When teaching a course based a text book, is using the proofs of theorems and examples from a text book considered reproducing the material from the textbook, while providing the study lecture notes?
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7Does this answer your question? How to make sure that my lecture notes do not infringe on copyrights? – GoodDeeds Jul 16 '20 at 08:33
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1What is the problem you are trying to solve? What sort of "using"? – Anonymous Physicist Jul 16 '20 at 09:51
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By using I mean, for example in the lecture course suppose I have to use the proof that the author gives in the textbook and I want to follow it, in this case the one teaching wants to incorporate the proof that the author has given, say for an established theorem. – danny Jul 16 '20 at 11:06
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A textbook is produced as “here is a tool to teach students or a class”, while a paper is produced as “this is the state of play of our work”.
The author of the textbook expects lecturers and students to use the material but if they quote it in lecture notes or an essay they then expect it to be correctly referenced.

user2768
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Solar Mike
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+1 I generalised to lecturers and students, do revert if inappropriate – user2768 Jul 16 '20 at 07:08
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