Rochester, Michigan, August 1980 to May 1981
- M. S. Mathematics: June 1978, Montana State University, Bozeman, Montana
- B. S. Mathematics: December 1975, University of South Dakota, Vermillion,South Dakota
- My specialization is in approximation theory, which was my dissertation
topic. In recent years I have worked in applied numerical analysis,
discrete dynamical systems, matrix theory, and polymer rheology. I have also done
work in the developing curriculum of calculus reform.
Employment History
- Professor August 1993 to present, Central Michigan University
- Associate Professor August 1987 to August 1993, Central Michigan University
- Visiting Associate Professor August 1988 to June 1989, Western Michigan University
- Assistant Professor August 1982 to August 1987, Central Michigan University
- Graduate Teaching Assistant:March 1976 - August 1980, September 1981 - June 1982, Montana State University
- Graduate Teaching Assistant August 1980 to May 1981, Oakland University
Teaching Experience
- Have taught a variety of courses.
Elementary Algebra | College Algebra | Discrete Mathematics |
Trigonometry | Precalculus | Calculus |
Introduction to Statistics | Linear Algebra | Differential Equations |
Numerical Analysis | Applied Mathematics | Advanced Calculus |
Optimization Theory | Real Variables | Theoretical Numerical Analysis |
Mathematical Statistics | Point-Set Topology | Fourier Analysis |
Creative and Scholarly Activity
A. Research Publications
- J. R. Angelos and D. Schmidt, Some remarks on product approximations, in
Multivariate Approximation Theory, (W. Schemp and K. Zeller, Eds), 27-35,
Birkhäuser, Berlin, 1982.
- J. R. Angelos and D. Schmidt, Strong uniqueness in L1(X, &Sigma, &mu), in Approximation Theory IV,
(C. Chui, L. Schumaker, and J. Ward, Eds), 297-302, Academic Press, New York, 1983.
- J. R. Angelos and A. Egger, Strong uniqueness in Lp spaces, J. Approx.
Theory, 42(1984), 14-26.
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., and T. D. Lenker, Local Lipschitz
constants, J. Approx. Theory, 43(1985), 53-63.
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., A. Kroó, and T. D. Lenker, On the
continuity and differentiability of the best approximation operator,
Colloquia Mathematica Societatis János Bolyai, 49, Alfred Haar Memorial
Conference, (J. Szabados and K. Tandori, eds.), 127-144, North-Holland Publishing
Company, New York, 1985.
- J. R. Angelos and A. Kroó, The equivalence of the moduli of continuity of the best
approximation operator and strong unicity in L1, J. Approx. Theory, 46
(1986), 129-136.
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., A. Kroó, and T. D. Lenker, Local and
global Lipschitz constants, J. Approx. Theory, 46(1986), 137-156.
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., A. Kroó, and T. D. Lenker, Local
Lipschitz and strong unicity constants for certain nonlinear families, in
Approximation Theory V, (C. Chui, L. Schumaker, and J. Ward, Eds.), 239-242,
Academic Press, New York, 1986.
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., and T. D. Lenker, Extended Lipschitz
constants, in Approximation Theory V, (C. Chui, L. Schumaker, J. Ward, Eds.),
243-246, Academic Press, New York, 1986.
- J. R. Angelos and D. Schmidt, The prevalence of strong uniqueness in L1, Acta
Math. Acad. Sci. Hungar., 52(1988), 83-90.
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., and T. D. Lenker, Optimal nodes for
polynomial interpolation, in Approximation Theory VI, (C. K. Chui, L. L. Schumaker,
J. D. Ward Eds.),17-20, Academic Press, New York, 1989
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., A. Kroó, and T. D. Lenker, Local Lipschitz and
strong unicity constants for certain nonlinear families, J. Approx. Theory,
58(1989) 164-183.
- J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., and T. D. Lenker, Bounds for extended
Lipschitz constants, Acta Math. Acad. Sci. Hungar., 58(1991) 81-93.
