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April 2008
Curriculum Vitae
Mark Steven Gockenbach
Department of Mathematical Sciences
Michigan Technological University
Houghton, MI 49931
(906) 487-3083
msgocken@mtu.edu
Personal data: Born: 10 March 1963
Citizenship: U. S.
Marital status: married to Joan B. Gockenbach, ten children
Current position:
Professor and Chair
Department of Mathematical Sciences
Michigan Technological University, Houghton, MI
Research interests:
Inverse problems in partial differential equations
Numerical methods and software for large-scale optimization problems
Education:
PhD, MA Computational & Applied Mathematics, Rice University, 1994
ABD Mathematics, University of Illinois, 1990
MS Mathematics, Illinois State University, 1987
BS Mathematics/Computer Science, University of Illinois, 1985,magna cum laude
Professional Experience:
Chair, Department of Mathematical Sciences, Michigan TechnologicalUniversity, Houghton, MI
2007-
Interim Chair, Department of Mathematical Sciences, Michigan TechnologicalUniversity, Houghton, MI
2006-2007
Professor of Mathematical Sciences, Michigan TechnologicalUniversity, Houghton, MI 2006-
Interim Chair, Department of Mathematical Sciences, Michigan TechnologicalUniversity, Houghton, MI
Spring 2004
Associate Professor of Mathematical Sciences, Michigan TechnologicalUniversity, Houghton, MI
2001-2006
Assistant Professor of Mathematical Sciences, Michigan TechnologicalUniversity, Houghton, MI
1998-2001
Visiting Assistant Professor, Department of Computational and AppliedMathematics, and
Associate Director, The Rice Inversion Project, Rice University,Houston, TX 1998-1999
Assistant Professor of Mathematics, University of Michigan,Ann Arbor, MI 1995-1998
Postdoctoral fellow, Center for Research on Parallel Computation,Rice University, Houston, TX
1994-1995
Research Assistant, Computational & Applied Mathematics,Rice University, Houston, TX
1992-1994
Visiting Lecturer of Mathematics, ITM/MUCIA-Indiana University
Cooperative Program in Malaysia, 1990-1992
Teaching Assistant / Teaching Fellow, University of Illinois, Urbana, IL 1987-1990
Teaching Assistant, Illinois State University, Normal, IL 1985-1987
Refereed Publications:
- M. S. GOCKENBACH Numerical analysis of elliptic inverse
problems with interior data, to appear in Journal of Physics:
Conference Series (First International Congress of the International
Association of Inverse Problems), 2008.
- M. S. GOCKENBACH The output least-squares approach to
estimating Lamé moduli, Inverse Problems 23, 2437-2455, 2007.
- M. S. GOCKENBACH, A. A. KHAN
An abstract framework for elliptic inverse problems. Part 2: An
augmented Lagrangian approach, to appear in Mathematics and Mechanics
of Solids.
- M. S. GOCKENBACH, B. JADAMBA, A. A. KHAN
Equation error approach for elliptic inverse problems with an
application to the identification of Lamé parameters,
Inverse Problems in Science and Engineering, 16(3), 349-367, 2008.
- M. S. GOCKENBACH, A. A. KHAN
An abstract framework for elliptic inverse problems. Part 1: An output
least-squares approach, Mathematics and Mechanics of Solids, 12(3),
259-276, 2007.
- M. S. GOCKENBACH, B. JADAMBA, A. A. KHAN
Numerical estimation of discontinuous coefficients by the method
of equation error, International Journal of Mathematics
and Computer Science, 1(3), 343-359, 2006.
- M. S. GOCKENBACH, A.A. KHAN, A convex objective functional
for elliptic inverse problems, in Mathematical Models and
Methods for Real World Systems, K.M. Furuti, M.Z. Nashed, A.H. Siddiqi,
editors, Marcel Dekker, 2006.
- M. S. GOCKENBACH, A.A. KHAN, Identification of Lamé
parameters in linear elasticity: A fixed point approach,
Journal of Industrial and Management Optimization, 1(4), 487-497, 2005.
