The Yale School of Engineering & Applied Science is the engineering school of Yale University. When the first professor of civil engineering was hired in 1852, a Yale School of Engineering was established within the Yale Scientific School, and in 1932 the engineering faculty organized as a separate, constituent school of the university. The school currently offers undergraduate and graduate classes and degrees in electrical engineering, chemical engineering, computer science, applied physics, environmental engineering, biomedical engineering, and mechanical engineering and materials science.

Sheffield Scientific School was founded in 1847 as a school of Yale College in New Haven, Connecticut, for instruction in science and engineering. Originally named the Yale Scientific School, it was renamed in 1861 in honor of Joseph E. Sheffield, a railroad executive. The school was incorporated in 1871. The Sheffield Scientific School helped establish the model for the transition of U.S. higher education from a classical model to one which incorporated both the sciences and the liberal arts. Following World War I, however, its curriculum gradually became completely integrated with Yale College. "The Sheff" ceased to function as a separate entity in 1956.