- J. R. Angelos, C. M.-S. Lee, K. P. Singh, B-spline approximation for the baseline
hazard function, Evironmetrics, 2 (1991) 323-330.
- J. R. Angelos, C. C. Cowen, S. K. Narayan, Triangular truncation and finding
the norm of a Hadamard multiplier, Linear Algebra and Its Applications, 170
(1992), 117-135.
- J. R. Angelos, G. Grossman, and L. Rakesh, Oldroyd's viscosity result extended
to circular disc particles dispersed in Newtonian fluids, Macromolecules, 25
(1992), 6475-6479.
- J. R. Angelos, S. Chowdhury, G. Grossman, K. Nichols, and L. Rakesh,
A Study of Dynamic Behavior of Polycarbonate Melt With and Without Fillers,
Included in the proceedings of Symposium on Developments in Non-Newtonian Flows I, Winter Meeting of
American Society of Mechanical Engineers in New Orleans, Louisiana,
November 29-December 3, 1993.
- J. R. Angelos,L. Rakesh, M. Butler, G. Grossman, and S. Hirschi,
Using the Modified Haake Rotovisco RV 21 to Assess Electrorheological
Properties, Included in the proceedings of Symposium of Electrorheological
Fluids, American Society of Mechanical Engineers in Chicago, Illinois,
November 6-11, 1994.
- J. R. Angelos, G. Grossman, and L. Rakesh, Boundary Layer Analysis of
Wall Slip, Included in the proceedings of Symposium on Non-Newtonian
Flows, American Society of Mechanical Engineers in New Orleans, Louisiana,
November 29-December 3, 1993.
- J. R. Angelos, G. Grossman, Y. Ionin, E. Kaufman, T. Lenker, and L. Rakesh,
Packability of Five Spheres on a Sphere Implies Packability of Six,
The American Mathematical Monthly, 103, (1996) 894-896.
- J. R. Angelos, G. Grossman, E. Kaufman, T. Lenker, and L. Rakesh, Limit Cycles for
Successive Projections on Hyperplanes in IRn,
Linear Algebra and Its Applications, 285, (1998)
201-228.
- Z. Al-Sharawi, J. R. Angelos, S. Elaydi, L. Rakesh, An Extension of Sharkovsky's theorem
to periodic difference equations, Journal of Mathematical Analysis and Applications,
316 (2006) 129-141.
- Z. Al-Sharawi, J. R. Angelos, On the periodic logistic equation, Applied Mathematics and
Computation, 180, (2006) 342-352.
- Z. Al-Sharawi, J. R. Angelos, S. Elaydi, Existence and Stability of Periodic Orbits of
Periodic Difference Equations with Delays, The International Journal of Bifurcation and Chaos,
18, (2008) 203-217
- Z. Al-Sharawi, J. R. Angelos, Linear Almost Periodic Difference Equations, Journal of
Computational Mathematics and Optimization , submitted.
B. Other Publications
- Graphing Calculator Supplement for Algebra and Trigonometry, Second
Edition by T. H. Hungerford and R. Mercer, Saunders College Publishing, 1991.
- Solving Algebra & Trigonometry Problems with the aid of Graphing Calculators,
a supplement to Algebra & Trigonometry, Second Edition, by S.
Grossman, Saunders College Publishing, 1992.
- Graphing calculator exercises and Appendix V for Calculus, Third
Edition, by D. Berkey and P. Blanchard, Saunders College Publishing, 1992.
C. Presentations
- J. R. Angelos and A. Egger, "Strong Unicity in Lp Spaces,"
Approximation Theory Workshop, Montana State,University, August 8, 1981.
- J. R. Angelos, and D. Schmidt, "Strong Uniqueness in L1(X, &Sigma, &mu)," Fourth International Symposium on
Approximation Theory, Texas A & M University, January 12, 1983.
