Moulton was hired as the trainer of the Stanford football team in approximately 1900.
 He also began training the track and baseball teams in approximately 1902.
 From 1903 to 1913 and again in 1916, Moulton was Stanford's track coach.
 In 1905, he rejected offers from Eastern universities, including Yale, to become a trainer at those institutions.
 He survived a bout with typhoid fever in 1910.
 Moulton transformed Stanford into one of the country's leading track and field programs.
 The track stars developed by Moulton at Stanford include Morris Kirksey (silver medalist in the 100-meter dash at the 1920 Olympics), Norman Dole (set world record in the pole vault in 1904), George Horine (bronze medalist in the high jump at the 1912 Olympics), Fred Crawford, Feg Murray (bronze medalist in the 110-meter hurdles at the 1920 Olympics), Leland Scott (pole vaulter), and the Templeton brothers (Rick and Dink).

In 1907, Moulton signed a four-year contract with Stanford at a salary of $1,800 per year.
 In 1911, he signed a three-year contract at a salary of $2,000 per year.
 When the 1911 contract was announced, the Los Angeles Times reported, "Although Stanford did not have a successful year in athletics, from the standpoint of victories, 'Dad' is just as popular as ever among the students.
 He is a fixture at Stanford."
 However, by the summer of 1912, the Los Angeles Times reported that students had concluded that greater success could be achieved with a younger trainer, although Moulton would likely be permitted to remain at Stanford for as long as he wished.
 With the exception of a year in 1915 when Moulton worked on the Panama–Pacific International Exposition, Moulton remained affiliated with Stanford until his death in 1922.

Moulton also won acclaim as a designer and builder of tracks.
 He built the tracks used for the 1915 Panama–Pacific International Exposition and managed the track during the exposition.
 He also built tracks at Stanford University, University of Minnesota, Iowa State University, Vanderbilt University, University of Tennessee, University of Wisconsin, Manchester, England, Notre Dame, Willamette College, and Pacific University.

The Stanford Archives maintains two scrapbooks maintained by Moulton.
 The scrapbooks contain newspaper clippings, flyers and letters documenting   Moulton's career as an athlete and coach and concerning his trained dog vaudeville act.
Moulton was hired as the trainer of the Stanford football team in approximately 1900.  He also began training the track and baseball teams in approximately 1902.  From 1903 to 1913 and again in 1916, Moulton was Stanford's track coach.  In 1905, he rejected offers from Eastern universities, including Yale, to become a trainer at those institutions.  He survived a bout with typhoid fever in 1910.  Moulton transformed Stanford into one of the country's leading track and field programs.  The track stars developed by Moulton at Stanford include Morris Kirksey (silver medalist in the 100-meter dash at the 1920 Olympics), Norman Dole (set world record in the pole vault in 1904), George Horine (bronze medalist in the high jump at the 1912 Olympics), Fred Crawford, Feg Murray (bronze medalist in the 110-meter hurdles at the 1920 Olympics), Leland Scott (pole vaulter), and the Templeton brothers (Rick and Dink).
In 1907, Moulton signed a four-year contract with Stanford at a salary of $1,800 per year.  In 1911, he signed a three-year contract at a salary of $2,000 per year.  When the 1911 contract was announced, the Los Angeles Times reported, "Although Stanford did not have a successful year in athletics, from the standpoint of victories, 'Dad' is just as popular as ever among the students.  He is a fixture at Stanford."  However, by the summer of 1912, the Los Angeles Times reported that students had concluded that greater success could be achieved with a younger trainer, although Moulton would likely be permitted to remain at Stanford for as long as he wished.  With the exception of a year in 1915 when Moulton worked on the Panama–Pacific International Exposition, Moulton remained affiliated with Stanford until his death in 1922.
Moulton also won acclaim as a designer and builder of tracks.  He built the tracks used for the 1915 Panama–Pacific International Exposition and managed the track during the exposition.  He also built tracks at Stanford University, University of Minnesota, Iowa State University, Vanderbilt University, University of Tennessee, University of Wisconsin, Manchester, England, Notre Dame, Willamette College, and Pacific University.
The Stanford Archives maintains two scrapbooks maintained by Moulton.  The scrapbooks contain newspaper clippings, flyers and letters documenting   Moulton's career as an athlete and coach and concerning his trained dog vaudeville act.
Edward Moulton