- M. S. GOCKENBACH, W. W. SYMES,
Adaptive Simulation, the Adjoint State Method, and Optimization, in
PDE-Constrained Optimization (Volume 30, Lecture Notes in Computational
Science and Engineering), L. T. Biegler, O. Ghattas, M. Heinkenschloss,
B. van Bloemen Wanders, editors, Springer-Verlag, 2003.
- MARK S. GOCKENBACH, DANIEL R. REYNOLDS, PENG SHEN,
WILLIAM W. SYMES Efficient and Automatic Implementation of
the Adjoint State Method, ACM Transactions on Mathematical Software,
28(1), 22-44, 2002.
- J. CHEN, M. S. GOCKENBACH
A variational method for recovering planar Lamé moduli,
Mathematics and Mechanics of Solids 7(2), 191-202, 2002.
- M. S. GOCKENBACH
A Primer on Differentiation, Optimization and Engineering 2,
75-129, 2001.
- M. S. GOCKENBACH, D. R. REYNOLDS, W. W. SYMES
Automatic Differentiation and the Adjoint State Method,
Automatic Differentiation 2000: From Simulation to Optimization,
George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët,
Uwe Naumann, editors, Springer-Verlag, 2002.
- M. S. GOCKENBACH, M. J. PETRO, W. W. SYMES
C++ classes for linking optimization with complex simulations,
ACM Transactions on Mathematical Software 25, no. 2, 191-212, 1999.
- M. S. GOCKENBACH, A. J. KEARSLEY
Optimal Signal Sets for Non-Gaussian Detectors,
SIAM Journal on Optimization 9, no. 2, 316-326, 1999.
- S. J. COX, M. S. GOCKENBACH
Recovering Planar Lamé Moduli From a Single Traction Experiment,
Mathematics and Mechanics of Solids 2, no. 3, 297-306, 1997.
- M. S. GOCKENBACH, W. W. SYMES
Duality for inverse problems in wave propagation, in Large-Scale
Optimization with Applications, Part I, Biegler et al., eds., Springer,
1997.
- M. S. GOCKENBACH, A. J. KEARSLEY, W. W. SYMES
An infeasible point method for minimizing the Lennard-Jones potential,
Computational Optimization and Applications 8, no. 3, 273-286, 1997.
- M. S. GOCKENBACH, W. W. SYMES
The Hilbert Class Library: a library of C++ classes for large-scale
optimization and inversion, Computers and Mathematics with Applications
32, no. 6, 1-13, 1996.
- M. S. GOCKENBACH, W. W. SYMES, R. A. TAPIA
The dual regularization approach to seismic velocity inversion,
Inverse Problems 11, no. 3, 501-531, 1995.
Books:
- MARK S. GOCKENBACH
Finite-Dimensional Linear Algebra, draft manuscript (511 pages)
submitted for review.
- MARK S. GOCKENBACH
Understanding and Implementing the Finite Element Method, the Society
for Industrial and Applied Mathematics, 2006.
- MARK S. GOCKENBACH
Partial Differential Equations: Analytical and Numerical Methods,
the Society for Industrial and Applied Mathematics, 2002.
Software:
- M. S. GOCKENBACH AND W. W. SYMES, ``The Hilbert Class Library,
Version 1.0'' (HCL1.0), 2000. Available under the GNU public library
license at
http://www.trip.caam.rice.edu/txt/hcldoc/html/index.html.
Other publications:
- M. S. GOCKENBACH
Understanding code generated by TAMC, Technical Report 00-30,
Department of Computational & Applied Mathematics, Rice University (2000).
- M. S. GOCKENBACH
An Overview of HCL1.0, Technical Report
TR 99-25, Department Computational & Applied Mathematics, Rice University
(1999).
- M. S. GOCKENBACH
Implementing Functionals in HCL, Technical Report
TR 99-24, Department Computational & Applied Mathematics, Rice University
(1999).
- M. S. GOCKENBACH
Implementing Nonlinear Operators in HCL, Technical Report
TR 99-22, Department Computational & Applied Mathematics, Rice University
(1999).
- M. S. GOCKENBACH, W. W. SYMES
Coherent Noise Suppression in Velocity Inversion, Technical Report
TR 99-08, Department Computational & Applied Mathematics, Rice University
(1999).
- M. S. GOCKENBACH, W. W. SYMES
Coherent Noise Suppression in Velocity Inversion
Expanded Abstract, Proc. 69th Annual International Meeting,
Society of Exploration Geophysicists, Tulsa, 1999.
