<p>So you’re in geometry now? You can’t take all five of those at once, it will take time. Geometry and algebra 2 is possible at the same time. I don’t know what “Integrating Algebra & Data Analysis” is.</p>
<p>Yes I’m in geometry now is I will be studying them all throughout this summer and throught my freshman and sophomore year and Ill be taking ap calculus at my school sophomore year </p>
<p>If you want to learn the subject really well (e.g. maybe you want to major in math or a related subject), and you have a bunch of time to devote to it, the Art of Problem Solving books are unbeatable. Their main goal is to prepare you for doing well on math competitions, so some of the more advanced books may assume that you’re comfortable with some things that aren’t taught in the traditional versions of the prerequisite courses, but if you start with their Algebra I course you should be fine.</p>
<p>Note that their courses are not named the same way as most courses. They have Algebra I up to Algebra III, but I believe (you should verify this by looking at your schools curriculum; I think every school teaches it a little differently) that their Algebra I course covers most or all of what is covered traditionally in Algebra I and Algebra II. I think the higher Algebra courses teach lots of competition strategies and tricks. Their Precalc course has a ton of stuff that’s not even remotely covered in most Precalculus courses.</p>
<p>If you’re not really interested in math, this probably isn’t relevant, sorry. Maybe some other people can recommend more traditional textbooks. I’m guessing you are interested in math though, since you’re trying to take AP Calculus early. (Note that Art of Problem Solving’s strongly believes you shouldn’t worry too much about getting ahead in terms of the the math classes you’re taking, but you should do tons of really challenging problems to make sure you deeply understand what you learn instead of just racing through the material and only understanding it moderately well.)</p>
<p>In response to GaussianInteger I’ve looked over the AoPS books and they look pretty good, much better then the books that kids usually get but I have a, what I think even stronger foundation which I think would be again only good if you really want to understand WHY a method works and not just how to do a problem. Most of these books are also written by great mathematicians if that’s a plus and these older books tend to be more concise and avoid being 1500 page monsters.</p>
<p>Algebra, Trignometry - I.M. Gelfand - Should be enough to get you up to speed from scratch
Basic Mathematics - Serge Lang - This book I think works better as a review if you covered the topics and it covers Algebra 1 and 2, Plane and Coordinate Geometry.
Precalculus I find with these books not very necessary but if you REALLY want it I’ve only looked through one half decent precalc book.
Precalculus - Cohen - Shows lots of good information with lots of graphs and generally covers what you need to know
For calculus if you’re not planning to be a math major you probably want a book with heavy applications like…
Calculus - Gilbert Strang - Has many applications and covers both single and multivariable calculus and is a solid book with lots of applications but the main plus is that it’s a good book and FREE with a free solution manual</p>