<p>That looks like Trapezoid rule for integration. I don’t remember the exact form…</p>
<p>Basic differentiation: definition of differentiation, chain rule, quotient, group, power, the first four trigs) (and probably one or two more… can’t remember everything haha)</p>
<p>Basic integration: definition of integration, rectangular, fundamental theorem of calculus…definite integral… </p>
<p>For me trapezoid, Simpson’s rule, midpoint rule are covered in calculus II</p>
<p>Again, knowing basic techniques will be enough. I don’t even think half of the people in my differential course remember how to sketch functions using calculus.</p>
<p>Find an AP Calulcus AB & BC book (Princeton Review is awesome) from local library or from a friend. Or get a calculus book. Paul has many problems there too. You can also google calculus problem</p>
<p>Just to add to the discussion, in my calc 2 class we are covering differential equations (1 chapter out of Stewart’s Calculus). So the OP could possibly see some of that depending on what book his class uses.</p>
<p>For integration you should also look at: u-substitution, integration by parts, trig substitution.</p>
<p>Here, get this book and go through the first 8 chapters.</p>
<p>That’s very new to me contramundum09. Stewart books do have differential component in the his calculus book, but I think it is skipped because people will take DE later anyway.</p>
<p>So it looks like learning basic integration will quick, and learning basic derivatives might take a little longer because there seems to be more stuff. Though I can probably get it all done in a few hours.</p>
<p>And I just realized that I will be basically skipping Calc I and going onto Calc II, because I won’t have any AP tests and I won’t have any credit for the Calc I class. Once I get to college, will that matter? Or will they just see that I’ve already gotten past it and can move on, and just act like I’ve already taken it?</p>
<p>@contramundum I know Calc II covers differential equations, but I’m just worrying about the stuff I need to know before the class starts.</p>
<p>I rechecked the textbook and it seems like I did miss the differential part. In calculus 2 you do learn about modeling, decay, growth. It really depends on the school. So my bad on this mistake. I should double check next time! (for me I did learn these things…)</p>
<p>
Actually, there is a problem. How do you register that summer course without any credits for calculus I ??? Let’s clarify this before moving to your next question.</p>
<p>Ok, I have a plan. If I take Calc II over the summer, I’ll get credit for that. Now, I need credit for Calc I. In order to get that, I’ll simply take the AP AB Calc exam next year, and get a 4 or a 5 on it (which should be easy to do if I’ve been in multivariable the whole year). I’ll bring this up with someone at school I’ll talk with next week about all of this. I’m sure there are workarounds.</p>
<p>You mentioned differential equations above. Are you saying that I should learn the basics of them before going into Calc II, or are you saying that I learn them in Calc II?</p>
<p>I think what jwxie is saying is that in order to even register for calc 2 you will need to have the prerequisite course (calc 1). If you’re lucky maybe you can find a teacher/professor who would be willing to let you into their calc 2 class if you could prove to them that you self-studied calc 1 and know all of the material. Other than that I don’t see how you could take calc 2 before calc 1.</p>
<p>I wouldn’t worry about differential equations right now. Focus on limits, derivatives & anti-derivatives and integrals. Make sure your algebra background is rock solid. Review some trig (trig functions, unit circle). Ll’hopital’s rule is also important.</p>
<p>I don’t think so. We were talking about how I would go about getting Calc I credit after I had completed Calc I. Since it’s a summer course, I think basically anyone can register to take the course, but I’ll look into that too.</p>
<p>“Actually, there is a problem. How do you register for that summer course without any credits for calculus I ??? Let’s clarify this before moving to your next question.”</p>
<p>So yes, definitely look into it. Some community colleges will enforce prereqs while others won’t. You’ll have to see how your local CC operates.</p>
<p>Ah, I see, I missed that part sorry. It won’t be at a community college. I’m not sure if you have to pay to get into these classes at community college, but you do where I would go. I’m not sure if that would have a difference.</p>
<p>I think they probably have some sort of entrance exam. This is something I’ll just have to figure out by asking the college.</p>
I should double check next time! (for me I did learn these things…)</p>