I thought it was illegal to do.
I have always taped my professors lectures after portable tape recorders were available.
I then replay the lecture to be sure I did not forget a great point.
(c) It shall NOT be unlawful under this chapter for a person acting under color of law to intercept a wire, oral, or electronic communication, where such person is a party to the communication or one of the parties to the communication has given prior consent to such interception.
So long as theuse of the taped conversation is for legal purposes, a student is one of the parties to the conversation and taping the classroom discussions for lawful purposes by a party of the conversation is fully legal. In a public institution, everything a professor says is fair game. Private colleges can do whatever they want to not allow it.