November 29th, 2008, 6:53 pm
Also keep in mind that most PhD programs are standardized to a certain degree. Some might have emphasis on a specific area but most will put you through the standard courses that use the standard graduate textbooks. There are some schools that are tougher than others though, like U Chicago, that sometimes dont use textbooks but instead teach from their (more advanced) notes. If you take a look at MITs opencourse site you will see for yourself that even a top of the top PhD programs such as MIT use the standard textbooks and teach the same material as other math programs.Here are some of the important factors that I think make a quality PhD program:1. Good professors that are **taking** students.2. The quality of the seminars that the department holds.3. The amount of time and money the department allocates to PhD students (research, personal attention, etc.).4. A good solid set of core classes and a variety of advanced level classes.5. Placement of phd graduates.Ive recently found that the whole ranking system for phd programs, such as the US News and NRC, is a bit mis-guiding. Many of these are ranked mostly on surveys taken by professors at universities, but if you think about this for a second, you will find that there are many problems with this kind of ranking systems. For one, how would a professor be able to judge a program well if he/she didnt attend or teach at the school? Secondly, just because there are two famous professors at a school doesnt make it a good phd program, those professors might not even be accessible to students. Thirdly, you dont know how much time the professors are taking to so these surveys, they might be rushing through them and not putting any thought into it. Fourth, only around 60% professors respond to these surveys. Lastly, did they recognize the difference between a good department and a good phd program?Phd rankings are mostly outdated. With the internet you can go into the department's website and personally investigate the program and facutly by yourself. Before the internet, it was really hard to get all this information and had to rely on rankings to be able to make a good choice. So I say that you should be the judge of how good the program is, using some guidelines such as 1.-5.