This week, one concept I found useful was disproving proofs. I was able to understand the concept pretty quickly, because you are basically proving the negation of the original claim. While I was practicing disproving proofs, I had to keep looking back at the format in order to understand how to approach the proof. So for the coming weeks and before the test I hope to practice proving and disproving single, and multiple quantified claims so that I can master the formats. In our lecture we also learned how to prove by cases, and also proofs about limits.
In class we proved a simple claim using cases, the claim was for all "n" numbers belonging to the set of natural numbers, prove that (n ^ 2) + (n) is even. In this proof, you would first have to assume that n is an odd number and then prove the claim, then you can assume n is even and then prove the claim. I definetly found proofs about limits challenging, I didn't quite understand the visual that was shown in class, however, I will try to look over the class notes so will be comfortable with the concept when it comes to the test, and assignment.
After this week I definetly want to practice, and go over the concept of proving limits through cases, disproving limits, and proofs about limits. We were also introduced to the definition of floor of x, and the use of uniqueness which I also want to go over. I also need to understand and practice proving claims by contradiction. We also didn't have a quiz, and tutorial this week because I was hoping to learn more about writing proofs, and preparing myself for the assignment.
In class we proved a simple claim using cases, the claim was for all "n" numbers belonging to the set of natural numbers, prove that (n ^ 2) + (n) is even. In this proof, you would first have to assume that n is an odd number and then prove the claim, then you can assume n is even and then prove the claim. I definetly found proofs about limits challenging, I didn't quite understand the visual that was shown in class, however, I will try to look over the class notes so will be comfortable with the concept when it comes to the test, and assignment.
After this week I definetly want to practice, and go over the concept of proving limits through cases, disproving limits, and proofs about limits. We were also introduced to the definition of floor of x, and the use of uniqueness which I also want to go over. I also need to understand and practice proving claims by contradiction. We also didn't have a quiz, and tutorial this week because I was hoping to learn more about writing proofs, and preparing myself for the assignment.