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<p>Many (most?) LACs do not have engineering. For physics (and math), LACs and other small need to be selected carefully to ensure finding those with reasonably strong departments in those subjects (which are not especially popular majors).</p>
<p>A student taking freshman year courses for engineering should be able to switch easily to physics or math. Switching to most humanities or social studies is also relatively easy because those subjects tend to have shorter prerequisite sequences (so starting late will not prevent on-time graduation). Switching to unrelated subjects with a lot of requirements or long prerequisite sequences (perhaps art or music) may be more difficult.</p>