Recent Tutoring Session Reviews
"The student and I continued working on differential equations today, particularly those dealing with logarithms, as well as slope fields. He is continuing to improve at solving the equations, and slope fields did not give him too much trouble either."
"I reviewed with the student some basic concepts about indefinite and definite integral: definitions, fundamental theorem of calculus, areas and definite integrals, mean value theorem, approximation of Riemann integrals using trapezoid and Simpson's rules."
"The student and I just finished our second session, during which we covered the derivatives of functions, third and fourth derivatives of functions, interpreting graphs with respect to derivatives, and using first and second derivates to identify the critical points and concavity of a graph of a function. He understood the material very well and his work for the problems covered should help him to complete similar problems until our next session. Certain problems required knowledge of additional concepts such as the quotient rule and the chain rule in order to complete them, so I refreshed him on these concepts and after he remembered them he completed the problems very easily on his own. We worked through his homework problems for section 5.3 from his textbook and discussed some of his upcoming tests for other courses, and I'm looking forward to our next session on Monday!"
"Today we worked with a few types of problems that had been difficult for the student. We talked about Euler's method of approximations and did a few sample problems to get a sense of what to do. We went over one problem which required taking a derivative by taking the natural log of both parts of the equation. We ended with some implicit differentiation problems and a few where we had to find where the function was increase/decreasing and concave up/down."
"We went over the student's previous exams. We covered calculation of the parameters of the equation of a plane in 3 dimensions if one knows 3 points on the plane. We used elimination of unknowns and back substitution. We also covered the method of completing the squares for a simple example where we had to determine the type of a curve in rectangular coordinates. Lastly, we went over all basic properties of logarithms, log of a product, log of a power, and log with a base that is different from 10 or e. We did numerous exercises to become well acquainted with the log function and its inverse. Student is upbeat and eager to study the new materials."
"I introduced the 7-step process for solving related rates problems in preparation for the next section in his curriculum. We reviewed three problems and worked through each of them. At the end, we reviewed implicit differentiation, and the student completed 11 of the 12 problems successfully from his online work. Randy is to do the following: complete problem 3 from assignment 6, as well as to spend roughly 3 hours on related rates problems. He can get these either from his textbook, or by searching for "related rates problems" on the internet. There are multiple sites available. He is to have related rates problems available for us to discuss on 3/17 - he should have a minimum of 10 questions completed from various sources. I will have access to my email on vacation if there are problems finding questions to complete."
"Today we covered the idea of a closure, a limit point, and norms of matrices. So far the student seems to understand the ideas and concepts; he's doing a great job at understanding, but I want to make sure that he can also apply these ideas on mathematical proofs. The session went well."
"The student did some assigned problems on finding extrema of a function. She got the basic idea but needed some help with a couple situations. We did some extra practice problems that allowed us to compare solving graphically vs. analytically. They also gave her some more practice with logs which she needed."
"We worked through Calculus practice problems in preparation for an upcoming test covering volume calculations, centroids, and work. After conceptually reviewing these topics, there weren't many issues on calculations. A couple of hints were needed at first to set up a problem; the goal is to understand that the setup of these problems are extremely similar."
"Met with the student and discussed various calculus topics including how to find limits, calculating derivatives, product rule, chain rule, quotient rule, common derivatives, etc. We went over some old exams provided by his professor and discussed how to solve the problems."
"The student and I continued working on difficult integral calculus problems. We covered inverse trigonometry derivatives, logarithmic, and polynomial derivatives."
"The student and I primarily discussed applying derivatives to describe the behavior of functions. This included the 1st/2nd derivative test, concavity, and continuity."