Recent Tutoring Session Reviews
"This session we covered limits again; more specifically we covered limits to infinity using algebra and graphs. Since the student missed class I also went over the different methods of finding limits to infinity by dividing both the top and bottom of a rational function by the highest power. She was getting the material pretty good; it was just a matter of learning what she had missed in class. She did most of her homework pretty well and still has a few practice questions left that she can do that her teacher gave her. She made progress on her last test retake and got a much better score."
"Today, we went over the student's weekly problem-set. We touched on derivatives found through the quotient and chain rules. We explored the depths of third derivatives. Afterwards, we encountered a very interesting problem dealing with a cylinder with a surface area of 2*pi*r(r+h). This problem solidified the approach for finding the rate of change with respect to a given variable. His entire demeanor changed as he began to understand exactly what the problem was asking: he became more confident in his mathematical skills and approached the problems like a true mathematician. His logical skills are becoming more concrete, which will help him not only in the area of mathematics but will also take him far in medical school. We covered a lot of material in just an hour and a half, and his understanding for the subject matter has shown great promise already in our second session!"
"We went over tangent-line-finding, computing derivatives by limit computation and by techniques such as the product rule, and how to relate derivative graphs to function graphs. We're meeting tomorrow from 1-3 to go over the rest of this week's work/topics."
"This tutoring session began by reviewing the content from an exam. Most of the session was spent building a strategy for factoring a function. We also spent some time focusing on limits and derivatives. The student seemed to be content, and I left him with some notes to take home and study from. We will be reviewing current chapter content, and I will be providing some additional support to clarify problems from the exam at our next session."
"We reviewed the various rules of differentiation, including product rule, quotient rule, addition rule, subtraction rule, and constant rule. We covered problems including a combination of two or more of these rules. The student had the most difficulty applying chain rule because he could not identify the inner and outer functions. I suggested that the outer function be written as f(x) and the inner function be written as g(x). Then, when writing f(g(x)), we can check whether it is the same as the function in the given problem. He was eager to learn the material."
"This was our first session. We went over the student's quiz, looking over the questions that he missed and reviewing the materials that it covered. We went over the definition of a derivative, how to find the slope and equation of a tangent line, and the derivative rules (power rule, product/quotient rule, the chain rule, etc.). We then discussed his study habits and strategies he can employ to improve his time management skills and study techniques. He was engaged and attentive during the session."