Recent Tutoring Session Reviews
"Tonight, the student and I practiced convergence testing and error bounds for partial series. He understood convergence testing right away, but had a little trouble getting used to the methods for finding error bounds. Once we found solutions, he understood them."
"We discussed how to match the graph of a derivative to the graph of its function using slope. We then worked on analyzing functions using graphs. We moved onto analyzing functions computationally. We found the first derivative, second derivative, domain, critical points, points of inflection, etc. of a function and used this information to sketch a graph of the function. It was a lot of material to retain so I clarified each step as we went. After our session, the student gained a much better understanding of the material; we will continue to practice."
"This was my first session with the student. He's entering the final stages of Cal 1, which means integrals and everything that comes with them. He's solid on the fundamentals of integration, though his class hasn't covered u-substitution yet, so we'll probably be talking about that next week. What's giving him more trouble is the theory and practice of Riemann sums. These are annoying and weird for everyone, so I just tried to explain the basic idea and "purpose" of R-sums, which seemed to help. We did one problem, which he did well, and then talked about some variations on that same problem. He doesn't have any tests or quizzes soon, so next week we'll be doing the same stuff, but more in-depth, and also covering u-substitution, which I'm sure he'll have learned in class by then."
"The student was preparing for a test. He wanted to review area of a region, net change and particular motion, and differential equations. We went over some Free Response Questions for AP Calculus AB on those topics, and after the problems he felt more prepared for his test."
"We worked on story problems involving solving a system of linear equations with more than one variable. We also took into account remainders and analyzed whether our answers would be feasible in the real world."
"Today, the student and I worked through solving systems of equations by back substitution and elimination. Coming into the session, he was confused about the elimination method and how to maintain 3 equations in the system while manipulating and solving. After practice and explanation, he seemed more comfortable. He was able to solve problems on his own, without any help/prompting. We practiced some application problems and will spend most of our next session working on these to prep him for his test. I will be emailing his teacher to ask if she can give any other practice that will lend itself to test material."