Recent Tutoring Session Reviews
"We specifically covered the subsequence convergence theorem and the nested interval theorem. We also went over a few definitions so she would be prepared for her test tomorrow. If she memorizes her theorems well and remains confident, she will do fine."
"We started where we left off with the epsilon-delta proof. She explained how she got the question on her midterm and we went over any holes in her understanding. We also covered derivatives and graphs. Topics include inflection points, critical points, graphing derivative functions, and using derivative graphs to graph integral functions. She has a tough time distinguishing between derivative graphs and integral graphs and how to switch between the two to get whatever function is being asked. She seems to have a good grasp of these concepts by the end of the session. I advised that she do a couple more exercises graphing derivative functions as practice."
"We started with a mental gaffe that she'd had on a quiz problem ( <4, 3> != <4, 0> ). We then did an equation for a plane that goes through 3 points and levels for a sphere centered at (a, b, c). We'll be returning to a problem involving slopes for x and for y. We had really smooth sailing on a pair of problems with two inputs and curved level outputs, and we also revisited and really smoothed out the "heater in a corner of a wall" problem from Tuesday. As far as big picture goes, apparently her grade is trending upwards from the 73% before we started to a 77% now."
"We studied some more problems from her practice exam and went over logarithmic differentiation. She understood well how to apply logarithmic differentiation and showed an understanding of the properties of logarithms."
"We went into detail with the chain rule for derivatives. The student only needed some clarification of the process of implicit differentiation. We reviewed his previous exam and worked on any similar problems he had available."
"We went over algebraic evaluation of limits- the only new variety of problems involved, multiplying both the numerator and denominator by the conjugate of the numerator in order to simplify and solve the limit. We went over problems involving solving derivatives using the definition of a derivative, as well as a few using rules of thumb like the power rule and substitution. I tried to explain the basics of substitution a few times since it seemed to be a new concept."