- J. R. Angelos and A. Egger, "Strong Uniqueness in Lp- Approximation,"
Mathematics Colloquium, Katolische Universität Eichstätt,
Eichstätt, West Germany, June 15, 1983.
- J. R. Angelos, M. Henry, E. Kaufman, A. Kroó, T. Lenker, "On the Continuity
and Differentiability of the Best Approximation Operator," Alfred Haar Memorial Conference, Budapest,
Hungary, August 12, 1985.
- J. R. Angelos, M. Henry, E. Kaufman, Kroó, T. Lenker,"Local Lipschitz and
Strong Unicity Constants for Certain Nonlinear Families," Fifth
International Symposium on Approximation Theory, Texas A & M
University, January 15, 1986.
- J. R. Angelos, M. Henry, E. Kaufman, Kroó, T. Lenker "The
Differentiability of the Best Approximation Operator." Mathematics
and Statistics Colloquium, Western Michigan University, Kalamazoo,
Michigan, October 6, 1988.
- J. R. Angelos, M. Henry, E. Kaufman, T. Lenker, "Optimal Nodes for
Polynomial Interpolation", Sixth International Symposium on
Approximation Theory, Texas A & M University, January 12, 1989.
- J. R. Angelos, G. Grossman, L. Rakesh, "Effects of Wall Slip During
Rheological Measurements on Concentrated Polymers", International
Conference on Industrial and Applied Mathematics, Washington, D.C.,
July 11, 1991.
- J. R. Angelos, "Calculus Reform: What to expect in the Future?" Colloquium,
Department of Mathematics and Computer Science, Alma College, Alma,
Michigan, February 6, 1992.
- J. R. Angelos, "The Applications and Computations of Nonlinear Approximation in Polymer Rheology"
Colloquium on Approximation Theory, Department of Mathematics, The University of
Michigan - Flint, Flint, Michigan, May 26, 1992.
- J. R. Angelos "CMET Capstone Scholars Program", Michigan Section - MAA
& MichMATYC, Saginaw Valley State Univeristy, University Center, Michigan,
May 3, 2003.
Grants and Contracts
- Professional Growth Appointment Awards, Department of
Mathematics, Central Michigan University, (1982, 1983, 1985, 1986).
- Faculty Research and Creative Endeavors Grants, (#4-22710, $650, October 1985),
(#4-22779, $333.50, March 1986, #42481, $379, March 1989).
- Research Excellence Fund Grant #62871 for $200,000. Title: Polymer Rheology and Fluid
Dynamics. Jointly with Leela Rakesh of the Department of Mathematics, and
Stanley Hirschi and Didarul Islam of the Department of Physics.
- Dow Chemical Company Grant #63681, to conduct research on Rheological Properties of
Filled Polymer Melts. This consists of $15,000 matching gift contribution for
laboratory equipment and $12,000 for tuition, stipend, and fees for graduate
student support. Jointly with Leela Rakesh and George Grossman of the
Department of Mathematics and Stanley Hirschi of the Department of Physics.
- Research Excellence Fund Grant for $55,250. Title: Experimental Investigation and
Mathematical Simulation of Discrete Relaxation and Time-Temperature Superposition
Techniques from Steady and Dynamic Mechanical Data. Jointly with George Grossman,
Edwin Kaufman, and Leela Rakesh of the Department of Mathematics and Stanley Hirschi
of the Department of Physics.
- Research Excellence Fund Grant for $86,260. Title: Synthesis,
Characterization, and
Computer-Aided Stability and Rheological Analysis
of Vinylidene Chloride Copolymers of Improved Processing Characteristics.
Jointly with B. Howell, Department of Chemistry, S. Hirschi, Department
of Physics, and L. Rakesh, Department of Mathmatics.
- Research Excellence Fund Grant for $35,840. Title: Polymeric Materials
Science and Technology Institute. Jointly with B. Howell, D. Mohanty,
Department of Chemistry, S. Hirschi, Department of Physics, L. Rakesh,
Department of Mathmatics, and L. Fryda, Department of Industrial Engineering
and Technology.