- M. S. GOCKENBACH, W. W. SYMES
The Hilbert Class Library: a library of C++ classes for large-scale
optimization and inversion, Proceedings of the Fourth Annual
Object-Oriented Numerics Conference, 1996.
- M. S. GOCKENBACH, W. W. SYMES
Waveform inversion for velocity: where have all the minima gone?,
Expanded Abstract, Proc. 65th Annual International Meeting,
Society of Exploration Geophysicists, Tulsa, 1995.
- R. J. VERSTEEG, M. S. GOCKENBACH, M. KERN, W. W. SYMES
Shot level parallelization of a seismic inversion code using
PVM, Expanded Abstract, Proc. 64th Annual International Meeting,
Society of Exploration Geophysicists, Tulsa, 1994.
- PhD Thesis
An Abstract Analysis of Differential Semblance Optimization
(under direction of William W. Symes and Richard A. Tapia);
Available as Technical Report
TR 94-18, Department Computational & Applied Mathematics, Rice University
(1994).
Funded research:
- M. S. GOCKENBACH, Principal Investigator, The Rice Inversion
Project (TRIP) grant, Optimization, Adaptive Simulation, and
Parallelism, $30000, 9/2000-8/2001.
- M. S. GOCKENBACH, Principal Investigator, National Science
Foundation grant, Large-Scale Optimization:
Matrix-Free Algorithms, Data Parallelism, and Applications in Seismic
Inversion (DMS-9973308), $82908, 9/1999-8/2002.
Awards:
- Department of Mathematical Sciences award for outstanding teaching
(senior level), Michigan Technological University, 2005-2006.
- Department of Mathematical Sciences award for outstanding teaching
(senior level), Michigan Technological University, 2004-2005.
- Department of Mathematical Sciences award for outstanding
research (junior level), Michigan Technological University, 1999-2000.
- Department of Mathematical Sciences award for outstanding teaching
(junior level), Michigan Technological University, 1999-2000.
- Department of Mathematics award for outstanding teaching, University of
Illinois, Urbana, IL 1989
- Finalist for University-wide teaching award, University of
Illinois, Urbana, IL 1990
Graduate students
- PhD: Anatoli Andreev, Comparison of Numerical Methods
for Elliptic Inverse Problems, Department of Mathematical Sciences,
Michigan Technological University, 2006.
- PhD: Akhtar Khan, Numerical Methods for Elliptic Inverse
Problems with Interior Data, Department of Mathematical Sciences,
Michigan Technological University, 2005.
- MS: Erin Thomas, A Comparison of
and
convergence
for Finite Element Methods, Department of Mathematical Sciences,
Michigan Technological University, 2003.
- MS: Fei Wang, Distributed Classes for Optimization
Software: A Client/Server Approach, Department of Mathematical Sciences,
Michigan Technological University, 2001.
- MS: Jun Chen, A Variational Method for Recovering
Planar Lamé Moduli, Department of Mathematical Sciences,
Michigan Technological University, 2000.
Other graduate committees:
- Member, MS committee for Mike Graziano, Reducing Crane Payload
Swing Using a Rider Block Tagline Control System,
Department of Mechanical Engineering-Engineering Mechanics, Michigan
Technological University, 2007.
- Member, PhD committee for Adeeb Talafha, Inverse Scattering
Analysis of Multi-Soliton Solutions of the Three-Wave Interaction of
Long Rectangular Pulses, Department of Mathematical Sciences, Michigan
Technological University, 2006.
- Member, PhD committee for Sahar Alqaraleh, Variational principles
for linear and nonlinear mixtures: New derivations and application to
bilinear materials and yield behavior,
Department of Mathematical Sciences, Michigan Technological University, 2006.
- Member, PhD committee for Yong Sun, Optimization of die
geometry for polymer extrusion, Department of Mechanical
Engineering-Engineering Mechanics, Michigan Technological University, 2006.
- Member, MS committee for Yongliang Jin, Direct method to determine
the optimal riprap size for erosion protection in rivers, Department of
Civil and Environmental Engineering, Michigan Technological University, 2006.
- Member, MS committee for Albert Suckow, Unstructured surface
mesh generation through point cloud interpolation, Department of
Mechanical Engineering-Engineering Mechanics, Michigan Technological
University, 2005.
- Member, MS committee for Rajeev Kulkarni, Dynamic Wireless Resource
Allocation in Multi-vendor Environments: Performance Analysis in Code Division
Multiple Access (CDMA) Systems,
Department of Electrical and Computer Engineering,
Michigan Technological University, 2005.
