My goal for this week, and this month is to make sure that I am comfortable with solving proofs, and that I master the concept. I really want to focus on proofs for this month because I understand that proofs is one of the major units in this course. I know that it will be a major portion of our next test, and our final exam, and I really want to do good on our next test. This week we didn't go deeply into solving proofs, but we practiced writing the format for proofs which I thought was clear, and not that difficult. One thing that I dislike about the format is how we have to justify each step. Right now I sometimes forgot to justify each step but I think it will change after I start doing more complicated proofs. With some extra help I was able to tackle some simple proofs such as proving n^2 is odd, if n is odd.
One lecture that I found interesting was the one where we learned about equivalent proofs. I learned that when your doing a proof if the implication is difficult to prove and it starts to become complex, and requires more work then you can just switch to the contra-positive which is basically the implication. So your technically proving the same thing but it is more easier to tackle. I think that the tutorial really helped me understand the format of proofs, but during this long weekend I definitely want to review all the proofs we went through during lectures, and review the course notes so I can prepare myself for the upcoming tutorial, and more complicated aspects of proofs which I heard about. Although I understand the format I still think that solving most proofs will still be difficult for me, so I want to start understanding it as early as possible so I don't have to catch up, or be behind the class.
I realized that I should probably start to ask more questions during class, and tutorials if I don't understand anything. I should also try attending office hours, because I tend to wait for my professor to take some problems up rather than doing it myself and feeling more confident in class. I also hope that we have another class this month where we just solve some proofs. I also understand that after this long weekend I have few tests so my goal is to really manage my time, and spend few or more hours just reviewing the material on proofs.
One lecture that I found interesting was the one where we learned about equivalent proofs. I learned that when your doing a proof if the implication is difficult to prove and it starts to become complex, and requires more work then you can just switch to the contra-positive which is basically the implication. So your technically proving the same thing but it is more easier to tackle. I think that the tutorial really helped me understand the format of proofs, but during this long weekend I definitely want to review all the proofs we went through during lectures, and review the course notes so I can prepare myself for the upcoming tutorial, and more complicated aspects of proofs which I heard about. Although I understand the format I still think that solving most proofs will still be difficult for me, so I want to start understanding it as early as possible so I don't have to catch up, or be behind the class.
I realized that I should probably start to ask more questions during class, and tutorials if I don't understand anything. I should also try attending office hours, because I tend to wait for my professor to take some problems up rather than doing it myself and feeling more confident in class. I also hope that we have another class this month where we just solve some proofs. I also understand that after this long weekend I have few tests so my goal is to really manage my time, and spend few or more hours just reviewing the material on proofs.