Recent Tutoring Session Reviews
"In this lesson, we worked through problems that involved applications of chain rule, product rule and quotient rule. We were required to apply these rules in terms of general functions f and g and then consult a table to plug in the specific value. I was very impressed with the student's independence on recognizing and executing chain rule, etc. Then we did a series of problems on finding the derivative of an inverse function without explicitly knowing the inverse. We extended this to finding the tangent line at a point on the inverse function. Lastly, we started related rates problems, which he will continue in class."
"The student and I continued going over the last few chapters she needs to know for next week's exam. First we reviewed her previous quiz, in which she missed two problems due to just simple arithmetic errors. Then we finished up I think 4.1, which involved graphic the entirety of functions, including both critical AND inflection points. She is solid on this now, so we moved on to 4.2, which is max/min word problems. We just did a few simple-ish ones, but she seemed to get the point pretty well. I then gave her some tips for other types of problems she's likely to see, and she'll work on the online homework on her own (she'll probably be able to do most of it) until our next meeting on Thursday."
"In this session, I helped the student with Riemann sum methods and introduction to integrals. I also reviewed material for her quiz on cost/revenue/profit functional problems. I explained the Riemann sum methods from left hand and right hand formulas with examples. Then, she worked on her homework problems. Overall, our session went well."
"The student and I reviewed homework from the related rates section, applying implicit differentiation to changing lengths and area problems and rate of angle increase problems. We also continued to work on constant acceleration problems and applications of the first and second derivatives to motion."
"We continued to work on the final exam review. We went through an optimization word problem and several integral problems. We looked at the Riemann Sum definition of an integral as well as the anti-derivative rules for powers and trigonometric functions. We also talked about how position, velocity, and acceleration functions are related and how to get all three functions from one by integrating or taking the derivative."
"We covered some difficult questions today. After the first problem, the student did the majority of the calculations. My only input was reminding him of the necessity of parentheses and to clearly write out all of his steps. Today was a challenging day, but he is getting better at his math skills every day. We did a review of his last quiz, which is good because he wants to make sure he doesn't repeat the same mistakes."