| Universities |
| | Click Year to Sort |
| | Stanford University | 1 | 1 | 1 | 6 | 6 | 2 | 3 | 4 | 6 | 5 | 4 | 6 | 5 | 4 | 6 | 6 | 5 | 4 | 5 | 5 | 5 | 4 |
| | Harvard University | 2 | 2 | 2 | 4 | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 1 | 1 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 2 |
| | Yale University | 3 | 2 | 3 | 1 | 1 | 3 | 2 | 3 | 3 | 3 | 2 | 1 | 3 | 1 | 4 | 2 | 2 | 2 | 3 | 3 | 3 | 3 |
| | Princeton University | 4 | 4 | 4 | 2 | 2 | 4 | 4 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| | University of California at Berkeley | 5 | 7 | 5 | 24 | 13 | 13 | 16 | 16 | 19 | 23 | 26 | 27 | 23 | 22 | 20 | 20 | 20 | 20 | 21 | 21 | 20 | 21 |
| | University of Chicago | 6 | 5 | 8 | 10 | 9 | 11 | 10 | 9 | 9 | 10 | 11 | 12 | 14 | 14 | 13 | 10 | 9 | 12 | 13 | 14 | 15 | 9 |
| | University of Michigan at Ann Arbor | 7 | | 8 | 25 | 17 | 21 | 22 | 24 | 23 | 21 | 24 | 24 | 23 | 25 | 25 | 25 | 25 | 25 | 25 | 22 | 25 | 24 |
| | Cornell University | 8 | | 11 | 14 | 11 | 9 | 12 | 11 | 10 | 15 | 13 | 14 | 14 | 6 | 11 | 10 | 14 | 14 | 14 | 14 | 13 | 12 |
| | University of Illinois at Urbana-Champaign | 8 | | 20 | | | | | | | | 45 | 50 | 45 | 42 | 34 | 41 | 36 | 38 | 40 | 37 | 42 | 41 |
| | Massachusetts Institute of Technology | 10 | | 11 | 5 | 7 | 6 | 6 | 5 | 4 | 4 | 5 | 5 | 6 | 4 | 3 | 5 | 5 | 4 | 4 | 5 | 7 | 4 |
| | Dartmouth College | 10 | 10 | 6 | 7 | 8 | 8 | 8 | 7 | 8 | 8 | 7 | 7 | 7 | 10 | 11 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| | California Institute of Technology | 12 | | 21 | 3 | 4 | 5 | 4 | 5 | 5 | 7 | 7 | 9 | 9 | 9 | 1 | 4 | 4 | 4 | 5 | 8 | 7 | 4 |
| | Carnegie Mellon University | 13 | | | | | 22 | 24 | 19 | 24 | 24 | 23 | 28 | 23 | 25 | 23 | 23 | 22 | 21 | 23 | 22 | 22 | 21 |
| | University of Wisconsin at Madison | 13 | | 23 | | | | | | | | 32 | 41 | 38 | 36 | 34 | 35 | 32 | 31 | 32 | 32 | 34 | 34 |
| | Case Western Reserve University | | | | | | | | | | | 35 | 38 | 37 | 34 | 34 | 38 | 38 | 37 | 37 | 35 | 37 | 38 |
| | Tulane University | | | | | | | | | | | 38 | 36 | 34 | 36 | 44 | 45 | 46 | 43 | 44 | 43 | 43 | 44 |
| | University of California at Irvine | | | | | | | | | | | 48 | 37 | 41 | 36 | 49 | 41 | 41 | 45 | 45 | 43 | 40 | 44 |
| | Rensselaer Polytechnic Institute | | | | | | | | | | | 39 | | 48 | 49 | | 49 | 48 | 47 | 48 | 46 | 43 | 42 |
| | University of Washington | | | | | | | | | | | 50 | 42 | | | 44 | 45 | 45 | 47 | 45 | 46 | 45 | 42 |
| | University of Rochester | | | | | | 25 | | | | | 29 | 30 | 31 | 29 | 32 | 33 | 36 | 36 | 35 | 37 | 34 | 34 |
| | University of California at San Diego | | | | | | | | | | | 43 | 34 | 33 | 32 | 32 | 31 | 31 | 31 | 32 | 35 | 32 | 38 |
| | Georgia Institute of Technology | | | | | | | | | | | 42 | 48 | 41 | 46 | 40 | 35 | 41 | 38 | 37 | 41 | 37 | 38 |
| | Yeshiva University | | | | | | | | | | | | 45 | 48 | 42 | 44 | 45 | 41 | 40 | 40 | 46 | 45 | 44 |
| | Pennsylvania State University at University Park | | | | | | | | | | | 41 | | 45 | 44 | 40 | 44 | 46 | 45 | 48 | 50 | 48 | 47 |
| | Worcester Polytechnic Institute | | | | | | | | | | | | | 48 | | | | | | 55 | 55 | 53 | 64 |
| | Rutgers University at New Brunswick | | | | | | | | | | | 45 | | | | | | | | 60 | 58 | 60 | 60 |
| | Texas A&M; University at College Station | | | | | | | | | | | | 48 | | | | | 48 | | 67 | 62 | 60 | 60 |
| | Pepperdine University | | | | | | | | | | | | | | | | 49 | 48 | 47 | 51 | 52 | 55 | 54 |
