Recent Tutoring Session Reviews
"We had to review some questions regarding related rates and differentials, as well as implicit differentiation. For his test tomorrow, he will print out the practice exam that his instructor provided, cut out the answers and do all problems."
"Our primary focus today was limits, and how to find the limit of a function at a specific x value. I explained the general process of plugging in the provided x value and determining if that provides an answer or an indeterminate form. If this gives an answer like 0/0 or infinity/infinity, the equation needs to be manipulated to get a real value or it will ultimately come to a no solution (when the limit does not exist). We talked about the concept of a limit, and went through the derivation of the squeeze theorem to find the limit as x->0 of sinx/x. We ended with a brief review of logarithms. The student said that we could begin focusing on derivation next week."
"The student and I covered chapter 4.1 which was integration. We did reviewed problems from his homework and he barely needed my help! We also received feedback on his performance on his recent test. He has elected to take retake exam and is talking with his professor about this option. I am concerned about his preparedness for the exam and we discussed ways to improve his tutoring experience. I asked that he speak up more with questions and concerns and I will check in with him more often as we work through the material. I also am going to look into algebra techniques to help with his retake exam since this is where he struggled most. He has the rest of his chapter 4 homework to work on between now and our next session Friday."
"With the student, we completed the work started at the first session on full function analysis. She knows how to find critical points, maxima, minima and concavity orientation. She did well on computing derivatives. The session went great, a little shorter as she has no test scheduled yet on the topic. Due to Easter holiday, we will not meet on Monday, and we will resume sessions on Wednesday."
"Continuing from last time, the student and I spent a bit more time on chain rule. She was just having some trouble with the hardest problems, but I showed her how to stay organized and solve them one step at a time. After that, we moved on to implicit differentiation. The student eventually internalized it, and she did very well on all but the hardest problems (where her issue was more just arithmetic). Finally, we jumped briefly into related-rates problems, which involve implicit differentiation. We did most of her homework problems, skipping those I thought were redundant or easy, so she can do those later. She's not 100% on related-rates problems, but her next exam isn't for a while so there is plenty of time. She is going to try and finish the rest of the problems from the section, and if she can do them all on her own then next week we'll move on!"
"Today we went over finding the area between 2 curves. I talked him through the lesson in his textbook and then we worked through the example problems. I related the concepts back to the basic integration he learned in the previous chapter. The student did well with the examples. I did notice if he rushes through the antiderivatives he gets them incorrect. I suggested he always take the derivative of the antiderivative he finds to check his answers. I did tell him to look through the remaining examples for the section we were going over."