As you want to get list of schools with aerospace engineering in USA for doing course in this department so here I am giving you some colleges list:

California Institute of Technology
Massachusetts Institute of
Technology
Stanford University
University of Michigan
Ann Arbor
Georgia Institute of
Technology
Purdue University
West Lafayette
Princeton University
University of Illinois Urbana
Champaign
Cornell University
Texas A&M University College
Station (Look)
University of Maryland
College Park
University of Texas Austin
Virginia Tech
Pennsylvania State University
University Park
University of California Los
Angeles (Samueli)
University of
Colorado Boulder
University of
Minnesota Twin Cities
University of Southern
California (Viterbi)
University of Washington
Rensselaer Polytechnic Institute
Ohio State University
Iowa State University
University of California
San Diego (Jacobs)
University of Florida
University of Notre Dame
Case Western Reserve University
North Carolina State University
Arizona State University (Fulton)
Rutgers, the State University
of New Jersey New Brunswick
University of California
Irvine (Samueli)
University of Arizona
University of California Davis
University of Cincinnati
University of Virginia