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Hello, I am new to this forum and would like to ask a few questions. I guess I should introduce my self. I am currently 16 probably a little young to be on a forum of this caliber. I currently have an interest in math and wish to pursue this interest in college and beyond. I currently am a junior taking pre calculus and statistics. I have always excelled in math ever sense elementary school and I am currently going to a private school where my courses are set, I chose statistics as a elective this year. Next year math is optional but I am going to take AP Calculus AB (BC is not offered) Physics (Algebra based, AP is not offered) and engineering (As an elective). I have excelled on my college entrance exams even though I have not taken my final tests. I wish there was more variety to take at my school but sadly that is not an option. I am wondering what books/textbooks, courses, or curriculum I could take this year or next. In addition to my material learned at school. I am also looking for mathematical books that are advanced but within my capability of reading. I would like to either attend Colorado State of Mines, MIT, Cornell, or Harvard. I have not had the opportunity to compete in any mathematical events. Are my chances slim getting into any of these universities and am I able to continue to advanced mathematics. Thank you so much for your input.