- Member, MS committee for Ajit Vaze, Octree
Decomposition-Recomposition Approach to Rapid Manufacturing, Department of
Mechanical Engineering-Engineering Mechanics, Michigan Technological
University, 2005.
- Member, MS committee for Justin Priestman, Department of
Mathematical Sciences, Michigan Technological University, 2005.
- Member, MS committee for Ravi Shrestha, Direct solution to the
normal depth, Department of Civil and Environmental Engineering,
Michigan Technological University, 2005.
- Member, MS committee for Seetha Manickam,
Security enhancements at MAC level for emergency applications,
Department of Electrical and Computer Engineering,
Michigan Technological University, 2005.
- Member, MS committee for Ganesh Krishnakumar,
New transmit schemes and simplified receivers for MIMO wireless
communication systems, Department of Electrical and Computer Engineering,
Michigan Technological University, 2005.
- Member, MS committee for Srinivas Kuppa, Department of
Mathematical Sciences, Michigan Technological University, 2004.
- Member, MS committee for Srinivas Kuppa, Abstract State Machines:
A Formal Approach to Software Documentation, Department of Computer
Science, Michigan Technological University, 2003.
- Member, MS committee for Charlie Kiilunen, Department of
Mechanical Engineering-Engineering Mechanics, Michigan Technological
University, 2003.
- Member, MS committee for James Sheldon, Orientation Determination
from Optical Scattering Patterns Generated by Ellipsoids of Revolution,
Department of Mathematical Sciences,
Michigan Technological University, 2003.
- Member, MS committee for Kimberly Lauinger, Computing Transverse
-Designs, Department of Mathematical Sciences,
Michigan Technological University, 2003.
- Member, MS committee for John Casserino, Department of Humanities,
Michigan Technological University, 2003.
- Member, MS committee for William R. Case, Department of
Mathematical Sciences, Michigan Technological University, 2003.
- Member, MS committee for Jer Hong Chong, Dynamic behavior of
spacecraft formation flying using Coulomb forces, Department of
Mechanical Engineering-Engineering Mechanics, Michigan Technological
University, 2002.
- Member, MS committee for Anastasia Minaeva, Seismic
Attributes and Synthetic Seismograms, Wamsutter Field, WY, Department of
Geological Engineering and Sciences, Michigan Technological
University, 2001.
- Member, MS committee for Matthias Schabus, Damping of Multiple
Constrained Layers, Department of Mechanical Engineering and Engineering
Mechanics, Michigan Technological University, 2001.
- Member, MS committee for Markus Buehler, Homogenization of
Smart Material Cells for Topological Optimization, Department of
Mechanical Engineering and Engineering Mechanics, Michigan Technological
University, 2001.
- Member, MS committee for Rochelle Fischer, A Polling Scheme
Using an Automated Meter Reading System for Identifying System Conditions,
Department of Electrical
and Computer Engineering, Michigan Technological University, 2000.
- Member, PhD committee for Chih-jen Lin, Studies in Large-Scale
Optimization, Department of Industrial and Operations Engineering,
University of Michigan, 1998.
- Member, PhD committee for Barton Yeary, (Coupled Nonlinear
Schrödinger Equations), Department of Mathematics, University
of Michigan, 1997.
- Member, PhD committee for David Stuenkel, (Measurement of Dose
Equivalent Rate in Mixed Fast Neutron-Gamma Ray Fields using a Liquid
Scintillator),
Department of Nuclear Engineering, University of Michigan, 1997.
Presentations:
- Conference on Applied Inverse Problems 2007: Theoretical and
Computational Aspects, Vancouver, Canada, 27 June 2007.
Numerical Analysis of Elliptic Inverse Problems.
- Colloquium, Department of Mathematical Sciences, Michigan
Technological University, 12 February 2007. Numerical analysis
of elliptic inverse problems.
- Computational Science and Engineering Seminar, Michigan
Technological University, 17 February 2006.
Computational issues in elliptic inverse problems.
- Colloquium, Department of Mathematical Sciences, Michigan
Technological University, 6 February 2006. Inverse Problems
in Elasticity.
- SIAM Great Lakes Section, Spring Meeting 2004 (NUMPDES: Numerical
Solution of PDEs), 24 April 2004.
