i think that apologizing to your students is a matter of honesty that all of us should stick to.
thesr is no shame or embarrasement in doing that. in the contrary, it may increase truthfulness and trust between you and your students.
once, i gave my college students an unintenional wrong mistake. i discovered my mistake late at night. Believe it or not, i didnt sleep that night. the other day i told them that i had given them wrong information and corrected it to them.
Frankly , i was afraid that someone would discover my mistake before i do, but, praise be to Allah, i was the first one to discover it.
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