How about, "When my students start my course, I want them to be able to recall, explain and use everything they have studied before."
recall means recite definitions and theorems;
explain means teach me or another student these definitions etc, pointing out, in their own words, what the ideas mean to them; this will probably involve dialogue and lots of examples;
use means extend the ideas to different situations, tackle novel problems, etc.
I think it is useful, when stating objectives, to use verbs which can, in some sense, be assessed. The above needs to be unpacked even more and precise "content" statements made.
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