Recent Tutoring Session Reviews
"Today we worked on several topics, including inverse trig derivatives, finding limits with L'Hopital's rule, mean value theorem, Rolle's Theorem, and sketching a curve. Today we got in some very good practice using a unit circle to estimate values in order to determine whether a function is increasing or decreasing over an interval, and subsequently to determine the local minimums and maximums."
"Today, I assisted the student with a problem set covering the solutions of separable ordinary differential equations as well as the graphing of a differential equation's slope field. The student was a bit confused on the methods for solving these problems, so he worked through each of these problems one at a time to confirm his work with me and receive immediate feedback if he answered a problem incorrectly."
"Today, the student and I discussed differentiation rules for natural logarithms, as well as reviewing some general calculus concepts. He did well, and his understanding seemed to progress throughout the session."
"Today, the student and I reviewed the material that will be on his final exam. He earned a good grade on his midterm that he is trying to maintain. We went over about half of the material and will meet again on Wednesday to finish. This was an overall productive session."
"Today, the student and I went over a practice exam for her exam coming up this Friday. The topics that we covered including finding limits algebraically, finding the product/quotient of variable expressions, determining limits graphically, finding the domain and range of a function, determining the end behavior of a function, determining on what intervals a function is increasing or decreasing, and factoring differences of perfect squares. The student is definitely a visual learner, as the problems that seemed to come most naturally to her were those depicting graphs. I think that she did a good job of asking questions when she did not understand what I was teaching. There were a few problems that I left with her to do on her own and told her that she was welcome to contact me with help for them or to go over the answers together. I told her that I am available via phone, email, or an online session to help her practice before Friday's exam."
"Today, the student and I worked on approximation techniques for integrals. We went over approximating integrals using Riemann sums with left endpoints, right endpoints, and midpoints. We went over approximating integrals using the trapezoidal rule, as well. We also discussed computing average value and average rate of change, and we went over finding instantaneous rate of change using product rule derivatives."