I have been accepted to Carnegie Mellon University, and I plan to major in Physics and possibly Mathematics as well. I am interested in a specific Honors course. Information can be found on page 9 of this pamphlet. http://www.cmu.edu/mcs/undergrad/advising/forms/SchedulingInfo-fall.pdf [Broken] This is a course labeled as Analysis, which uses the textbook Calculus, Volume 1, Second Edition, by Apostol. I expect to receive a 5 on my AP Calculus AB(currently I score 4s on practice tests, and I'm only a few points away from a 5.) I also plan to study the last three chapters of my textbook, so that I can answer the rest of the integral calculus questions on Carnegie Mellon's Calculus placement exam. Is this a sufficient amount of background for this course's rigor? I want to start proof-based classes as soon as possible. Since I am pretty good at doing calculations, I'm sure a more theoretical approach would be fun and entertaining. I am a hard worker, I am very enthusiastic about mathematics, and I will study a lot. Although I'm not anybody special, and it does take me time to learn something, but once I learn something it sticks for good -- I rarely forget it. Can anybody reveal the rigor of this textbook and whether or not I should be prepared with my current abilities in AP Calculus AB? I want to know now so that I can decide whether or not to buy it and start studying it a bit on my own over the summer break. Thank you!