Recent Tutoring Session Reviews
"The student has a test tomorrow so we finished up our review. We got through the rest of the worksheet that we started yesterday and she completely burned through it with no problems. Then we did a couple of the more difficult sample problems from her new textbook and that all went very smoothly. We ended class with deriving some trig identities and talking about how to manipulate trig arguments that you don't know how to work with in integrals. I feel very confident she will do well on her exam tomorrow."
"Today we covered implicit and logarithmic differentiation. Although both are similar, logarithmic differentiation is used when y is only on one side and equation is in y= form. We use this type of differentiation using logarithmic properties when differentiation otherwise becomes very complicated. Student has improved greatly in being able to identify when to use what differentiation rule. Teacher assigned practice problems from the book. Student is eager to learn the material."
"During our session, the student and I continued working through his calculus assignments from his textbook. All of the problems we dealt with were in chapter 7, which covers the topic of integration. Now past equations that can be simply integrated as they're given, many of the problems required algebraic simplifications, u substitution, or a combination of both in order to be integrated. He now understands u substitution very well, especially accounting for the adjustment that must be made to an integral if du does not exactly represent everything outside of u in the equation. We worked through the majority of one of his assignments, and whether it was before or after a little explanation, he understood everything very well."
"Tonight, we covered the first few weeks of calculus. Specifically, we reviewed limits and the definition o f the derivative, then the chain rule, the product rule and the quotient rule. Then we solved a couple of practice examples. Finally, we went over any problems that the student was having with her homework."
"The student and I reviewed some outstanding topics from chapters 1 and 2 which will be covered on her test. These topics included: graphing functions from information on limits; graphing functions based on information about the derivative; matching graphed functions to graphs of their derivatives; calculating trigonometric functions; calculating the derivative using the limit definition of a derivative; and an extra credit problem. She is doing a great job at learning the material and preparing for her test. Since her professor is not providing much intuition behind the material, I will work hard to help build her intuition so that she can feel more confident about applying what she has learned. I suggested that she should practice graphing functions from details about the functions of limits and derivatives. I also suggested getting familiar with drawing curves because this will a big deal in the rest of calculus. I also suggested that she try to work through more problems that involved the definition of the derivative so that she could become really familiar with the process."
"Today the student and I worked on limits and modeling. He was very perceptive and took quickly to it. He seemed to improve in the material we covered."