Eric Gottlieb | Associate Professor, Department Chair 2014-2015
Office: 317 Ohlendorf | Phone: (901) 843-3723 | Email: gottlieb@rhodes.edu

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Teaching 

I love teaching mathematics at all levels.  I favor the traditional lecture style of pedagogy, though I encourage my students to participate in classroom discussion.  I enjoy teaching math-phobic students and math majors equally.  It is just as important to me that students learn to appreciate the beauty and power of mathematics as it is that they learn the content we are studying.

Courses

Courses I have taught many times include Linear Methods, Calculus I, Calculus II, Combinatorics, and Abstract Algebra I and II.  Courses that I have taught less frequently include Applied Calculus, Differential Equations, Linear Algebra, Transition to Advanced Mathematics, Mathematical Probability and Statistics I and II, Discrete Structures for Computer Science, Automata Theory, and Senior Seminar.  I have taught Mathematical Programming and GRE Preparation as reading courses.  One semester, I taught a section of Applied Calculus in Spanish, and I taught Calculus II in Spanish twice during the year I spent in Chile.  I have supervised ten senior projects on a wide variety of subjects.

Research 

I am trained as an enumerative and algebraic combinatorialist.  Combinatorialists study finite sets.  Enumerative combinatorialists use mappings between two finite sets to establish relationships about their sizes.  Algebraic combinatorialists study finite sets that carry algebraic structure and look for mappings that supply information about size while respecting algebraic structure.  I am particularly interested in partially ordered sets.  I have also published in graph theory.  I am currently studying partial orders in the context of voting theory, fair division, and a combinatorial optimization problem that arises in experimental genetics.  I also have a recent interest in combinatorial game theory.

Outside the Classroom 

I am a native Floridian, as is my wife, Rebecca Terrell.  I enjoy camping, paddling, and hiking with my twin sons, Gus and Sam.  I often commute by bike or on foot.  I like doing small home improvement projects.  I play racquetball, chess, and go in my spare time.  I worked as a geologist at a small geophysical firm after college and before going to graduate school.


Education

B.S., Environmental Science/Geology, Antioch College
M.S., Mathematics, University of Washington
Ph.D., Mathematics, University of Miami


Courses
  • Computer Science 172 - DISCRETE STRUCTURES FOR COMPUTER SCIENCE
  • Mathematics 105 - TOPICS: APPLIED CALCULUS
  • Mathematics 107 - LINEAR METHODS
  • Mathematics 115 - APPLIED CALCULUS
  • Mathematics 121 - CALCULUS I
  • Mathematics 122 - CALCULUS II
  • Mathematics 201 - TRANSITION TO ADVANCED MATHEMATICS
  • Mathematics 251 - DIFFERENTIAL EQUATIONS
  • Mathematics 261 - LINEAR ALGEBRA
  • Mathematics 311 - MATH STATISTICS & PROBABILITY I
  • Mathematics 312 - MATH STATISTICS & PROBABILITY II
  • Mathematics 362 - ABSTRACT ALGEBRA
  • Mathematics 386 - JUNIOR SEMINAR
  • Mathematics 482 - COMBINATORICS
  • Mathematics 485 - SENIOR SEMINAR

Selected Publications

Inclusion-exclusion and the topology of partially ordered sets, in Resources for Teaching Discrete Mathematics, MAA Notes #74 (2008).

La formula de Euler: poliedros, grafos planares, y topologia. Revista del Instituto de Matematica y Fisica, Año 7, No. 11, 1-12.

(with K. Shelton) Color-induced subgraphs of Grünbaum colorings of triangulations of the sphere. Australasian Journal of Combinatorics 30, 183-192.

An EL-shelling of the nondecreasing partition lattice. Proceedings of the Thirty-Fourth Southeastern International Conference on Combinatorics, Graph Theory and Computing, Congressus Numerantium 162, 119-127.

On the homology of the h, k-equal Dowling lattice. SIAM Journal of Discrete Mathematics 17, 50-71.

Using integer programming to guide college admissions decisions: A preliminary report. The Journal of Computing in Small Colleges 17, 257-265.

(with M. Wachs) Cohomology of Dowling Lattices and Lie Superalgebras. Advances in Applied Mathematics 24, 301-336.