1) the reason why you have to study science subjects even though you are psychology major is that science is considered as part of general education. In general education, you will find that you have to study a lot of subjects which is not related to your major, such as science subjects like chemistry, physics, geology; art and humanities such as arts, history, film, languages; social science such as philosophy, economics, social science and so on. To apply universities, you have to meet the general education [GE] requirement. So that is the reason why you have to study science enough thought you are psychology major.
2) since your major is psychology, the best universities providing best psychology program are stanford university, University of California, Los Angeles, and University of California, Santa Barbara
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