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    Unfortunately, every answer here can be right and every answer here can be wrong. It depends entirely on the personality of the professor and your relationship. I urge caution in your position. Commented Aug 29, 2019 at 15:12
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    I dont understand this question. Are you afraid of some snappy retort, in case you are actually wrong, or do you think the prof will remember your name and give you a bad mark when you turn up for an oral exam in his office next year? Commented Aug 29, 2019 at 17:53
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    It might be helpful to elaborate on the nature of the mistake. There is a huge range of things that a 'mistake' might be and how you react is highly dependent on the specifics. For example, 'technically wrong' (or not completely 100% accurate) statements can be essential in many intro classes because getting bogged down in the minute details can be harmful for the overall understanding of the topic for the average student in the class. You don't want to be teaching intro calc and bring up a point that is only pertinent to people taking grad level analysis courses. Commented Aug 29, 2019 at 20:31
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    Are you absolutely, 100% positive, no questions asked, sure you are right and what the professor is teaching is incorrect? I ask this because what you are suggesting is that from among the set of (professor, 5+ TA's and class(es) of students) no one but you has caught the mistake. Are you sure? Commented Aug 30, 2019 at 17:19
  • Possibly relevant question over at Mathematics Educators. Commented Sep 1, 2019 at 14:07