Recent Tutoring Session Reviews
"Today, the student and I reviewed a worksheet which presented nine multiple-choice problems and four free-response problems covering calculus topics related to the average value of a function over an interval as well as particle motion. As usual, the student worked through these problems one at a time and compared his work with my previously completed solutions. The student got most of them correct, asked incisive questions in order to ascertain his understanding of the problem, and understood my solutions after I had explained them to him. Next time, we will most likely review new material in preparation for future homework assignments or tests."
"Today, the student and I worked primarily on derivatives. First, we went over how to find zeros and discontinuities of a rational function. We got to practice doing division of polynomials, and identifying different types of discontinuities. We also looked at end behavior of rational functions. Then we moved into derivatives. We went over the power rule, chain rule, product rule, and quotient rule. We also worked through examples involving tangent lines to the graphs of functions."
"Today, the student began completing his first homework assignment for his Calculus course. We reviewed one and two-sided limits both graphically and algebraically. Then, we worked on derivatives. I reviewed the product and quotient rule of derivatives and introduced L'Hopital's Rule."
"Today, we prepared for his test next Thursday. Initially, he didn't know basic concepts, so I reviewed and gave real world examples for him, but towards the end of the session, he was understanding a lot more applications!"
"Today, we went over graphing of polynomials using the first and second derivatives and their roots. I had the student do a few problems where he found the derivatives of a function, the zeros of the two derivatives, and found the sign of the functions, and derivatives in the regions bounded by their zeros. He was able to graph 2 functions using this method and had to use his graphing calculator on the last function, as it was more complex than I had intended. The graph did follow his predictions, and he was able to explain all of the regions with ease. I then showed him how derivatives can be applied to particle motion and how to read a velocity-time graph. He is doing great in our sessions and is primed for a great grade on his test in about 2 weeks."
"Today, we went over lesson 3 from her pre-calculus part 1 online class. We started the assignment for lesson 3. "