In the following chart, a shaded box means the major that is the column the box is in requires a subject within the course number of its row. This chart does not include classes required only due to being general institute requirements; to count for this chart, classes must be either in the departmental program or are prerequisites of classes in the departmental program. Some majors, most notably general engineering majors, are not included in this chart.
Note that courses 4, 17, 18, 21, and 24 require no classes in other majors in their respective departmental programs.
Note that this is actually not equivalent to the minimum set of course numbers required to major in a subject. If there is an option or prerequisite option in the departmental program in which the two options are under two different course numbers, both of which have no other requirements in the departmental program, it means another course number must have a class taken from. This is actually not that rare: a common prerequisite specification is any class that fulfills the general institute requirement for chemistry, which could be either 3.091 or one of 5.111 and 5.112.