Recent Tutoring Session Reviews
"The student and I started working on integral calculus. We did several problems to practice our technique and discuss the limitations of integration. Lastly, we answered some thought provoking T/F questions."
"We did test review today. The student seems confident going into her exam. I recommended a couple of problems from her textbook to attempt on her own."
"Because the student has a quiz tomorrow, I reviewed with him the material that his professor will be putting on the test, which covers differentiation and its respective concepts, not including the product and quotient rules. During our review, the student had the rules pretty well understood and memorized, with the exception of the chain rule. He needed to get the hang of the chain rule with regard specifically to placing his parentheses correctly around the two factors being multiplied. This I think is really his biggest flaw when it comes to differentiation. Otherwise though, he will be fine on tomorrow's quiz. Even taking into account the chain rule, over the course of our session, he corrected his mistake before making it. This is a good sign and he showed he is able to quickly correct his mistakes in the long term. I left him a set of practice problems asking him to differentiate around ten functions, two problems asking him to find the equation of the tangent line at a point on a graph, and one question asking him to find the slope of the tangent line at a point on a graph. We reviewed the matter of tangent lines as well. I went through a few similar questions, asking him to find the equation or slope to the tangent line at a point on a graph. The student makes an arithmetical mistake here or there, but nothing major, speaking about all of this material. Because I felt he will do a well on his quiz tomorrow with the review he's gone through and the set of problems I left him, I thought for the last twenty minutes we could go over the product and quotient rules. He is picking differentiation up quickly, but I told him that this is good he is comfortable with this part, because the rest of calculus ups its game."
"Today we were reviewing for an upcoming tests, so it was a variety of algebra and calculus concepts, including limits, limits from the left and the right, continuity, discontinuity, definition of a derivative, finding the derivative, product rule, chain rule, quotient rule, L'Hopital's Rule, and indeterminate numbers. I really think that she underestimates the amount that she knows and is capable of. It seems like when I introduce a subject to her, or have her walk me through working out a problem, she is really able to grasp the concept. I like being able to explain why things are in math, like with trig functions, and her seeming to understand it. That being said, she is still a little shy, and I hope that with the more sessions we have, she will be able to really open up to me, and be able to ask me more questions for anything that she's having trouble with."
"Today the student and I worked on finding the range and domain of a function, linear equations (general equations), writing and evaluating functions, graphing functions."
"Today we covered derivatives including the limit and tangent line based definitions. We also went over his old test on limits."