Curriculum Vita


Li Zhang

Department of Mathematics & Computer Science
The Citadel,
Charleston, SC 29409
(843)953-5033 li.zhang@citadel.edu
Home: MSC 128, The Citadel,
Charleston, SC 29409
(843)723-4346

 

EDUCATION:

 

Ph.D., Applied Mathematics and Computational Science,  The University of Iowa, Iowa City, Iowa, 2004

 

M.C.S., Computer Science, The University of Iowa, Iowa City, Iowa, 2001

 

M.S., Mathematics, University of Southwestern Louisiana (present name University of Louisiana at Lafayette), Lafayette, Louisiana, 1998

 

B.S., Engineering,  Wuhan University of Technology (previou name Wuhan Jiaotong Keji University), Wuhan, China, 1993

 

 

TEACHING EXPERIENCE:

 

Calculus I: Limits, derivatives, applications of the derivative, antiderivatives and definite integrals.

 

Calculus II: Applications of the integral, transcendental functions, techniques of integration, series and sequences of real numbers, Taylor series, and power series.

 

Calculus III: The analytical geometry of two and three dimensions, the differential and integral calculus of functions of two or more variables, and vector differential calculus.

 

Linear Algebra: Systems of linear equations, algebra of matrices, inverses, determinants, vector spaces with emphasis on Euclidean vector spaces, bases, subspaces, transformations, eigenvalues and eigenvectors.

 

Applied Engineering Mathematics I: An integrated course in linear algebra and differential equations. Topics include differential equations of the first order and degree, linear differential equations of higher order, systems of differential equations, the Laplace transform, vector spaces, bases, linear transformations, systems of linear equations, algebra of matrices, and determinants.

 

Applied Engineering Mathematics II: Advanced topics in differential equations and multi-dimensional calculus. Topics include power series solutions of differential equations, line and surface integrals, Fourier series, vector integral calculus, special functions, and an introduction to partial differential equations.

 

Deterministic Methods of Operations Research: The theory and applications of deterministic models of operations research. Topics include linear programming and the simplex algorithm, transportation and assignment problems, graphs and network flows, dynamic programming, and sensitivity analysis.

 

Probabilistic Methods of Operations Research: The theory and applications of probabilistic models of operations research. Topics include game theory, decision analysis, stochastic process, Markov chains, queuing models, birth and death processes, inventory theory, and simulation.

 

Applied Operations Research: An introduction to the application of quantitative techniques to the managerial decision-making process. The major mathematical models associated with operations research are presented. The course is applications oriented, and the model building process is emphasized. Excel spread sheet is used to solve most applications in optimization.

 

Mathematical Modeling: An introduction to the theory and practice of building and analyzing mathematical models for real world situations encountered in the social, biological, and environmental sciences.

 

Introduction to probability and statistics: An introduction to probability and statistical concepts. Topics include frequency distributions, measures of central tendency and dispersion, probability rules, probability distributions, sampling distributions, hypothesis testing, analysis of variance, correlation, and regression.

 

Elementary Mathematical Modeling: A service course where students will use graphs, functions, and tables to describe data and use mathematical models to interpolate and extrapolate.

 

Applied Calculus I: An introduction to differential and integral calculus of polynomials, exponential, and logarithmic functions with an emphasis on applications to business and the life and social sciences.

 

Finite Mathematics: A service course where students learn mathematics of finance, counting methods, probability, and statistics.

 

College Algebra: A service course where students study precalculus and trigonometry.

 

RESEARCH INTERESTS:

 

Network design problems in operations research

 

Operations research

 

Discrete math

 

 

PUBLICATIONS:

 

“The p-hub center allocation problem”, joint with A. Campbell and T. Lowe, European Journal of Operational Research, 176, page 819 – 835, 2007.

 

“Upgrading Arcs to Minimize the Maximum Travel Time in a Network”, joint with A. Campbell and T. Lowe, Networks, page 72 – 80, 2006.

 

“The Partner Selection Model for Collaborative Product Commerce System”, joint with Zhiguang Zhu, The Proceedings of the 2nd International Symposium on Management, Engineering and Informatics, page 293 – 297, Orlando, Florida, 2006.

 

“The Capacitated p-Hub Center Multiple Allocation Problem”. The Proceedings of the 5th  Hawaii International Conference on Statistics, Mathematics and Related Fields, page 1728 – 1737, Honolulu, Hawaii, 2006.

 

“Upgrading Arc Problem with Budget Constraint”. The Proceedings of  

      the 43rd ACMSE, page 150 – 152, volume 1, Kennesaw, Georgia, 2005.

 

    

PRESENTATIONS:

 

“The Partner Selection Model for Collaborative Product Commerce System”. The 2nd International Symposium on Management, Engineering and Informatics, Orlando, Florida, 2006.

 

“The Capacitated p-Hub Center Multiple Allocation Problem”. The 5th  Hawaii International Conference on Statistics, Mathematics and Related Fields, Honolulu, Hawaii, January, 2006.

 

“Upgrading Arc Problem with Budget Constraint.” The 43rd ACMSE (Annual Association for computing machinery Southeast) conference, Kennesaw, GA, March 2005.

 

“The p-Hub Center Problems in the Allocation Phase.” INFORMS (Institute for Operations Research and Management Science) conference, Atlanta, GA, October 2003.

 

GRANTS AND HONORS:

 

Research Grant: The Citadel, July, 2007 – June, 2008.

 

Data Analysis on Homeland Security Workshop: Selected to attend and obtain travel support, Rutgers University, New Jersey, July 29 – August 4, 2007.

 

Presentation Grant: The Citadel, July, 2006.

 

Developmental Grant: The Citadel, March, 2006.

 

Presentation Grant: The Citadel, January, 2006.

 

Presentation Grant: The Citadel, March, 2005.

 

New Faculty Research Grant: The Citadel, October, 2004 – June, 2005.

 

IMA Summer Program in Combinatorics and its Applications: Selected to attend IMA (Institute for Mathematics and its Application), Atlanta, GA, Summer, 2003.

 

 

PROFESSIONAL MEMBERSHIPS:

 

Institute for Operations Research and the Management Sciences

American Mathematical Society