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Faculty and Staff

Rebecca Hillman

Title: Professor of Mathematics
Department: Division of Science, Mathematics and Engineering
USC Sumter
Email: hillmanr@uscsumter.edu
Phone: 803-938-3885
Office:

Schwartz Building, Room 134

Resources: Merit Page
profile

Teaches or has taught the following courses

Math 111-I Intensive Basic College Mathematics (Slower Paced)
Math 111 Basic College Mathematics
Math 115 Precalculus
Math 141 Calculus I
Math 221 Basic Concepts of Elementary Ed. Math I
Math 233 Geometry & Measurement - Elementary Ed. Math III

Education

PhD, North Carolina State University, 2005
MS, North Carolina State University, 2003
BS, Coastal Carolina University, 2000
AS, Corning Community College, 1998

Publications

“The Brocard-Ramanujan Diophantine Equation”, Accepted for publication (3/2017) in Advanced Studies in Contemporary Mathematics (ASCM). Coauthored with J.V Leyendekkers and Anthony G. Shannon.

“Higher Order Boustrophedon Transforms for Certain Well-Known Sequences”, The Fibonacci Quarterly, Vol.55, No.3, August 2017. Coauthored with Charles K. Cook and Michael R. Bacon.

“Arbitrary Order Recursive Sequences and Associated Continued Fractions”, Journal of Advances in Mathematics (JAM), Vol 13, No 2, ISSN 2347-1921, p.7147-7154, April 2017. Coauthored with Anthony G. Shannon and Charles K. Cook.

“An Extension of Some Results Due to Jarden”, Journal of Advances in Mathematics, (JAM), Vol 9, No 8, ISSN 2347-1921, p.2937-2945, January 7, 2015. Coauthored with Anthony G. Shannon and Charles K. Cook.

“Some Aspects of Fibonacci Polynomial Conguences”, Proceedings of the Fifteenth International Conference on Fibonacci Numbers and Their Applications, Annales Mathematicae et Informaticae, Vol 41, 2013, p.211-217, June 2013 (http://ami.ektf.hu/index.php?vol=41). Coauthored with Anthony G. Shannon and Charles K. Cook.

“Some Specific Binet Forms for Higher-Dimensional Jacobsthal and Other Recurrence Relations”, Proceedings of the Fourteenth International Conference on Fibonacci Numbers and Their Applications, August 2011. Coauthored with Charles K. Cook, Michael R. Bacon, and Gerald E. Bergum.

"The 'Magicness' of Powers of Some Magic Squares", The Fibonacci Quarterly, Vol. 48, No. 4, November 2010. Coauthored with Charles K. Cook and Michael R. Bacon.

"Triangular Number Patterns in the Coefficients and Diagonal Sequences of Zernike and Related Polynomials", Proceedings of the Thirteenth International Conference on Fibonacci Numbers and Their Applications, July 2008. Coauthored with Charles K. Cook and Michael R. Bacon.

"Some Jump Sum Patterns for the Rows of Pascal's and Related Triangles", Proceedings of the Twelfth International Conference on Fibonacci Numbers and Their Applications, July 2006. Coauthored with Charles K. Cook.

Presentations

“Higher Order Boustrophedon Transforms for Certain Well-Known Sequences”, Seventeenth International Conference on Fibonacci Numbers and Their Applications, University of Caen, Caen, France, June 2016. Coauthored with Anthony G. Shannon and Charles K. Cook. Presented by Charles K. Cook.

“Basic Linear Recursive Matrices”, Seventeenth International Conference on Fibonacci Numbers and Their Applications, University of Caen, Caen, France, June 2016. Coauthored with Anthony G. Shannon and Charles K. Cook. Presented by Anthony G. Shannon.

“An Extension of Some Results Due to Jarden”, Sixteenth International Conference on Fibonacci Numbers and Their Applications, Rochester Institute of Technology, Rochester, NY, June 2014. Coauthored with Anthony G. Shannon and Charles K. Cook. Presented by Anthony G. Shannon.

“Some Aspects of Fibonacci Polynomial Conguences”, Fifteenth International Conference on Fibonacci Numbers and Their Applications, Eszterhzy Karoly College, Eger, Hungary, June 2012. Coauthored with Anthony G. Shannon and Charles K. Cook. Presented by Anthony G. Shannon.

“The ‘Magicness’ of Powers of Some Magic Squares”, Fourteenth International Conference on Fibonacci Numbers and Their Applications, Instituto de Matematicas de la UNAM, Morelia, Mexico, July 2010. Coauthored with Charles K. Cook and Michael R. Bacon. Presented by Charles K. Cook.

“Some Specific Binet Forms for Higher-Dimensional Jacobsthal and Other Recurrence Relations”, Fourteenth International Conference on Fibonacci Numbers and Their Applications, Instituto de Matematicas de la UNAM, Morelia, Mexico, July 2010. Coauthored with Charles K. Cook and Gerald E. Bergum.

"The 'Magicness' of Powers of Some Magic Squares", Mathematical Association of America Southeastern Section 89th Annual Meeting, Elon University, Elon, NC, March 2010. Coauthored with Charles K. Cook and Michael R. Bacon.

"Triangular Number Patterns in the Coefficients and Diagonal Sequences of Zernike and Related Polynomials", Thirteenth International Conference on Fibonacci Numbers and Their Applications, University of Patras, Patras, Greece, July 2008. Coauthored with Charles K. Cook and Michael R. Bacon.

"On Products of Fibonacci Numbers and Their Recurrence Relations", Thirteenth International Conference on Fibonacci Numbers and Their Applications, University of Patras, Patras, Greece, July 2008. Coauthored with Charles K. Cook.

7/2006 "Some Jump Sum Patterns for the Rows of Pascal's and Related Triangles", Twelfth International Conference on Fibonacci Numbers and Their Applications, San Francisco State University, San Francisco, CA, July 2006. Coauthored and presented by Charles K. Cook.

"Symmetric Brace Algebras and A-infinity Structures", National Conference, Joint Mathematics Meetings, San Antonio, TX, January 2006.

Community Service

Member of the Sumter Elks Lodge and Chair their Scholarship Committee.

Professional memberships

Member of the Fibonacci Association.

Awards

2009-2010 USC Sumter's Student Government Association Teacher of the Year
2006-2007 National Project NExT (New Experiences in Teaching) Fellow
2002 Maltbie Teaching Award, North Carolina State University
2001 Outstanding Teaching Assistant Award, North Carolina State University
2000 Faculty’s Academic Excellence Award – Mathematics, Coastal Carolina University


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