There is a fine line between collaborative learning and turning in another's work. I leave the precise drawing of that line to your own consciences. The final exam will be comprehensive. Mathematics is about proving things as much as it is about calculating things. The first homework, which I will grade myself, is mainly to see how well you understand the art of proof.
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You're not only doing yourself a favor, but are also giving me valuable feedback. The more questions you ask, the better my next lecture will be. The square root of 2 cannot be written as a terminating decimal. For any positive integer n , .