Week 6

This week we were given our tests back and I feel I did pretty well however so did the rest of the class which is fine at least it shows that we are all learning. We started off the lecture this week with a definition of boolean and non boolean functions which is very easy to understand. We were then shown the floor function which is just the largest integer which is less than the number we are taking the floor of. We were then shown a definition for the floor function and a simple proof by contradiction which helped in understanding the function.We were also shown how to disprove a statement by just proving the negation of the statement which was pretty easy to understand. The next part was where the material got tricky. We were shown a delta epsilon proof about limits. We were to prove that as x approaches 2 then x^2 approaches 4. The key was to finding a delta in terms of epsilon such that the statement is true. this was a little tricky at first but once we were shown the complete proof it became easier to understand.