Recent Tutoring Session Reviews
"We worked on sequences and series in this session. We methodically went through all the key theorems for both sequences and series and occasionally worked through example problems. For series, we went over the 3 main types of series-- geometry, harmonic, and telescoping series."
"The student has a long list of derivatives (one for each U.S. President!) to compute. He is quite good at these, but he had questions about some of the harder ones. One skill that we worked on (and which probably could use some practice) was logarithmic differentiation. We also worked out some techniques for solving equations after implicit differentiation. I demonstrated how equivalent answers could be obtained through both implicit and differentiation as well as an interesting generalization of the product and quotient rules."
"We started the session with a 2-minute multiplication drill to gauge the student's knowledge on multiples of 6. She did very well and all was able to complete the drill with time to spare. We then moved on to the day's worksheet, which covered equations and solving for the variables when given the written form. She did not have problem solving for the variable, once she was able to figure out what the equation was and identified the variable."
"This week the student went through the 5th homework for her MATLAB class. This homework focused on manipulating arrays of both double and string type arrays. Each problem was first worked out on paper before coding. She showed confidence in creating the functions necessary for the exercises, but further work could be done in the areas of indexing and masking arrays. These areas should be extensively covered in future lectures."
"We reviewed integrating functions with u-substitution to the inverse tangent and inverse cosine functions. We practiced sketching a slope field and finding a particular solution for given initial values both graphically and using the equation. We looked at how to use the slope field to determine when the solutions are increasing or decreasing, as well as to determine the concavity. We also went through finding a linear solution by setting the second derivative equal to zero to find the coordinates of an initial value, then solving for the slope and intercept."
"The student worked on her homework during our session. Her teacher has been giving her very long assignments that take a significant amount of time and brainpower. My goal for her is to become more organized with her materials and her writing. When completing an assignment, she crams things on the page so as not to waste paper, when she should spread it out neatly so that it is readable. We will continue to work on that."