Recent Tutoring Session Reviews
"The student and I got off to a great first session covering several rules of calculus. More specifically, we went over the product and chain rule by working through a worksheet. The student was quick to catch on to the specifics of the rules and was able to complete the worksheet with minimal help."
"The student and I had a very good session today. We spent the session going over different problems he had been assigned that he identified as struggling with. This included problems that dealt with implicit differentiation, complicated problems using the chain rule and an intro into anti-derivation/integration. The student continues to do well at determining where he struggles ahead of time and focusing on filling in the gaps during our session. Very productive overall."
"The student did not have a "big picture" concept map for AP-level calculus, how the concepts of limits, derivatives, etc. tie together as a whole. This was resolved by remedial lessons on deriving simple derivatives from first principles, using the limit definition of the derivative."
"In this session, we went over optimization using calculus. The student was struggling with this concept until I was able to point out how it was related to previous topics on first derivative test and other applications of derivatives. We went over several practice problems, during which the student became more comfortable with the problems. We also went over the relationship between position, velocity, and acceleration."
"After helping the student with her engineering design project (artificial hand) we covered limits. We got as far as covering 4 possible outcomes, over and above a straight forward limit, for evaluating the limit of a function. That is 0/x, x/0, 0/0 and infin/infin. We looked at the graph of several examples to figure out the limit. This is the perfect lead into L'Hopital's rule. Next week we'll continue with Statistics. Student is very bright and picks up on the concepts of math very quickly."
"We covered derivatives and their applications to economics problems. We also went over the intermediate value theorem as well as exponential functions and their derivatives. The student was not really struggling with the material as she had a solid foundation of the calculus."
"We went over her class notes over the new subject matter that she had been given a few days prior. After reviewing some topics from last semester's pre-calculus class that would be used for solving the current chapter's material, we worked on and completed her homework assignment, consisting of 10 problems. The material consisted of first and second derivative calculations in order to determine concavity, inflection points, and critical points (maximums and minimums)."
"We covered Optimization problems, and techniques- mainly the Constraint and Maximizing equations. The student really understands linearization and the idea of mins/maxes and derivatives. We also covered the anti-derivative, or the integral of a function. We also did Riemann Sums and spoke about how it is used."
"The student and I covered antiderivatives. We discussed how to find them, what they are used for, and some practical applications. We went through a couple of problems so that he could understand better how the information in the problem was applied to equations. I have no concerns for this session."
"Tonight we held a review session for her physics exam. The student is doing very well and has a good grasp of the material. Her next exam is on Forces, and the sum of forces, which is what we reviewed tonight."
"The student told me she's right on the border of a 65% in the class, which counts as a "C." Today was all about L'Hopital's Rule to solve the limits of indeterminate forms, so we practiced on lots of indeterminate forms."
"Today the student and I looked at the beginnings of anti-derivatives and area under the curve. He takes great notes, and seemed very comfortable with anti-derivatives, so we focused more on area under the curve. He seemed to get a good grasp on the rectangle approximation method, as well as using the left, right, and midpoint strategies. We finished our session with Riemann sums and the homework from his book."