Term Test and Proofs

  This Wednesday we took our first term test. Honestly speaking the term test was not as difficult as expected and surprisingly similar to the practice test

  Now to proofs.

  Doing proofs is like solving mazes drawn on paper. You know where to start and where you want to end, all that is left is the “middle part”. You can work towards the result from the start (implication), or you can work backwards from the end (result). Doing proofs require a much better understanding of the problem and solution, and it is this that differs it from solving computational problems. One proof that we went through in class that I find interesting is Euclid’s proof that there are infinitely many prime numbers. The proof showed creativity with the use of contradiction and demonstrated full understanding of the subject by using the prime property that every integer >2 has a prime divisor. The proof was difficult to understand when reading it the first time, and I can only imagine how difficult it is to construct it from scratch.