JasonMode said:Some schools have their admissions data online, just go to their grad programs admissions page.
UCLA math data:
goo.gl/SYWF7
But the PhD completion rate is pretty old.
Monocles said:Some schools have information on this if you dig around for long enough. You can estimate it, though, by taking the number of current grad students and dividing by the average number of years to graduate (which is also frequently on the website, but you can just guess 4.5 and probably won't be far off).
The three schools you mentioned all have fairly large programs. UCLA math, for example, typically have 30-40 new grad students per year (combined in both pure and applied math - some schools treat these separately).
The average class size in math PhD programs varies depending on the university and program. However, most PhD classes tend to have smaller class sizes, ranging from 5-15 students.
The size of core math courses in PhD programs also varies, but they tend to be smaller than undergraduate courses. On average, core math courses in PhD programs have class sizes of 10-20 students.
There is no definitive answer to this question as it depends on the individual student and their learning style. However, smaller class sizes can allow for more personalized attention from professors and more opportunities for discussion and interaction among students.
The quality of education in math PhD programs is influenced by numerous factors, and class size is just one of them. While smaller class sizes may offer certain benefits, the quality of education is ultimately determined by the expertise of the professors and the curriculum of the program.
Larger class sizes in math PhD programs may offer more diversity in perspectives and a wider range of experiences among students. Additionally, larger class sizes may provide more opportunities for collaboration and networking among students.