Recent Tutoring Session Reviews
"Today, the student and I practiced using L'Hopital's Rule for the first time to evaluate limits. We discussed how it applied to infinite values. We also looked ahead briefly at his upcoming material on improper integrals, logistic functions, and partial fractions."
"We covered problems that the student had on her past homework. She has an upcoming test, so we will continue to review the information that she has been practicing for the last few weeks. She is very capable of doing well for this class, she just needs some more practice."
"We reviewed the fact that the derivative gave us the slope of the tangent line to a graph. We then used that information to write the equations of lines tangent to a function at a specific point. We reviewed the rules for derivatives and explored using the product and quotient rules. The student has done these before, so we treated it as review, and did some rather involved problems to check his understanding."
"Student received an A on his optimization test. Covered homework problems given last week on optimization and worked on some practice problems with max min and derivatives. Also, assigned homework on Lram, Mram, Rram, for student to practice which is what he is working on currently. Student is always positive and motivated to work. Great session."
"We completed a warm-up problem on evaluating a definite integral. For the rest of the session we covered the "total change" word problem, where a definite integral is used to calculate the total change in a variable where its rate of change is not constant. The student did a few simple examples for extra practice."
"We continued to review for the student's exam on Tuesday. First, we finished going over all the material that would he would be responsible for, which ended with product and quotient rule. He showed improvement with the quotient rule since we last met. Next, we went through the entirety of his previous homework assignments, using the teaching assistant's recommendations as a guideline for reviewing past problems. We covered exponents/logarithms, limits, continuity, asymptotes, and finally derivatives. He will continue to review for his exam next week, and has completed all of his assignments in the class by this point in time."
"In this lesson, we went over the fundamental theorem of calculus and applied it to a variety of problems. We looked at how it applies to areas under the curve, as well as word problems involving the antiderivative of some rate of change function. Then we moved on to integrating by substitution. We did a lot of practice with it, and by the end, she was really getting the hang of it."
"We covered advanced questions in the topics of trig substitutions. The student needs to use several methods at once to solve one problem (trig sub, u sub, and then integration by parts), but he is getting good at it."
"We covered derivatives and the many forms of equations that might appear on his quiz concerning derivatives. The student was very enthusiastic about achieving a solid understanding of the material."
"We spent the majority of today's session on Related Rates. We worked through some problems in the book and made sure the concepts were understood by the student. He said it was very helpful to go through and see some concepts such as dr/dt = dV/dt * dr/dV, written out and seeing how they cancel out. We were able to finish one of his writing assignments that involved related rates with him leading the thought process. We also finished going over problems involving Newton's Law of Cooling and exponential growth functions. Next session, we will start with derivatives of logarithmic functions, which is what they are going through in class."
"1) Trigonometry analysis 2) Student only had two or three specific questions. He is in the top two percent in his class and has mastered almost all of the topics. 3) He had a good attitude. He is such a fast thinker that he moves directly to what he needs. 4) The strategies I left with him were to slow down and try to look at the problems from a macro perspective. He has the micro viewpoint mastered. 5) I advised him to do a few of the book problems that have answers, and to ignore the others. He has been doing every problem in the book. 6) He showed me two of his quizzes. He has another quiz in four days. 7) I was able to teach him some algebra techniques and one concept, which he can apply to all trigonometry going forward."
"We worked on more assignments regarding definite integrals and area approximations using Riemann sums and the trapezoidal method. The student is understanding the material very well and doesn't seem to be struggling much at all."