Recent Tutoring Session Reviews
"We went did more advanced optimization problems. Once he translates the problem into an equation, he has no problem getting the critical points, but he often has trouble getting the equation right. I told him that substituting variables and getting the equation in terms of one variable is often the right approach."
"Today we tried to finish up going through the student's textbook. We covered the alternating series test, since he mentioned that he didn't quite get that last time. Then we moved on to what he would expect in multivariable calculus. We went in depth with vectors and their notation, and touched on numerous other topics. We mentioned partial derivatives, multiple integrals, Green's theorem, Stokes' theorem, and Gauss' divergence theorem. I think he will be more than ready for his calculus classes this upcoming semester!"
"The student had questions from the homework. Then we worked on practice problems from optimization problems, graphs, and focused heavily on limits. I then made up a 50 minute exam for the student that he is going to do for homework and we will discuss it at our next meeting."
"We worked on volume integrals on Cartesian coordinates, both by cross-sections and by revolution. We spent most of our time on the disk method, but we touched on the shell method at the end. I gave him a new way of thinking about integrals, that being a infinite number of infinitely thin objects. Once we established how to think about them, he didn't have nearly as much trouble sussing out how to attack a problem."
"We went over the problems I had assigned last week and I tried to answer any questions the student had. We then went over related rates and worked through different types of problems as well as optimization. I asked him several different types of questions so he becomes familiar with the concept as well as how the questions may be formatted. We will continue working on calculus on our next sessions, and we will be covering integration as well as sequences and series. I gave him extra practice problems to work on. He was receptive to learning and engaged during the session."
"Today we reviewed all the topics in the course. We covered sequences and series, work, integration by parts, differential equations, surface areas and volumes of solids of revolution, centers of mass, polar graphs, and conics. The student was eager to learn the material. He understood everything fairly well. We were able to break the concepts into simpler terms. His main problem before was setting up the integral. Now he is much better at it. Since he improved on this, I would say he is much better at calculus overall."