CSC165H1F - 7th week

In this week we mostly talked about proofs. We proved the limits of a function, learned about the floor of x. Also I learned how to disprove a function. You should negate the implication and you should prove the negation of the implication because if the implication is false the negation will be true and if the implication is true the negation will be false. Also the contrapositive of the implication is equal to the implication so if you have a hard time proving the implication you can take the contrapositive of the implication and prove it. There are different methods for proving. As an example if you know A and B, you can conclude A or B separately. This method is called conjunction elimination. Additionally, we talked about some algorithms for sorting a 5 card euchre hand. These are insertion and selection sort. All quadratic equations are same for computer scientists. On Friday, we did a problem-solving question. According to the Polya's problem solving techniques, first we have to understand the problem. Then, devise a plan, carry out the plan and look back. Me and my group members understood the problem which was given a number of pennies they ask us to find the last amount of pennies. Our plan was to find a pattern and working with small amount of pennies but even we carried out the plan we only concluded how to get 48 from 64 pennies but we haven't finished solving the problem. Thus, we didn't have a time to look back.

I finally got where we did wrong after reading my friend(Starreyes24)'s slog. We had to work backwards to solve the problem. I realized that it is not that hard exercise after looking to starreyes24's slog.

CSC165H1F - 6th week

We only had 2 hours of lecture in the 6th week because it was thanksgiving and the university was closed on Monday. Also we didn't do any tutorials this week! In the 2 hours we worked on proving some of the implication and we learned how to disprove some implication. If we want to disprove something we take the negation of it and prove the negation of it.  The structure of the proof is more than the content. For example even you leave some blank lines and you feel like you can't solve the proof , the TA's will likely to give you points. I think proofs are difficult because you have to think a lot and you need to have a great mathematical knowledge. In the exam also there will be a time pressure. I'm working on to understand the contents of proofs. I should understand to prove things because in the other half of the course we will be doing proofs about everything.

I disagree with A.M. In this weeks slog she wrote that the hardest thing about limits is devising a plan  to find the values. I don't think it is that hard. It's all about calculus stuff. I think the hardest thing about limits is memorizing the equation with logical symbols. I'm saying that because I'm really bad at memorizing stuff both in real life and school life!

CSC165H1F - Review about the 5th week

In this week, we mostly did works on proofs of some implications. For example we proved if n squared is an odd number then n should be an odd number. It was actually fun doing the proofs but you have to have a strong mathematical ability and background to prove something. The course is actually about mathematics by the way. In the tutorial session, we tried to do an abstract structure for the proofs. Even though I didn't understand what to do when I first saw the question my partner helped me how to do it. I understood that it is not that hard to write a proof structure. Just, you have to know the basic terminology such as "assume, generic integer, then etc." and the steps of writing a proof. The term test # 1 was actually an easy test but I messed up in the first question because of stress. I'm feeling regretful right now because of it because it was a simple mistake and I realized my mistake after 10 minutes of giving my test paper. I hope I will do better on the term test # 2 and final exam. On Friday in the lecture we continued doing some proofs but with the different quantifiers in one question. Also we learned something new called "proving by contradiction". I didn't understand what it does because it was really hard to understand. Even though, we haven't solved a question about it I want to learn it by solving a question. That's how I learn in applied courses.

As I read my friends SLOGs, I saw that Term Test #1 was easy for everyone not only for me. That's bad for me because my mark could be below average. As I said before I did wrong a simple question that I could've get full marks.

CSC165H1F - 4th week

In the 4th week, we did chapters 2 and 3. I knew transitivity from high school, but I learned that if you switch the order of different quantifiers the sentence becomes so different than it was before. I think it was the most important thing I learned in this week even though it was simple. Also, I learned how to write a limit notation in terms of symbols and graphs. I also knew double quantifiers from high school because of that it was easy to me. The most complicated topic which we studied this week was the introduction to proofs. Although it seems simple while reading someone else's proofs, when you start to write a proof it comes harder than it looks. We even did an example proving if n is odd, n squared must be odd. Even everyone knows that it is true, we really had a hard time writing the proof of it. You have to think of every step while writing a proof. Tutorial section was really helpful to me, I learned new things and I hope I will get a good mark on the tutorial quiz and next week's exam. In the tutorial section we learned how to prove two logical statements are equivalent to each other. To do that we have to start from one part and go to the other part. A1 was very difficult to solve. As a conclusion, this week was a beneficial week for me. I hope I will get a good mark on the next weeks exam.

As my friend Kayman wrote in his slog, I also feel like I learned a lot from A1. It is like a practice for this course. You have to do a lot of practice and solve practice questions to learn this course I guess because it's like an applied science course.