Recent Tutoring Session Reviews
"Overall, the lesson went really well. Before the lesson, the student sent me some of the problems she needed to work on to study for her exam, so we reviewed those in detail. We started by discussing some of the more fundamental concepts--such as how the derivative of a function gives the instantaneous rate of change of that function at each point--and then proceeded to complete complex differentiation problems using the product, quotient, and chain rules. In addition we discussed how to do implicit and logarithmic differentiation. Although at the beginning she was feeling quite lost, by the end of the lesson she felt she understood the concepts behind each problem and how to approach them. At the end, we discussed general study and exam tips, and I suggested practicing more problems on her own so she becomes more comfortable applying the concepts she knows."
"She and I covered problems that she got incorrect on her homework, and we worked on drilling the chain rule, product rule, and quotient rule, as well as reinforcing rules for differentiating exponentials and logarithms with or without bases of e."
"She and I spent the majority of our session reviewing trigonometry and the unit circle. We went over converting between radians and degrees, the trigonometric functions, and finding the values of the unit circle by symmetry. We also went over the derivations of 30-60-90 and 45-45-90 triangles from the Pythagorean Theorem and a bisection of an equilateral triangle. After working through these concepts, she was able to convert easily and find trig values. I suggested she practice filling in blank unit circles until she was able to do so quickly and correctly. We then talked briefly about epsilon-delta limits and started a problem. "
"She and I went over finding if a limit exists, using the difference quotient in order to determine the derivative and to find the value for the slope of the tangent line to the graph at the given point. We spent most of our time on this, but we also talked about chain rule and power rule. I've asked her to complete as much of her review as possible so we can meet tomorrow to go over what specifically she does not know or is unsure of for the test."
"She and I worked on calculus and physics. In physics, we worked on constant acceleration and constant velocity problems, working between graphs of position vs. time and velocity vs. time. In calculus, she worked on the chain rule and applications of the chain rule."
"She did well on her most recent calculus quiz, and we reviewed for her tomorrow's exam. We went over the review sheet that her teach her gave her, and it's over simple derivatives of polynomials, as well as trigonometric functions. She seems that she will be ready for the exam. Finally, we went over a physics lab, which involved figuring out how to graph the data, which we did."