Recent Tutoring Session Reviews
"Today, the student worked on her challenging take-home quiz. Two of the questions covered related rates. One, she was able to complete. The second problem was difficult, and required her to work outside the session. The last problem was straightforward, and she completed it easily."
"Tonight we covered differentiation techniques, including the chain rule. As always, the student had a great attitude towards the reviewed material. I only included organizational strategies during this session. "
"Tonight we worked on going over some of the questions he had about the definition of a derivative and how to use it to solve some problems. We also talked about the difference between tangent and secant lines and how to determine if a function is continuous and differentiable."
"Topics we covered in today's session included intuition for derivatives, algebraic interpretation of slope versus the calculus interpretation, formulae for the derivative (at a point and general derivative function), and general derivative rules (constant multiple, sum-difference, product, quotient, and chain). Then, we moved on to other concepts, including common derivative rules (focused only on x^n), intuitive notion of limits as behavior of a function, calculating limits analytically, graphically, and numerically, conditions for continuity, and one-sided limits and infinite limits."
"Unit circle, right triangle trig, polynomial long division, polynomial synthetic division, and inverse trig were all covered today. The student did not struggle with the material. She could practice unit circle flashcards to increase fluency, but she understands the unit circle and can construct it from memory perfectly well. I informed her about the flashcard program if she wanted to do this. She's great to work with. She has an excellent attitude and always is curious to learn more! We discussed how to check answers of an equation by graphing them, and I showed her some helpful features on the graphing calculator."
"Very good session -- we went over numerous ways of calculating limits. This included direct substitution, factoring, expanding, using sin(x)/x, multiplying by the conjugate, and squeeze theorem. The student's big win for right now is that she has mastered the squeeze theorem, which is a thing that has given her trouble in the past. In our next session, we ought to go over continuity, which she gets, but has not necessarily mastered at this point."