Ideas are not protectable under the U.S. Copyright
Act. Only the fixed expression of an idea can be protected. Consequently, if you were to create publication that provides similar ideas to the original course, and uses similar references, then that would be entirely legal.
However, if for example, you take the class outline, table of contents, references, and text from the original lecturer's materials, then that is copyright infringement
, because you are merely repeating what someone else has already done, without any creativity of your own.
When you say, "Can I do this comfortably," if you mean "can I do this without risking a copyright infringement lawsuit," then regrettably my answer must be, "no." You are risking copyright infringement unless you write your own version of the course.
Of course, you may never get caught. Neither the professor, nor the school may spend any resources searching for infringement of their class syllabus materials. But, if you get caught, there is a risk, and it could be very costly.
Please let me know if my answer is helpful, or if I can provide further clarification or assistance.
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