<p>I have taken Calc I, II, III and Linear Algebra in high school.</p>
<p>I heard from students at other colleges that Calc I and II are really hard in college but Calc III is a lot easier (assuming you know prerequisite material of course)</p>
<p>I started with calc 3 and did just fine, though I think I'm fairly strong at math, so I'm sure other people's milage may vary.</p>
<p>I wouldn't say you need to know a whole lot of calc II to do well in calc III - you should be comfortable with taking derivatives and antiderivatives of elementary functions, with taking definite integrals, and especially with "tricks" like chain rule, integration by parts, change of variables/u-substitution. </p>
<p>More importantly is that calc 3 includes a lot of vector and 3d stuff, so you want to be good with that. You start off with polar coordinates right away and move pretty fast through cylindrical and spherical coordinates. Depending on your background, this can either be review or completely new.</p>