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Open Access

Author:: Zydney, Adam Joseph
Title:: Structure of Attractor Region for Natural Extension Map Associated with p-adic Continued Fractions
Area of Honors:: Mathematics
Keywords:: attractor region
natural extension map
p-adic numbers
analysis
File:: Download zydney-thesis-FINAL.pdf
Thesis Supervisors:: Svetlana Katok, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor
Misha Guysinsky, Thesis Supervisor
Svetlana Katok, Thesis Supervisor

Open Access

Author:: Gillespie, Bryan Rae
Title:: Extending Redheffer's Matrix to Arbitrary Arithmetic Functions
Area of Honors:: Mathematics
Keywords:: Redheffer matrix
Mertens function
Redheffer-type matrix
arithmetic functions
embedding
general linear group
Dirichlet convolution
convolution inversion
sums
eigenvalues
characters
volume
Eulerian polynomials
File:: Download bgillespie-honors-thesis.pdf
Thesis Supervisors:: Robert Charles Vaughan, Thesis Supervisor
Robert Charles Vaughan, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor

Open Access

Author:: Somers, Elizabeth Anne
Title:: ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS
Area of Honors:: Mathematics
Keywords:: multiple choice exams
data analysis
difficulty
effectiveness
File:: Download Somers_Thesis.pdf
Thesis Supervisors:: Stanley S Smith, Thesis Supervisor
Mark Levi, Thesis Honors Advisor
Stanley S Smith, Thesis Supervisor

Open Access

Author:: Sofo, Ignacio
Title:: Using the Finite Element Method for Solving the Schrödinger Equation
Area of Honors:: Mathematics
Keywords:: Finite Element Method
error analysis
File:: Download Ignacio_SofoHonorsThesis2.pdf
Thesis Supervisors:: Victor Nistor, Thesis Supervisor
Victor Nistor, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor

Open Access

Author:: Walsh, Mark Edward
Title:: The Propagation of Shallow-Water Waves
Area of Honors:: Mathematics
Keywords:: shallow-water waves
wave propagation
Korteweg-deVries equation
File:: Download MWalsh_Thesis.pdf
Thesis Supervisors:: Diane Marie Henderson, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Supervisor
Nigel David Higson, Faculty Reader
Dr. Diane Marie Henderson, Thesis Honors Advisor

Open Access

Author:: Levi, Max Richard
Title:: Overlapping Neighborhoods, Local Interaction Model
Area of Honors:: Mathematics
File:: Download TeachMeHowToDougie.pdf
Thesis Supervisors:: Dr. Christopher Byrne, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor
Dr. Christopher Byrne, Thesis Supervisor

Open Access

Author:: Huang, Ying-Hui
Title:: CASE STUDY OF BEHAVIOR DIFFERENCES BETWEEN DEFINED BENEFIT AND DEFINED CONTRIBUTION PENSION PLANS
Area of Honors:: Mathematics
Keywords:: defined benefit
defined contribution
pension
retirement rate
withdrawal rate
File:: Download Ying-Hui_Huang_final.pdf
Thesis Supervisors:: David Arthur Cather, Thesis Supervisor
David Arthur Cather, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

Open Access

Author:: Immendorf, Robert Erik
Title:: An Examination of the Assignment Scheduling Capability for Unmanned Aerial Vehicles (asc-u) Model
Area of Honors:: Mathematics
Keywords:: Army
Mathematics
Linear Programming
Optimization
Operations Research
File:: Download Immendorf_Honors_Thesis-Final-Version.pdf
Thesis Supervisors:: Leonid N Vaserstein, Thesis Supervisor
Luen Chau Li, Thesis Honors Advisor

Open Access

Author:: Li, Qiyuan
Title:: Construction of Cantor Sets
Area of Honors:: Mathematics
Keywords:: Cantor set
Hausdorff measure
Kolmogorov complexity
File:: Download thesis.pdf
Thesis Supervisors:: Jan Severin Reimann, Thesis Supervisor
Stephen George Simpson, Thesis Honors Advisor

Open Access

Author:: Fuller, Samantha Ashlee
Title:: Representation Theory of sl(2,C) and sl(3,C)
Area of Honors:: Mathematics
Keywords:: representation theory
irreducible representations
Lie algebras
File:: Download Thesis.pdf
Thesis Supervisors:: Nigel David Higson, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

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