Dr. Mark Parker

About Dr. Mark Parker

Dr. Parker currently serves as the Associate Dean of Carroll College and is an Associate Professor of Mathematics, earning his Ph.D. from the University of Colorado. His interests include operations research, applied math, and finding ways to incorporate technology into teaching. During his free time, he enjoys family, hiking, cross-country skiing, and playing guitar.

Courses Taught: Mathematical Optimization, Operations Research, Multivariable Calculus, and Statistics.

Education

• PhD, in Applied Mathematics at the University of Colorado - Denver ,1995
• MS in Applied Mathematics at the University of Colorado - Denver, 1992
• BA in Mathematics/Computer Science at the University of Colorado - Denver, 1984

Professional Experience

• 2003 - Present Associate Professor of Mathematics
  Department of Mathematics, Engineering, and Computer Science, Carroll College in Helena, MT
• 2008 - 2009 Visiting Professor of Operations Research, Department of Management, United States Air Force Academy
  USAF Academy, CO
• 2000 - 2003 Assistant Professor of Mathematics
  Department of Mathematics, Engineering, and Computer Science, Carroll College in Helena, MT
• 1999-2000 Associate Professor of Mathematics and Operations Research
  Department of Mathematical Sciences, United States Air Force Academy, USAF Academy, CO
• 1997-1999 Assistant Professor of Mathematics and Operations Research
  Department of Mathematical Sciences, United States Air Force Academy, USAF Academy, CO
• 1995-1997 Assistant Professor of Mathematics and Computer Science
  Eastern Oregon University, La Grande, OR
• 1994-1995 Instructor of Mathematics
  Red Rocks Community College, Lakewood, CO
• 1984-1992 Senior Systems Analysis and Simulation Engineer
  Lockheed Martin Corp., Denver, CO

Research Interests

• Linear programming infeasibility analysis via irreducible infeasible subystems
• "Branch and Build" approaches to Integer Programming (branch and bound combined with column or constraint generation)
• Heuristics for Combinatorial Optimization
• Incorporating modeling and technology into the teaching of mathematics and operations research

Activities

• COMAP Mathematical Contest in Modeling
• Project NExT

Selected Publications

• "Student Surveys: What Do They Think?," with H. Zullo, K. Cline, R. Buckmire, J. George, K. Gurski, J. Larsen, B. Mellor, J. Oberweiser, D. Peterson, R. Spindler, A. Stewart, and C. Storm, in Teaching Mathematics with Classroom Voting: With and Without Clickers, MAA Notes Volume 79) edited by Kelly Cline and Holly Zullo, 2011.
• "Classroom Voting Questions that Provoke Teachable Moments in Differential Equations," with K. Cline, H. Zullo, J. George, W. Harris, A. Stewart, and C. Storm , in Teaching Mathematics with Classroom Voting: With and Without Clickers, MAA Notes Volume 79) edited by Kelly Cline and Holly Zullo, 2011.
• "Classroom Voting in Linear Algebra," with K. Cline and H. Zullo, ILAS IMAGE, Number 39, p. 11, 2007.
• "Using Classroom Voting in Mathematics Courses," with K. Cline and H. Zullo. Proceedings of the. 19th Annual International Conference on Technology in Collegiate Mathematics, pp. 35-39, 2007.
• "Teaching with Classroom Voting," with K. Cline and H. Zullo. FOCUS, Vol 27, Issue 5, May/June 2007.
• "How to Help Your Students Get the Most Out of the MCM and ICM," with K. Cline and H. Zullo, in FOCUS: The Newsletter of the Mathematical Association of America, Volume 26, Number 6, pp. 22-23, 2006.
• "Years of Good Advice," with P. Driscoll, J. Griggs, P. Boisen, W. Fox, M. Tortorella, and P. Campbell, in The MCM at 21: COMAP's Mathematical Contest in Modeling, Paul Cambell (ed), p. 27-34, 2005.
• "Judge's Commentary: The Outstanding Hurricane Evacuation Papers," in The UMAP Journal, Vol 22, No. 3, pp. 337-343, 2001.
• "The Mathematical Contest in Modeling: Success at a Small Regional University," with H. Zullo and N. Preyer, in PRIMUS, Vol IX, Number 4, pp. 289-300, 1999.
• "Cadets as Consultants - Operations Research at USAFA," with J. Lowe, in Mathematica Militaris, Vol 8, Issue 1, pp. 7-8, 1998.
• "Finding the Minimum Weight IIS Cover of an Infeasible System of Linear Inequalities," with J. Ryan, in Annals of Mathematics and Artificial Intelligence 17, pp. 107-126, 1996.
• "Coloring with Tabu Branch and Bound," with F. Glover and J. Ryan, in Cliques, Coloring, and Satisfiability: Second DIMACS Implementation Challenge, David S. Johnson and Michael A. Trick (eds.), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Volume 26, pp. 285-307, 1996.
• "A Set Covering Approach to Infeasibility Analysis of Linear Programming Problems and Related Issues," Poscript Ph.D. Dissertation, Mathematics Department, University of Colorado at Denver, 1995.
• "A Column Generation Algorithm for Bandwidth Packing," with J. Ryan, in Telecommunication Systems 2, pp. 185-195, 1994.
• "Path Assignment for Call Routing: An Application of Tabu Search," with C. Anderson, K. Fraughnaugh, and J. Ryan, in Annals of Operations Research 41, pp. 301-312, 1993.
• "Integrated Heuristic Search Procedures for Network Optimization," with J. Ryan and K. Fraughnaugh, Colorado Advanced Software Institute Report CASI-TR-93-02, 1993.
• "Tabu Search and Genetic Algorithms for Network Optimization," with J. Ryan and K. Fraughnaugh, Colorado Advanced Software Institute Report CASI-TR-92-04, 1992.

Professional Memberships

• INFORMS (Institute for Operations Research and Management Science)
• MAA (Mathematical Association of America)
• Omega Rho (Operations Research Honor Society)
• Pi Mu Epsilon (Mathematics Honor Society)