Recent Tutoring Session Reviews
"The student and I had a great first session, during which we primarily reviewed material from her first quiz that tripped her up, especially the application of the limit definition of derivatives and applications of the power rule for finding derivatives. We also reviewed implications for reading and interpreting graphs of derivatives. She seemed to really grasp the concepts we discussed. Moving forward, we will work on new material as she gets it and prep for examinations and quizzes, starting with a session on Wednesday after her class."
"The student and I reviewed using linear approximations to estimate values and Newton's method for finding approximate values of zeroes. She was very strong with finding linear approximations for square and cube roots, but had some difficulty with exponentials. She also struggled when the linear approximation formula and question both called a variable x, but referred in actuality to two different variables. With Newton's method, the student initially did not understand the recursive formula, but after seeing an example was able to execute the rest of the problem perfectly. We also focused today on checking for reasonableness of answers, and talked when roots of functions might occur. She will continue to study for her exam. I suggested flashcards for formulas to memorize as well as attempting as many practice problems as possible."
"The student and I specifically covered derivatives and the chain rule. They were attentive and active through our session."
"The student and I spent another day jumping between topics as we get her back into the swing of things. We focused on topics from the first two chapters of her pre-calculus textbook, and I made a point of showing how they could connect in the future to calculus. Overall, she did great and we will start focusing on future chapters in the next session."
"The student and I spent one hour on physics and one hour on calculus. In calculus, we reviewed her homework on related rates, and we also worked out a related rates problem with a ladder leaning against a wall and the bottom of the ladder sliding away from the wall. In physics, I wrote out a problem to test her understanding of displacement, velocity, and acceleration. I wrote a displacement equation, and I asked her to find the velocity and acceleration equations through derivation. We also had time to review how to find the tension in two cables holding up a sign given the angles the cables form with the horizontal and the weight of the sign."
"The student and I spent our final lesson by going through the topics and practice problems presented in the study guide for the final that his teacher provided to him. I found that he could complete most of the problems easily and there was no clear area of concern. Limits, volumes of rotation, and tangent line problems were some of the types of topics we covered and none of them seemed particularly difficult for him. I did suggest that he have a paper of all of the formulas and identities in order to eliminate confusion. All in all, I enjoyed working with him; he was very nice, thoughtful, and eager to learn the whole way through and I wish him well on his future endeavors."