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Date of Award

Spring 2016

Degree Name

Bachelor of Science



First Advisor

Mary Sandoval


In this text, we reformulate the standard definitions of the Darboux, Riemann, and Stieltjes integrals in terms of integrals of step functions rather than upper and lower sums or Riemann sums. We attempt a compilation and improvement of the best statements and proofs of standard results in the area.


Senior thesis completed at Trinity College, Hartford Connecticut for the degree of Bachelor of Science in Mathematics.