Recent Tutoring Session Reviews
"The student and I explored using integration to calculate the areas of solids. We used cross-sectional areas for different geometric shapes, and rotated function of sauce, and rotated function across lines. We discussed the differences in the formulas and the conceptual implications of these problems."
"The student has a test on sketching a curve. He no longer has problems finding the domain, end behavior, critical points or points of inflections of a given function. I did clarify to him how to find horizontal and oblique asymptotes as well as symmetry of a function. Sketching a graph is a long process so we were only able to get through two examples. He still has trouble sketching a graph using certain guidelines, but since his test is tomorrow, I gave him some strategies that would help him do this on his test."
"The student has a test next Thursday, but he's in a pretty good position! He knows his integration fairly well; he was having trouble with u-substitution due to a large misunderstanding of a particular thing, but after I corrected him he was able to do the problems well. After that, we went over a grab bag of various concepts, mostly from the "Fundamental Theorem of Calculus" chapter or things I made up. I think he is going to do well on the exam!"
"The student was able to complete the assignment that he was asked to do. We then began reviewing for his test on Friday. He was able to complete the problems we were able to work on, although needs help recalling some of the basic math concepts (i.e., areas of rectangles) that he needs to have memorized. We reviewed each of the different types of problems that will show up on his exam."
"We discussed the material covered in class since our last session, and reviewed past material in preparation for the student's test on Tuesday. The new material was applying L'Hopital's Rule, which he was able to pick up fairly easy. The past material we reviewed included approximating the area under the curve and taking the limit of Riemann sums to find integrals. The student has a good grasp on how to solve these problems."
"We covered computing indefinite integrals, the substitution rule for indefinite integrals, as well as the first fundamental theorem of calculus (for definite integrals.)"