- National Science Foundation Computer Science, Engineering, and Mathematics
Scholarships Program, $269,992, "Computing, Mathematics, and Engineering
Technology Capstone Scholars Program."PI: Richard J. St. Andre, Co-PI:
David Williams, Dru Wilson, James Angelos, Michael C. Stinson,
December 27, 2000.
- National Science Foundation Computer Science, Engineering, and Mathematics
Scholarships Program, $398,144, "Computing, Mathematics, and Engineering
Technology Capstone Scholars Program."PI: James Angelos, Co-PI:
Dru Wilson, Donald Marks, Submitted: February 5, 2003. Not Funded.
- National Science Foundation Computer Science, Engineering, and Mathematics
Scholarships Program, $398,140, "Computing, Mathematics, and Engineering
Technology Capstone Scholars Program."PI: James Angelos, Co-PI:
Dru Wilson, Michael Stinson, Submitted: January 28, 2004. Not Funded
Other Professional Activities
A. Curriculum Workshops and Presentations
- J. R. Angelos, "Using the HP-28S to Teach Elementary
Differentiation", Technological and Curricular Experiments in Calculus,
The Eberhard Center of Grand Valley State University, Grand Rapids,
Michigan, February 3, 1990.
- J. R. Angelos, "Motivating the Differentiation Rules", Conference
on Technology focusing on Graphing and Programmable Calculators in
Mathematics, Marriott Astrodome, Houston, Texas, Sponsored by San
Jacinto College, June 21, 1991.
- J. R. Angelos, Workshop: "Using the HP-48SX in Calculus", College Mathematics: Teaching,
Technology, and Applications, The Eberhard Center of Grand Valley State University,
Grand Rapids, Michigan, March 20, 1992.
- J. R. Angelos, "Calculus Laboratory Activities", Conference on Technology focusing on
Graphing and Programmable Calculators in Mathematics, Hotel Sofitel,
Houston, Texas, Sponsored by San Jacinto College, July 25, 1992.
- J. R. Angelos,"Introducing Multivariate Calculus Early in the Curriculum", Conference on Technology focusing on
Graphing and Programmable Calculators in Mathematics, Hotel Sofitel,
Houston, Texas, Sponsored by San Jacinto College, July 23, 1993.
B. Attendance at Conferences and Workshops
- Approximation Theory Workshop, Montana State University, July
27-August 3, 1981.
- Fourth International Symposium on Approximation Theory, Texas A & M University,
January 10-14, 1983.
- The Alfred Haar Memorial Conference, Budapest, Hungary, August
11-17, 1985.
- Fifth International Symposium on Approximation Theory, Texas A & M University,
January 13-17, 1986.
- Mathematical Association of America annual meeting, Michigan Section, 1986-1991.
- Sixth International Symposium on Approximation Theory, Texas A & M
University, January 9-13, 1989.
- Annual Conference on Technology in Collegiate Mathematics, The Ohio State University,
November 3-5, 1989 and November 9-11, 1990.
- Maple Workshop, presented by Professor J. S. Devitt, University of Saskatchewan,
held at the Department of Mathematics and Statistics, Western Michigan
University, Kalamazoo Michigan, November 18-19, 1990.
- Technological and Curricular Experiments in Calculus, The Eberhard Center of Grand
Valley State University, Grand Rapids, Michigan, February 3, 1990.
- Multigrid Short Course, University of Colorado at Denver, March
25-29, 1991.
- Conference on Technology focusing on Graphing and Programmable Calculators in
Mathematics, Houston Texas, June 21-22, 1991.
- International Conference on Industrial and Applied Mathematics, Washington, D.C.,
July 8-12, 1991.
- Symposium of Matrix Analysis and Applications, Western Michigan University,
Kalamazoo, Michigan, October 11-12, 1991.
