<p>You won’t be competing with freshman for space, just other transfers. Most colleges accept transfers from both 2-year and 4-year colleges, and admit about half of their transfers from one and half from the other. This even applies to top-tier colleges like Stanford and Cal Tech.</p>
<p>As for math, at my school they offer up to Linear Algebra. In contrast, the highest offered in high school was AP Calc BC (equivalent to Calc II or III, not sure which)</p>