| | Syracuse University | | | | | | | | | | | 49 | 44 | 40 | 47 | | | | | 55 | 52 | 50 | 52 |
| | George Washington University | | | | | | | | | | | | 46 | | 50 | | | | | 51 | 52 | 53 | 52 |
| | University of Florida | | | | | | | | | | | 47 | | | | 49 | | | | 48 | 50 | 50 | 47 |
| | University of California at Santa Barbara | | | | | | | | | | | | 46 | 47 | 47 | 44 | 45 | 48 | 47 | 45 | 45 | 45 | 47 |
| | University of California at Davis | | | | | | | | | | | 40 | 40 | 41 | 44 | 42 | 41 | 41 | 43 | 43 | 42 | 48 | 47 |
| | University of Texas at Austin | | | 25 | | | | | | | | | | | | 44 | 49 | 48 | 47 | 53 | 46 | 52 | 47 |
| | New York University | | | | | | | | | | | 36 | 35 | 34 | 35 | 34 | 33 | 32 | 35 | 35 | 32 | 37 | 34 |
| | Boston College | | | | | | | | | | | 37 | 38 | 38 | 36 | 39 | 38 | 38 | 40 | 40 | 37 | 40 | 34 |
| | Emory University | | | 25 | 22 | | | | 21 | 25 | 16 | 17 | 19 | 9 | 16 | 18 | 18 | 18 | 18 | 18 | 20 | 20 | 18 |
| | Vanderbilt University | | | | | 24 | | 19 | 25 | 20 | 18 | 22 | 20 | 19 | 20 | 20 | 22 | 21 | 21 | 19 | 18 | 18 | 18 |
| | Rice University | | | 14 | 9 | 10 | 16 | 15 | 12 | 14 | 12 | 16 | 16 | 17 | 18 | 14 | 13 | 12 | 15 | 16 | 17 | 17 | 17 |
| | Johns Hopkins University | | | 16 | 11 | 14 | 15 | 11 | 15 | 15 | 22 | 10 | 15 | 14 | 14 | 7 | 15 | 16 | 15 | 14 | 14 | 13 | 16 |
| | Brown University | | 7 | 10 | 13 | 15 | 12 | 17 | 18 | 12 | 11 | 9 | 8 | 9 | 10 | 14 | 15 | 16 | 17 | 17 | 13 | 15 | 15 |
| | Northwestern University | | | 17 | 16 | 19 | 23 | 14 | 13 | 13 | 14 | 13 | 9 | 9 | 10 | 14 | 13 | 12 | 10 | 11 | 11 | 12 | 14 |
| | Washington University in St. Louis | | | 23 | 19 | 22 | 24 | 18 | 20 | 18 | 20 | 20 | 17 | 17 | 16 | 17 | 15 | 14 | 12 | 9 | 11 | 11 | 12 |
| | Columbia University | | | 18 | 8 | 11 | 10 | 9 | 10 | 11 | 9 | 15 | 11 | 9 | 10 | 10 | 10 | 9 | 10 | 11 | 9 | 9 | 9 |
| | Duke University | | 6 | 7 | 12 | 5 | 7 | 7 | 7 | 7 | 6 | 6 | 4 | 3 | 6 | 7 | 8 | 8 | 4 | 5 | 5 | 5 | 8 |
| | University of Notre Dame | | | | 18 | 23 | | | | 25 | 19 | 18 | 17 | 19 | 18 | 19 | 19 | 19 | 18 | 19 | 18 | 18 | 20 |
| | Georgetown University | | | | 17 | 25 | 19 | 19 | 17 | 17 | 25 | 21 | 23 | 21 | 20 | 23 | 23 | 22 | 24 | 23 | 25 | 23 | 23 |
| | Lehigh University | | | | | | | | | | | 33 | 32 | 34 | 36 | 34 | 38 | 38 | 40 | 37 | 37 | 32 | 33 |
| | Brandeis University | | | | | | | | | | | 30 | 29 | 28 | 31 | 31 | 31 | 34 | 31 | 32 | 32 | 34 | 31 |
| | College of William and Mary | | | 22 | | | | | | | | 34 | 33 | 32 | 33 | 29 | 30 | 30 | 30 | 31 | 31 | 31 | 31 |
| | Wake Forest University | | | | | | | | | | | 31 | 25 | 28 | 29 | 28 | 28 | 26 | 25 | 28 | 27 | 27 | 30 |
| | Tufts University | | | | | | | | | | | 25 | 22 | 23 | 25 | 29 | 29 | 28 | 28 | 27 | 28 | 27 | 27 |
| | University of Southern California | | | | | | | | | | | 44 | 43 | 41 | 41 | 42 | 35 | 34 | 31 | 30 | 30 | 30 | 27 |
| | University of North Carolina at Chapel Hill | | 9 | 11 | 23 | 18 | 20 | 25 | | | | 27 | 25 | 27 | 24 | 27 | 25 | 28 | 28 | 29 | 29 | 27 | 27 |
| | University of California at Los Angeles | | | | 21 | 16 | 17 | 23 | 23 | 22 | | 28 | 31 | 28 | 25 | 25 | 25 | 26 | 25 | 26 | 25 | 25 | 26 |
| | University of Virginia | | | 15 | 20 | 21 | 18 | 21 | 22 | 21 | 17 | 19 | 21 | 21 | 22 | 22 | 20 | 24 | 23 | 21 | 22 | 23 | 24 |
| | University of Pennsylvania | | | 19 | 15 | 20 | 13 | 13 | 14 | 16 | 12 | 11 | 13 | 7 | 6 | 7 | 6 | 5 | 4 | 5 | 4 | 4 | 7 |