Invited talk: Elliptic inverse problems with interior data.
- St. Norbert College, Math Club, 11 February 2004. Talked about
graduate school and the graduate program at Michigan Tech.
- Michigan Undergraduate Mathematics Conference, 25 October 2003.
The graduate program at Michigan Tech.
- IMA Workshop: Optimization in Simulation Based Models, 16 January 2003.
The Standard Vector Library.
- Colloquium, Department of Mathematics, Taylor University,
31 October 2002. Boundary Control of the 1D Heat Equation.
- Colloquium, Department of Mathematics and Computer Science,
Hillsdale College, 30 October 2002.
Boundary Control of the 1D Heat Equation.
- Colloquium, Department of Mathematics and Computer Science,
Alma College, 29 October 2002.
Boundary Control of the 1D Heat Equation.
- Applied Math Seminar, Department of Mathematical Sciences, Michigan
Technological University, 17 April 2001.
Adaptive Simulation, the Adjoint State Method, and Optimization.
- First Sandia Workshop on Large-Scale PDE-Constrained Optimization,
Santa Fe, NM, 6 April 2001.
Adaptive Simulation, the Adjoint State Method, and Optimization.
- The Rice Inversion Project Annual Meeting, Houston, Texas, 10 November
2000. TRIP Projects at Michigan Tech.
- Argonne National Laboratory, working group on ``Next Generation
Optimization Software'', 16 October 2000.
An Overview of the Hilbert Class Library.
- AD2000: The 3rd International Conference on Automatic
Differentiation: From Simulation to Optimization,
Nice, France, 20 June 2000.
Automatic Differentiation and the Adjoint State Method.
- Applied Math Seminar, Department of Mathematical Sciences, Michigan
Technological University, 4 April 2000.
Efficient and automatic implementation of the adjoint state method.
- NUMPDES 2000: the Third Forum on Numerics and Modeling for Partial
Differential Equations, University of Michigan - Dearborn, 1 April 2000.
Efficient and Automatic Implementation of the Adjoint State Method.
- Department of Mathematics, Michigan State University,
29 March 2000.
Object-oriented programming for scientific computing: is it worth it?.
- "Emerging Computational Technologies", Department of Computational
and Applied Mathematics, Rice University, April 9, 1999.
HCL: linking large-scale optimization with complex simulations.
- HSEMB 99 (Houston Society for Engineering in Medicine and Biology),
Houston, February 12, 1999.
Material identification via biaxial testing.
- Department of Mathematics, Virginia Tech, February 11, 1998.
The Hilbert Class Library: Linking large-scale optimization with
complex simulations.
- Department of Mathematical Sciences, Montana State University,
February 6, 1998.
The Hilbert Class Library: Linking large-scale optimization with
complex simulations.
- Department of Mathematics and Statistics, Calvin College, February 4,
1998. The Hilbert Class Library: Linking large-scale optimization with
complex simulations.
- Department of Mathematics, Whitman College, January 30, 1998.
The Hilbert Class Library: Linking large-scale optimization with
complex simulations.
- Department of Mathematical Sciences, Michigan Technological University,
January 26, 1998.
The Hilbert Class Library: Linking large-scale optimization with
complex simulations.
- IBM Thomas J. Watson Research Center, August 19, 1997.
C++ classes for linking simulation and optimization.
- Fourth SIAM Conference on Mathematical and Computational Issues in the
Geosciences,
June 16-19, 1997, Albuquerque, NM. The Hilbert Class
Library: C++ classes for optimization.
- American Mathematical Society, Meeting of the Central Section,
Detroit, Michigan, May 2-4, 1997. Output Least-Squares Minimization
for Recovering Elastic Moduli in an Isotropic Membrane.
- Mechanical Engineering Seminar, University of Michigan, April 23, 1997.
Object-Oriented Programming in the design of Mathematical Software:
Why and How.
- American Mathematical Society, Meeting of the Western Section,
Corvallis, Oregon, April 19-20, 1997. Recovering spatially-varying
Lamé parameters from a traction experiment.
- Applied Mathematics Seminar, University of Michigan, April 7, 1997.
Recovering spatially-varying Lamé parameters from a traction
experiment.
- Workshop on object-oriented numerics and reproducible research in computational geophysics, Stanford University, June, 1996. Lectures on The
design and application of the Hilbert Class Library.
