Recent Tutoring Session Reviews
"We worked through several homework problems that focused on the use of the chain rule and product rule of differentiation. We also went back and addressed a few problems from earlier work that had been missed."
"In this session we talked through some of the student's online assessment problems. The main topics were exponential growth/decay and half-life. He had a really strong understanding of the exponential growth/decay problems, especially those pertaining to business-specific applications, so he simply walked through most of the problems with minor supervision. I showed him the proof for the half life problem, which helped explain where the equation in his book came from. The last hurdle was a problem with Newton's law of cooling. Before finding it in his book, we rederived the equation by hand to understand what each part represents."
"We covered calculus topics. We went over basic differentiation techniques and how to find tangent lines with them. We focused on implicit differentiation, and with a little help and a couple of examples, the student picked up on the concept. We also touched on indefinite integrals and how to find the value of the "+C." He seemed to enjoy doing the math and made progress."
"We discussed the solutions for exponential and logarithmic equations and went over applications for the laws of logarithms. Next we evaluated inverse trigonometric functions and trigonometric expressions. After that, we solved problems that invoked a definition of limits. We also defined a limit at infinity and the equation of a vertical asymptote. Finally, we graphed a piecewise function."
"Today, our last day tutoring, the student and I made what progress we could toward preparing her for her final exam, which is comprehensive. Although her teacher did not prepare many materials for studying for the final, we made our way through everything he did provide. Most of the material was from early in the semester, before the student and I were paired. It was good to go over this material with her since it appears she did not learn it very well/deeply. We reviewed first and second derivatives and their relation to finding critical values, relative maxes/mins, concavities, and inflection points. I also explained the Mean Value Theorem to her conceptually, so that she knew how to apply the theorem to word problems (the hardest part of math for her). Although it would be much better if we had more time to catch up on old, rusty material, I trust that the student will do well on it. In my brief assessment, I would guess that she will need to do a fair amount of prep and review after today to earn something in the high "B" range."
"The student and I worked on preparing for an upcoming quiz on polar coordinates. We worked on solving simultaneous polar equations, plotting polar equations, and converting polar and rectangular coordinates. The student appears to be pretty comfortable with the material, and we addressed any questions he had."