Caltech is a “research institution”. Is that what you are going for? Yes, it’s a very small college, with 200 entering freshman and you will be VERY independent.
The professors lecture, and go back to doing their research, and the exams are developed and scored by graduate students.
You need to be able to be very independent and learn subjects on your own. If that sounds good to you, and you think they will fund you, then go for it.
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