- The Fourth Annual Object-Oriented Numerics Conference, Mississippi
State University, March 27-29, 1996. The Hilbert Class Library:
a library of abstract C++ classes for optimization and inversion.
- Applied Mathematics Seminar, University of Michigan, March 11, 1996.
Duality for inverse problems in wave propagation: a simple example.
- The Rice Inversion Project Annual Meeting, Houston, Texas, August, 1995.
Object-oriented design for inversion software: a proposal.
- The Rice Inversion Project Annual Meeting, Houston, Texas, August, 1995.
Duality for seismic velocity inversion.
- Third SIAM Conference on Mathematical and Computational Issues in the
Geosciences,1995, San Antonio, Texas. Poster presentation on The use
of convex duality in seismic velocity inversion.
- Third SIAM Conference on Mathematical and Computational Issues in the
Geosciences,1995, San Antonio, Texas. Poster presentation on The dual
regularization method for seismic velocity inversion.
- The Fifteenth International Symposium on Mathematical Programming,
Ann Arbor, Michigan, August, 1994. Contributed presentation on
Seismic Velocity Inversion.
- The Rice Inversion Project Annual Meeting, Houston, Texas, July, 1994.
An Abstract Analysis of Differential Semblance Optimization.
- The Rice Inversion Project Annual Meeting, Houston, Texas, June, 1993.
Comparing objective functions for velocity inversion.
Teaching experience:
- Taught in The Merit Workshop at University of Illinois
(improving Calculus achievement by minorities)
- Used Calculus & Mathematica (a reform Calculus curriculum)
- Taught in University of Michigan Calculus Program (reform Calculus
using Harvard Curriculum)
- Taught undergraduate mathematics in Malaysia in ITM/MUCIA-Indiana
University program
- Use of technology:
- TI-82 Calculator and Mathematica for Calculus
- Matlab for Numerical Analysis and Partial Differential Equations
- Maple and Mathematica for Partial Differential Equations
- Directed several ``REUs'' (Research Experience for Undergraduates)
(summer 1994, summer 1997, 1997-98)
- Courses taught:
- Scientific Programming
- Numerical Methods for PDEs
- Numerical Optimization
- Discrete Optimization
- Ordinary Differential Equation and Dynamical Systems
- Continuum Mechanics and Partial Differential Equations
- Inverse Problems and Medical Imaging
- Finite Element Methods for Elliptic BVP
- Numerical Linear Algebra/Elliptic BVP
- BVP in Partial Differential Equations
- Introductory Numerical Analysis
- Ordinary Differential Equations
- Linear Algebra
- Calculus sequence
- Trigonometry
- Discrete Mathematics
Other professional activities:
- Review textbook on numerical partial differential equations
for CRC Press, 2008.
- Review book proposal on Matlab programming for Cambridge University
Press, 2007.
- Reviewed textbook on linear algebra for McGraw-Hill, 2007.
- Chair, Dean Search Committee, College of Sciences and Arts,
Michigan Technological University, 2007-08.
- Reviewed textbook on numerical methods for differential equations
for SIAM, 2006
- Reviewed textbook on numerical methods for differential equations
for Prentice-Hall, 2004
- Reviewed textbook on numerical analysis for the Prentice-Hall, 2000.
- Reviewed textbook on numerical methods for Wiley, 1999.
- Participant, First Annual Los Alamos Computer Science Institute
Symposium, Sante Fe, New Mexico, June 7-8, 1999.
- Refereed papers for:
- ACM Transactions on Mathematical Software
- Optimization and Engineering
- Inverse Problems
- Mathematics and Mechanics of Solids
- Physics Letters A
- SIAM Journal on Applied Mathematics
- Journal of Optimization Theory and Applications
- Mathematical Programming
- Refereed grant proposals for the National Science Foundation,
1998, 1999, 2000.
- Presented short course on Object-oriented programming and C++
for the Spend a Summer with a Scientist program (promoting careers
in mathematics and science for minority students) at Rice University, 1994.
- Served as faculty mentor for a Malay instructor, ITM/MUCIA-Indiana
University Cooperative Program in Malaysia, 1991-92.
- Chair, Committee to recognize excellence in teaching, Department
of Mathematics, University of Illinois, 1990.
Next: About this document ...
Mark Gockenbach
2008-04-30