This Wednesday, we took a mini quiz over chain rules. Although I've got a good score on it, I am still not sure if I can do some complicated trigonometry questions. And, I won't forget to write +c after the original function. Anyway, it's a relief that a quiz was over, but another one is coming soon, next Monday. Monday's quiz is going to cover what we learned on Thursday. We learned two lessons about implicit differentiation. Until Thursday, we were able to find the derivatives of independent variables, but on that day, we learned how to find derivatives of both independent and dependent variables.
Ex) 2y=x^2+sin y
1. Take the derivative of both sides: 2*dy/dx=2x=cos y * dy/dx
2. Collect terms with dy/dx and factor out: -2x=(cos y -2)dy/dx
3. Solve for dy/dx: dy/dx=(-2x)/(cos y -2)
We learned two lessons about implicit differentiation in a day. The two are basically the same, and I felt confident with them while doing homework. Many other students are struggling with simplifying equations, but I feel like I am good at simplifying or calculating. But, for me, it takes some time to understand concepts completely, and I always think I need many practice problems. But, implicit derivatives look fine, and I finished homework in class! This weekend is free!
This week my participation was good. I really think AP calculus class is really fun! I am looking forward to learning new stuffs in Math. I really want to learn more more haha.
Mr. Cresswell, you should know how difficult math exams are in Korea. In my high school, the average score for math final exams is 48. It isn't because Korean students are stupid, but questions are really hard. In America, if students are given what their teachers never taught them on the test, they would claim for it, right? But, you know what, on math tests in Korea, we are given less than five problems that teachers taught us out of 30 questions. Teachers teach us very well, but make final exams hard. That's why we have to go to academic institutes Everyday!!! In elementary school, I went to Math, English, piano academic institutes and in summer and winter vacation, I attended institute of art. If I were in Korea right now as a senior, I am pretty sure I would attend Math, Korean, English, and Science academic institutes. They close at 10pm and are open on weekends, so students are always tired. Also, it costs lots of money, maybe $1500-2000? I am not lying. I am telling you the truth. It is natural for most of Korean high school students. I am very lucky that I don't go to academic institutes, and I can learn many stuffs at school and study in English. Seniors in America are lucky!! Thank you for reading this, and have a great weekend!
Ex) 2y=x^2+sin y
1. Take the derivative of both sides: 2*dy/dx=2x=cos y * dy/dx
2. Collect terms with dy/dx and factor out: -2x=(cos y -2)dy/dx
3. Solve for dy/dx: dy/dx=(-2x)/(cos y -2)
We learned two lessons about implicit differentiation in a day. The two are basically the same, and I felt confident with them while doing homework. Many other students are struggling with simplifying equations, but I feel like I am good at simplifying or calculating. But, for me, it takes some time to understand concepts completely, and I always think I need many practice problems. But, implicit derivatives look fine, and I finished homework in class! This weekend is free!
This week my participation was good. I really think AP calculus class is really fun! I am looking forward to learning new stuffs in Math. I really want to learn more more haha.
Mr. Cresswell, you should know how difficult math exams are in Korea. In my high school, the average score for math final exams is 48. It isn't because Korean students are stupid, but questions are really hard. In America, if students are given what their teachers never taught them on the test, they would claim for it, right? But, you know what, on math tests in Korea, we are given less than five problems that teachers taught us out of 30 questions. Teachers teach us very well, but make final exams hard. That's why we have to go to academic institutes Everyday!!! In elementary school, I went to Math, English, piano academic institutes and in summer and winter vacation, I attended institute of art. If I were in Korea right now as a senior, I am pretty sure I would attend Math, Korean, English, and Science academic institutes. They close at 10pm and are open on weekends, so students are always tired. Also, it costs lots of money, maybe $1500-2000? I am not lying. I am telling you the truth. It is natural for most of Korean high school students. I am very lucky that I don't go to academic institutes, and I can learn many stuffs at school and study in English. Seniors in America are lucky!! Thank you for reading this, and have a great weekend!