Recent Tutoring Session Reviews
"We covered differentials and integration through U and algebraic substitution with trigonometric identities. For the first 45 minutes, we did a review of last semester, as the student had a few questions concerning the quotient rule with differentials. With U and algebraic substitution, she struggled with labeling parts of the equation with "U". This was new to her, so we had to "tweak" her way of thinking. I am confident that she will do well on her test on Friday. We went over multiple lessons, and I feel that she had a good grasp on everything. We reviewed multiple problems from her homework, and we did some practice problems together, and then I let her do some on her own."
"We discussed critical points of functions and how transformations affected their locations. The student needs to remember to distribute signs and that variables can represent constants. We discussed how to remember to compensate for these."
"Finding limits of rational functions and piecewise functions, if they exist. Finding limits from graphs, if they exist."
"Today, the student and I worked on functions, limits, and derivatives. We worked on understanding limits and when a function is defined or undefined. He was very inquisitive and motivated to learn as much as he could. I included the strategy of writing logs as an equation with an exponent. He will do problems on his own from the book for practice. He was able to determine what a log function looks like by plugging in values, while knowing nothing about logs from the past. Excellent!"
"This was the third session working with this student. We went over her first exam and the problems she had difficulty with. Topics covered ranged from trigonometric simplifications, domain and ranges of functions, to inverse functions, limits, one-sided limits, and curve sketching. She needs to improve and I think we've made some progress. She has two more exams and a final so there is plenty of room for her to get a good grade in the course if we keep her up to date. I will follow the topics she's on in the class and provide supplementary notes between sessions."
"The student and I began work on solving trigonometric functions and their inverses, proving trigonometric identities, and performing trig algebra. He struggled initially with the operations of trig functions, so we reviewed the laws of these functions, including what happens to a squared trig function, a multiplied value within the function i.e. sin(2x) vs 2sin(x), and their interchangeability. We went over his homework to examine and cover these concepts. The primary approach to improve one's intuition for these problems is to memorize the unit circle, the trig ratios associated with the functions, and the trig identities. Using these core concepts, I provided him with a system of approaching these trig algebra problems that breaks down each problem into more manageable portions before performing algebra to solve them. We will continue practicing this material during future sessions and work to develop his intuition for these sort of problems."