Recent Tutoring Session Reviews
"The student and I worked on finding area between curves today. She had some misconceptions about more complicated variations on the concept, but she picked up on my explanations very quickly."
"This session was spent going over the review and practice problems for the student's calculus test today. These were mostly problems where we needed to take the derivative of a given function. They involved product and chain rules and we did a few problems with implicit differentiation. We discussed how to make a piece-wise function continuous and differentiable, and worked out a sample problem. We ended with a problem using Euler's method of approximation."
"Today we covered series, sequences, and factorials (which individually weren't new concepts but which lead to more interesting problems when combined). In the process of talking about the nature of sequences and factorials, we began a light covering of discrete derivatives and how they can be used to think about sequences in a different way (ratio of change between terms rather than explicitly calculating each term)."
"We went over optimization homework problems. The problems involved using first and sometimes second derivatives to optimize price, find maximum distance, max or min temperature, etc. The student understood how to do different types of optimization problems after we did a few."
"She has a test on Thursday. We reviewed one problem of each type on vectors and angles. Since she did not have a review sheet, I tried to pick one problem from each type. Next we worked on adding vectors. She worked very hard, and I think she is ready for her exam."
"We worked on problems with areas between curves. It's a fairly straightforward application of integration. He mostly had trouble remembering which buttons to press on a calculator to get a numerical answer (required by some of the problems). We had one problem that required a little explanation. It involved setting up an equation involving an integral. It came down to assuming we knew the missing value, giving it a letter (b), and solving the integral equation for b."
"We reviewed the student's first homework assignment, which is due this Friday. We were able to get about halfway through the problems. The problems are long and tedious, but they cover a lot of good material that is worth practicing as the final exam approaches. I suspect that the second half of the homework assignment will be easier and quicker (implicit differentiation). We are meeting tomorrow to discuss the homework assignment #1 and assignment #2."
"Today the student and I reviewed his class note in preparation for his test. He seems to be getting a better grasp on the subject, and I think by the test next Thursday he should be ready. I left him with the sample problems package that his teacher gave him to study. We will review the rest next week."
"In today's session, the student and I covered the First Derivative test and the Second Derivative test. We covered several practice problems and created a step by step breakdown to translate these rules and inferences into actual graphs and equations. For the First Derivative Test, we performed several practice problems where we found the critical points, the local max/min, and translated the critical points into positive and negative ranges. For the Second Derivative test, we related the theorem into inflection points and the appropriate concavity of functions."
"The student and I worked on subjects that were going to be on his upcoming test. We worked on what it means for a function to be differentiable at a point and continuous at a point. We looked at definition and theorems to know what to do given a function and a point."
"The student did well on the last test with integration and received a B+. Today we learned u-substitution. We worked on what u should be when assigning it in the method. Overall good session."
"Today, the student and I reviewed derivatives (using power rule), approximation using differentials, critical numbers, absolute extrema, and trigonometric derivatives. He had a few questions regarding the use of differentials to solve a function. However, he began to understand things more as we did more problems. He has a good understanding of the power rule. I will suggest that he practice as many differentiation problems as he can. This will help him to understand the concepts even more. I will be sending the notes from today's session over to him by the end of tomorrow."