Recent Tutoring Session Reviews
"We went over parametric equations and using derivatives to find critical points and non-smooth points. He did two problems, focusing on the use of the parametric and combined derivatives, and then the use of the derivative to make tangent lines."
"Today we mainly went over differential equations and multivariable functions, the topics he went over in class. We continued working on integration, especially solving problems that appear different than what he's used to. Per usual, we finished the session with a preview of upcoming sections, which mainly focused on partial differentiation."
"In this session we continued working to solve questions involving asymptotes and quadratic limits. The student made good progress in understanding how to solve these types of equations both analytically and graphically. In the last half hour of the session we began to work on graphing continuous and discontinuous functions based on a given set of constraints. We will continue this in the next session as well as tackle several new quadratic applications."
"We continued going through a review packet given to the student by the math department. The review packet was extensive and included differentiation using the limit definition, the power rule, the product rule, the quotient rule, and the chain rule. We are trudging through most of the packet, and I think this is good as all he needs is practice. Once we finished the packet together, I selected a few of the best representative problems from the packet, and he went back and tried them on his own. This proved to be an extremely effective method, and he really got the hang of the problems once he did them on his own. I feel that he is ready for his upcoming test, and I am excited to see how well he does."
"We covered related rate questions, especially ones that had to do with trigonometry. We discussed how to set up these questions by identifying what information was given, what the question was asking for (what the answer was as a variable), and how to use the given information to set up an equation that involved derivatives with respect to time. I encouraged the student to do more practice problems from her textbook before her test."
"We covered the first section on the student's homework, which covered using limit definitions to get the derivative of a function at a specific point. After reviewing the section, we dug into the problems for his homework. In the process, there were some key points made. I showed him how the formal derivative definitions were equivalent. I also gave him the intuition behind each of the formulas. I gave him more intuition about working with functions, and how they take input and produce an output. I then helped him with manipulating equations so that we could cancel the numerator or the denominator of our limit expression. I think in the end, he felt much more comfortable about this specific section. He should have a better basis for solving future calculus problems."