This week was the toughest week we've had so far in my opinion. I struggled with "u" substitution at first, then when I finally started understanding that I struggled with chain rule, and then when I finally got that I struggled with high order derivatives. This week was the definition of a struggle for me.
I am still a little shaky with "u" substitution, I am almost fully confident with it, but not yet. I think with a little more practice I will be 100% confident with it and that's a huge thing for me, at first, I had no clue what we were doing or how to do it, but I slowly but surely figured it out.
The CCC we did with "u" substitution really helped me. It was nice to have multiple people explain what was going on to me. When people repeat the steps to do something it is way easier for me to grasp a concept than just with a quick example and a homework assignment like previous math classes have been for me.
Oh chain rule. This was another hard thing to wrap my mind around. I always seemed to forget a step during this process, but honestly, chain rule was an easier concept to understand for me I think. It just took some practice for me to get the hang of it. I still question myself on my answers when I do chain rule problems, but I plan to continue to practice these and become better at them.
I really don't like higher order derivatives. I understand that to get y'' you must plug y' into the equation you are using to find y'', but I am really bad at simplifying. I almost always get the right answer before I simplify and then I simplify and mess myself up completely.
I have been having multiple people help me to try and get a better understanding of the things we learned this week, but the quiz we took today showed me that I should probably keep practicing. I think my confidence going into this quiz was lower than normal because I didn't feel like I knew what I was doing although I completely understood everything when we were in class and doing the problems together. I just don't understand how I can feel so confident in class but at home or on the quiz question myself to the point where I am unsure of what to do. I really need to stop that, and hopefully I can become more confident in my math abilities.
The problems we do in class I understand really well. The picture I have posted shows one of the more complicated ones we've done together and I was the first in my group to get the right answer which made me feel great about this week, but the quiz made me unsure of myself, understanding what we covered this week is the goal of my weekend!