<p>I know some of the Schaum’s books helped me out a bit when I was taking upper level math classes since they had a decent number of worked examples, and their explanations didn’t have all the proofs which, at times, was nice because it made it easier to see what was actually useful.</p>
<p>check out [url=<a href=“http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx]Pauls”>http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx]Pauls</a> Online Notes : Calculus I<a href=“or%20google%20Paul’s%20Online%20Calculus%20notes%20if%20this%20doesn’t%20show%20up,%20my%20posts%20might%20be%20too%20low%20to%20put%20up%20links%20on%20this%20site”>/url</a>. I really like the way he explains the stuff and if you maybe forget some math topic thats needed to understand something you can find the info real quick and brush up on it. I use this in place of my textbook a lot and its free, and it goes all the way up to DiffEQ.</p>
<p>As for actual textbooks, I really liked how Blitzer’s textbook was laid out for precalc, I dunno how it is for calc but I assume its similar with its explanations. I had to use James Stewart’s books for calc 1-3, I don’t know how others felt about it but I really didn’t like it (found myself saying “where the hell did this come from!” when going over the topics and doing the problems in it).</p>
<p>Whatever textbook you get, it’s always good to get yourself the solutions manual that goes along with it too.</p>
<p>Check Amazon for instructional DVDs too, I know theres some good ones but I forget the names, just check the reviews.</p>
<p>Theres plenty of material out there, if you’re disciplined you almost don’t even need to take a class on it, too bad its required…</p>
<p>If you’re committed to going to the U of Toronto, I suggest while self studying, do some extra prep for the epsilon delta proofs.</p>
<p>My friends at U of T engineering (about 2 years ago; I don’t think they changed their Calculus curriculum) really really hated those in their Calc 1 course. They also took the mandatory intro Calc class in high school, so I suggest that you do a bit of studying on it to get used to them.</p>
<p>College Board has sample AP Calculus curriculum’s laid out on its website as well as textbook teachers at colleges and high schools have used:</p>
<p><a href=“Supporting Students from Day One to Exam Day – AP Central | College Board”>Supporting Students from Day One to Exam Day – AP Central | College Board;
<p>Page 33 to 81 has 6 syllabus’s, the first 4 are from high schools (first 2 are Calc I, #3-4 are Calc I + Calc II), #5 is from Davidson College for Calc I, #6 is from Weber State University for Calc I + Calc II</p>
<p>Ha, epsilon delta stuff. I didn’t understand it until my discrete math class (which was all about proofs, so I was in a proof frame of mind). And now I’ve forgotten it all. And I never see it again.</p>
<p>Update after a year.</p>
<p>Finished my Freshman year and it was great! I did end up doing some self-study over the summer, but found that I wasn’t really necessary for Calc I. Ended up with an A-, but a B- in Calc II. Profs weren’t that great, so we still ended up using khanacademy and patrickJMT.</p>
<p>Also, they took out the Delta Epsilon Proofs for Calc 1 :P</p>
<p>I just wanted to thank you for sharing your experience one year later. It reassures me a bit because I am super nervous about taking accelerated calculus at UT Austin this fall after a long hiatus from math.</p>
<p>Oh my gosh, look at me over a year ago bragging about no more epsilon delta, and it keeps coming up in complex analysis! It’s okay, I gots a handle on it now.</p>