Week 6

~~~~~~ WEEK 6 ~~~~~~

Today's outline:

• Proof about non-boolean functions
• proof something false
• proof about limits

I got 71% on my mid-term grade and I was disappointed at myself because I know I could have done a lot better. I need to spend more time on learning about CSC165 from now on. One thing that cheered up my mood was that we were told that we only have a 2 hour lecture.

We started the class off by learning about non-boolean functions. It is simple and straightforward. I know what boolean is used in CSC108.  Non-boolean functions are functions which return value is not True or False. For example sin(x) and x².

We learned about floors. They are basically converting a number to an integer. It is exactly what the ‘int’ function in python does. Then we were taught about some proofs involving floors. I understood them once i read over them because I was a little confused during class. I love how the professor uses memes to indicate emotions. I told my friends in other classes that my professor uses memes and they all wanted to join my class all of a sudden.

We then learned about proving things false by disproving. How do we disprove statement S? Just prove ¬S.  We learned about sequences how to disprove them. The proper way to disprove a statement is:  

• First make sure to negate it correctly
• Then prove the negated statement
• Draw examples to obtain intuition

We were shown invalid ways of proofs which were for humor purposes. After that we were introduced to limits. I have learned about limits in MAT137 so I have an idea about them and the epsilon-delta proof. I understood what was taught.

There was no tutorial this week.