Recent Tutoring Session Reviews
"She and I went through all the problems of the homework regarding finding derivative using the limit definition, giving the value of the derivative at a particular point, and then giving the equation of the tangent line. We also did this graphically. Finally, we worked on limits of trig functions and squeeze theorem. We did all problems in the book regarding this topic, and by the end of our session, I believe she had a much better understanding of how to do problems like these."
"Student one finished his online homework about limits; in particular, it was about continuity and finding limits by substitution. We then worked on future material about infinite limits and asymptotes. Student two reviewed for her upcoming test, focusing mostly on atomic theory, electron configuration, waves and energy. She struggled most with atomic theory, mostly because she was learning through repetition while filling out a table rather than remembering the concepts. Likewise, she expressed little prior knowledge of waves and their equations and still seemed somewhat confused by them after a short practice."
"The big things to remember today include: When the student sees a function that is the quotient of 2 functions, like sin(x)/x, use the quotient rule. It is the simplest and fastest way to achieve the answer. The same applies for the product rule. He needs to remember that (a+b)'=a'+b', where a and b are functions. You don't always have to simplify; ask your teacher for specific instructions, but it generally is less important than taking the derivative. "
"The concepts we covered today included recognizing limits, holes, jump discontinuity, piecewise functions, and continuity of functions. The student did very well, but I recommended that she writes down her thoughts and uses more visuals for better understanding. Overall, her math acuity is good. This was a good session."
"The concepts we covered were the following: a) graphing functions of two variables, b) level curves. The student was committed to learning the concepts. One strategy I left with the student is in how to graph level curves. The first step is to pick a constant value for z=f(x,y), and then isolate the variable y in which one can graph in the x-y plane. Moreover, level curves are projections from the surface generated from the function of two variables. Picking many values of 'z' creates a family of level curves projected onto the x-y plane. Level curves gives one an idea on what the surface looks like when plotting a function of two variables. The student seemed to get a better understanding of the concepts at the end of the session."
"The student and I began covering limits, which will lead up to being able to take derivatives, a key concept in calculus. We cleared up some issues at the beginning of a session in terms of limits and what they are and spent the majority of the session working on examples to help her understanding. At the end of the session, I felt she understood the concept of limits."