Recent Tutoring Session Reviews
"We went over Chapter 10.1, and the problems he had for his class. He was very well prepared for the tutoring session and was a pleasure to work with."
"The student worked on a practice test that his teacher had given out. He had worked on some of this practice test with a friend, but I don't think that he fully understood how to do it independently. We went through the test question by question, and the largest issue that we identified is that he had difficulty integrating. Specifically, he had trouble starting a problem. We wrote down a summary sheet of all of the common types of integrals and their solutions. The way to start the problem is to write down which one of these we will use, verbatim from the sheet. We called this the I KNOW statement. The next step is to match up what our problem looks like to what the I know statement looks like, and make some comparisons. We called this the HERE statement. Then the next step is to look at the right side of the I KNOW equation, to find our answer. Then you copy that down while substituting in the values from the HERE statement. Then you have to evaluate this at the bounds of the integral, and if there are no bounds, you have to add a +C. I noticed that he had trouble doing this process, and so for the rest of the class, we drilled it, again and again. By the end of the class, he had a much better idea of what he was doing."
"The student worked on her homework. She has done much better at keeping up with the material covered in class and using her professor's office hours as an additional resource."
"Another productive session. The student is good about having specific topics to discuss and providing examples. We discussed the fundamental theorem of calculus and a few Riemann sums. We also discussed a few ways of finding numerical answers, including the calculator when necessary."
"Today, we went over the definition of the derivative and used it to derive the derivative of sine and cosine, as well as powers of x and the pattern for those. In going over x powers, we covered Pascal's triangle (coefficient derivation for polynomial expansions) and the tricks for getting rid of square roots. She seems to be getting a good hold on the definition and how to use it, we will continue our work in derivation tomorrow, hopefully covering natural logs."
"The student and I covered Rolle's theorem and the mean value theorem. We did graphical exercises and examined the technical details of each theorem. Various functions that are continuous but not differentiable were examined. We then proceeded to do 10 problems using Rolle's theorem. The student is proficient in differential calculus and factoring. We are mostly focusing on the graphical interpretation of algebraic functions."