Do they also offer any majors/degrees in Psychology, Architecture, or Engineering? Do any of the other Ivy League schools offer any majors/degrees in those areas?

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I'm sure they do.

Dartmouth student here: Creative writing is more like... a course here. The closest majors I could think of to creative writing would be comparative literature or humanities. Still, you are required to take a writing class and a seminar class as a freshman. For these, you have many options—plenty of which are along the lines of creative writing. Psychology of course is offered. Engineering is offered. There are some arts and engineering courses that cover architecture.