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David Andrew Rothrock was a professor of mathematics at Indiana University from 1892 to 1937 and Director of Admissions from 1937-1938. The collection consists of manuscripts of published materials, teaching materials, notebooks kept while he was a student at the University of Chicago and Leipzig University, and one piece of correspondence The teaching materials include mathematical computations and exercises, writings about theories, notes from specific classes he taught, and student papers from a seminar.

Williams taught mathematics at Indiana University for nearly 50 years however, he was best known for his multi-volume work, Lincoln Finds a General, 1949. Williams was also the first commander of the Student Army Training Corps, later to be known as The Reserve Officers Training Corps (ROTC) at Indiana University.