Recent Tutoring Session Reviews
"The student and I began working with differential equations tonight. At first, he had questions about the method for solving these equations and verifying the solutions, but with practice, his understanding improved greatly. We also looked ahead to preview the upcoming concepts for the rest of the year."
"We covered integral calculus applications: finding area. We evaluated two curves, three curves, x equations, and other problems. We also applied integrals to measure the accumulation of sand. The student understands the material very well."
"We covered taking the second derivative of a function and what it tells us about the original function. We also practiced sketching graphs given one graph of a function; its first derivative, or its second derivative, and then sketching the other two graphs. The student is also doing much better with finding the derivative of a function using the limit definition and we began looking at identifying some rules for taking a derivative of specific types of functions without having to use the limit definition. I've given her some links to online calculus lectures and tutorials that are useful. I've also identified some sections in another textbook that has more example problems and exercises that she can use as additional practice for the topics that we've been covering."
"The student and I met today in preparation for his midterm on Thursday. We spent the time working through a practice exam. We made it about half way working on problems that dealt with area between curves and rotational volume problems. I think overall he is doing well. He had some issue getting started into problems that he hasn't seen in awhile, but once the ball got rolling he was doing very well. We will try and meet again to tackle the rest of the material he has to cover prior to his exam"
"The student and I went over derivations of trigonometric functions as well as various other topics. We did some definite integrals and checking for slope and concavity using critical points. He seems to be doing well with the material. If there were one thing he could work on it would be implicit differentiation. He eventually gets the hang of it, but usually requires a review each time."
"This session went really well. We went over the beginning of derivatives and their conceptual meanings. The student was more confident than I had ever seen her which is great to see. While she stumbled some, she realized her mistakes were coming from not writing out minor calculations that she was attempting in her head. After realizing this she recognized her problem areas and completed the two assignments we going over very quickly. The beginning use of limits to explain derivatives is something that a lot of students struggle with and the student is no different. I believe that when she grounds this with the her knew understanding of derivative functions she will find that material less daunting than before."