- College Mathematics: Teaching, Technology, and Applications, The Eberhard Center of
Grand Valley State University, Grand Rapids, Michigan, March 20-21, 1992
- Conference on Technology focusing on Graphing and Programmable Calculators in
Mathematics, Houston Texas, July 24-25, 1992.
- Conference on Technology focusing on Graphing and Programmable Calculators in
Mathematics, Houston, Texas, July 23-24, 1993.
- Project Kaleidoscope Regional Colloquium: Revitalizing Introductory Science
and Mathematics Courses, Beloit College, Beloit, Wisconsin, August 5-7, 1994.
- Eighth International Symposium on Approximation Theory, Texas A & M
University, January 8-12,1995.
- Teaching Mathematics with Technology Institute, CAS-CALC
Session, Central Michiagn Univeristy, August 10-15, 1997
- Ninth International Symposium on Approximation Theory,
Vanderbilt University, January 3-6, 1998.
- Michigan Mathematics Summit, Oakland University, June 2000.
- Michigan Section - MAA & MichMAYTYC annual meeting, Saginaw
Valley State University, May 2-3, 2003.
- Principal Investigators for the CSEMS Meeting, Arlington, Virginia,
September 11-13, 2003.
- American Mathematics Society Joint Meetings, Phoenix, Arizona, January 7--10, 2004.
- Michigan Section - MAA \& MichMAYTYC annual meeting, Oakland Univeristy, May 7-8, 2004.
- Michigan Section - MAA \& MichMAYTYC annual meeting, Alma College, April 29-30, 2005.
- American Mathematics Society Joint Meetings, San Antonio, Texas, January 12--15, 2006.
C. Department Colloquia
- "Strong Unicity with Approximation", December 2, 1982.
- "Continuity Properties of the Best Approximation Operator", September 29, 1985.
- "Some Problems on Spline Projections", November 16, 1989.
- "The Visualization of Calculus", September 16, 1993.
- "Multivariate Approximation: A sublime Curse", April, 2002.
D. Graduate Student Seminars
- "Methods of Best Approximation", February 9, 1987.
- "Interpolation", October 17, 1989.
- "Maple Basics", October 20, 1992.
- "Alternating Projections, Fixed Points, and Regular Polygons", October 5, 1993.
- "Wavelets", December 6, 1994
E. Refereeing
- Five papers for The American Mathematical Monthly.
- One paper for the Proceedings of American Mathematical Society.
- Four papers for the Journal of Approximation Theory.
- Two papers for the Proceedings of the First Great Lakes Computer Science Conference.
- One paper for Utilitas Mathematica.
- One paper for Aequationes Mathematicae.
- One paper for Computers & Mathematics with Applications
- Submitted abstracts of four of my papers to Zentralblatt für
Mathematic.
F. Reviewing
- General review of Applied Mathematics for the Management,
Life and Social Sciences by Lawrence Spence and Charles Vanden Eynden,
Scott, Foresman and Company, 1985.
- Review of prospectus for a calculus project for Scott, Foresman and Company.
- General review of chapters 1-10 of Calculus with Analytic Geometry by R. Ellis and D. Gullick,
fifth edition, Saunders HBJ, 1992.
- General review of chapters 6-11 of Calculus, by Larson, Hostetler, and Edwards, fifth edition, D. C. Heath, 1992.
- Review of prospectus of numerical analysis text for Harper Collins.
- Review of Insights into Calculus: Calculus Projects Using the
TI-82 or TI-85 for Harper Collins.
- Review of Chapters 1-5 of Calculus: Mathematics and Modeling, by Bauldry, et. al. for Addison Wesley.
G. Membership in Professional Organizations
Memberships in the American Mathematical Society, Society for Industrial and Applied
Mathematics, and Mathematical Association of America and an associate member of Sigma Xi.
University Service.
Service
A. Department Committees
- Interim Department Chair, 2005-Present.
- Executive Committee, 1986-1988, 1997-2005, served as Executive Assistant.
