I'm currently studying History in a distance learning school where the primary mode of instruction is through online delivery of academic materials called modules. My concern is that most of these modules contain minor clerical errors, which can be easily spotted and corrected with the help of other references. In one module, for example, the last name of the former U.S. senator Stephen Douglas is spelled with a letter "h". Another module claimed that "Palawan", instead of 'Palanan", was the place where the first Philippine president, Emilio Aguinaldo, was captured. The academic committee responded appropriately when I informed them about these mistakes. But should I continue to be pedantic about the minor clerical errors I might encounter in the future?
Yes, but don't be obnoxious or smartass about it. There is always the possiblity that your instructor and the course material are right, or at least not completely wrong. Foreign names might be used with different transliteration schemes at different times, etc.
But it is an essential part of science to prevent errors through (peer) review and it isn't too early to start that habit now. With hard sciences this is about the reproduction of experiments, with history it is about sources and the conclusions one draws from them.