Recent Tutoring Session Reviews
"This session focused primarily on working on trig identities, some algebra, and the definition of the derivative. The student seemed more comfortable with trig identities this time, and asked questions whenever a step didn't seem clear. The student seems to have a pretty strong command over algebraic manipulations, and seems ready to move forward in his coursework. The student was advised that he can contact me via e-mail if he has general questions or needs some practice problems for a given section."
"This was our first session. The student had a calculus summer packet, which she needed to complete before starting the new school year. We went over problems from the packet with which she had some questions. We reviewed domain and range, graphs of different functions, logarithmic and exponential functions, trigonometric functions, etc. After we finished reviewing her packet, I gave her a preview of some of the topics that will be covered in the first few sections of calculus such as limits, the difference quotient as well as the definition of a derivative. She was engaged and receptive to learning during the session. After the session, she said that if needs additional tutoring, she will let me know. For now, this was our only session."
"We spent the first half of the session going over real world related rates problems using implicit differentiation. The second half of the session was spent introducing the second major concept in calculus, the integral. We started out by learning the power rule for integrals, or antiderivatives, and working through several practice problems. The rest of the sessions will be spent exploring basic integrals properties."
"We practiced setting the derivative function equal to zero and solving to find stationary points. We talked about graph concavity and how it relates to the second derivative. You can use the second derivative to classify stationary points as maxima, minima, or "medium flatline." We also introduced the concept of inflection points. For homework, see the problems I emailed you. Also review your notes. You're going to want a lot of practice finding and classifying local maxima/ minima, because it leads us directly into the real world skill of optimization."
"The student has a math summer packet. She has completed most of the problems. There were about 10 problems that she did not know how to approach. I helped her complete all of those problems. She also bought an SAT book. I gave her some guidance on how to use it. She reported that she made an A in second semester math."
"This is the student last session for the summer. We reviewed all the material we've done this summer with emphasis on areas that are the most important and the areas that he found the most challenging. We did optimization problems, graphing problems involving the 1st and 2nd derivatives, limits, derivatives using product, quotient, and chain rule, and integrals and their applications including areas under curves and the average value of a function."