- Graduate Committee, 1982-1988, 1995-1997, served as
graduate coordinator.
- Search Committee for new chairperson, 1996-1997, served
as chairperson of this committee.
- Hiring Committee, 1983-1984, 1990-1991, 1992 to present.
- Personnel Committee, 1984-1986, 1995-1996, 2005 to present.
- Service Area Coordinator, 1986-1988.
- Ad Hoc Grievance Policy Committee, 1982-1983.
- Ad Hoc Chairman Review Committee, 1985-1986.
B. College Committees
- Technology Committee 2003-Present.
- College Personnel Committee 2005-Present.
C. University Committees
- Degrees, Admissions, Standards, and Honors Committee, 1984-1986. Served as vice-chairman, 1985-1986.
- Undergraduate Curriculum Committee, 1991-1993.
- Doctoral Dissertation Research Support Committee, 1995-1999, Chaired by William Miles.
- Graduate Policies Committee, Ad Hoc, Fall 1997, Chaired by Gail Scukanec
- Doctoral Transfer Credit Policy Committee, Ad Hoc, Fall 1997, Chaired by Kirsten Fleming
- Appointed to Formal Hearing Committee by the University Senate Greivance Review Committee, February 14, 2001. Chaired by Paul Natke, Department of Economics.
D. Professional Service
- Steering Committee of the Michigan Calculus Network,
1988-1992. Served as chairman 1989-1991. This is a standing committee of
the Michigan Section of the Mathematical Association of America.
- Served as a judge of the Chalk Talk Derby at the 26th Annual Math
Field Day, Tuesday, February 23, 1993 at the University of Michigan-Flint.
- Attended the Michigan Mathematics Summit, Oakland University, June 9-10, 2000.
Meeting of department chairpersons from 11 of 15 state universities to discuss
common problems and solutions. Held in conjunction with the college of arts and
sciences deans from the same universities.
E. Other
Sabbatical
One year sabbatical at Western Michigan University, Kalamazoo, Michigan, August 1988 to April 1989. Studied spline analysis
with Professor Dennis Pence.
Dissertation, Thesis , Plan B paper Direction
Dissertation, Thesis direction
Nancy Grant, "Orthogonal Collocation and its application to carrier-facilitated
diffusion", Master's Thesis, November, 1991.
Ziyad Al-Sharawi, "Periodic Discrete Dynamical Systems", Doctoral Dissertation, May, 2006.
Plan B Papers
Roufei Hau, "Methods for Fast Matrix Multiplication", May 1987.
Tammy S. Neitzke, "Curvature Comparison of Fritsch-Carlson and Beatson-
Wolkowicz Cubic Polynomial Interpolants", July 1994.
Dissertation/Thesis Committees
Served on doctoral dissertation committees:
- Thomas Sprague, "Shape Preserving Piecewise Cubic Interpolation",
Western Michigan University, August, 1990.
- Kevin Dennis, "Co-Hyponoumality of Composition Operators on the Hardy Space",
Central Michigan University, March 31, 2000
- Carol Seaman, "Students' Use of Spatial Visualization with the Aid of
Technology in the Learning of Three-Dimensional Calculus Concepts",
July, 2000.
- Mark Bollman, "Some Diophantine Equtions Involving Fibonacci Numbers
and Consecutive Factorials", August 2001.
- Edris Rawashdeh, "Numerical Solutions, Stability Criteria and
Applications of Integro-Differential Equtions", October 2002.
- Marwan Alquran, "Analytical and Numerical Solution to Continuous Delay
Partial Differential Equations", May 2003.
- Animesh Sarker, ``Compact and Hilbert-Schmidt Weighted Composition Operators
on the Hardy Space", March 2008.
- Palramani Karthikeyan, ``Compact and Hilbert-Schmidt Weighted Composition Operators
on the Bergman Space", March 2008.
- Served on numerous master thesis committees.
-
Home