Recent Tutoring Session Reviews
"We covered the places a derivative does not exist and then becomes a critical point. We reviewed the limit definition of the derivative and used it to derive the product and quotient rule. We are really just spending time on fundamentals and not doing many problems yet. I think I will start introducing homework next week to keep her fresh on the material we are covering. Next week our entire session will be dedicated to the chain rule."
"The student worked on homework from the first chapter in calculus. She worked on problems that asked her to identify whether precalculus methods vs. calculus methods could be used to find the solution to a particular question. She also worked on problems that asked her to find the area under a curve using rectangles and combining the areas of the rectangles to get an approximate area. She finished the homework by applying the limit equation to find the slope of a tangent of a graph in order to find the rate of change of a function at any given point."
"In our final session, we worked on problems in optimization, focusing especially on setting up geometric problems. We also briefly introduced the concept of Euler's number and natural logarithms, and learned a new rule to differentiate ln(x). In the weeks before starting grad school, review and practice everything we've worked on. If you have extra time, teach yourself the rest of the differentiation rules on your cheat sheet (they're very simple, but remember that they continue to draw upon the chain/ product/ quotient rules). Also do a bit of reading into trigonometric functions and logarithms. Great work these last three and a half weeks! Good luck this fall!"
"Topics discussed: Limits, Limit Laws, Algebraic Evaluation of Limits I reviewed the concept of limits with the student to ensure that he had a firm understanding of some of the fundamental elements of calculus. He understood the concepts we covered quite well."
"Yesterday we focused on the chain rule of derivatives. The student is very inquisitive and wants to fully understand everything instead of just being able to use it, which is wonderful. The chain rule is a difficult idea to understand, and also a difficult one to teach, but eventually we found enough examples that she started to see where it comes from and why it works. She has a very substantial head start in her calculus class, and I'm sure that she will do fine in her class this year."
"The student and I met for the first time in this academic year. We reviewed one of the foundational topics in calculus: limits. Using graphs and function, we discussed how to find a limit, special cases, and the difference between limits and continuity. She and I went through previous class and homework in which she had gotten some incorrect answers, and she successfully explained her mistakes and made the appropriate corrections. Next week, we will likely discuss rate of change."