Recent Tutoring Session Reviews
"The student and I were able to cover almost all of an assignment combining separable differential equations, exponential growth models, and compound interest. She seemed to understand the processes quickly, only making a few arithmetic errors along the way."
"We covered figuring out the steps in some problems involving limits, asymptotes and continuity. He needed some review on factoring functions. We computed vertical and horizontal asymptotes of rational functions. Once he knew what he was looking for it, he did great. For the continuity section, I emphasized the 3 necessary conditions and how to apply them to a graph."
"The student had a worksheet on the chain rule that also incorporated some review on previous rules for derivatives. She was unsure about some of the more involved problems but was able to get through them with a little help. There was still time left so we went over the last section of the chapter which introduced derivatives of exponentials and logs. I then had her do a few problems from that section so she can get a head start when school starts back up."
"We went over homework problems involving the derivative product rule and quotient rule. He was able to do the problems just fine after I explained how to apply the rules to some more complicated situations."
"In this lesson, we covered exponents and logarithms in many forms. First, we algebraically manipulated exponential expressions using the properties. We reviewed negative exponents and fractions in the exponent as well. Then we moved on to logarithm and went over what exactly a logarithm means and how it relates as the inverse of an exponential. We solved equations for x where x was in an exponent, so we had to take a logarithm to isolate x. We progressed to their respective derivatives, relating the general form a^x to e^x and log(x) to ln(x). We practiced taking derivatives using these new formulas, and in the process reviewed chain rule."
"We covered her last quiz and reviewed simple and more complex integrals without using u sub. We then continued working on diff eq, specifically, IVP and half lives."
"We looked through topics her professor gave her that will be on her upcoming exam. One of the topics she felt uncomfortable with was graphing the derivative of a function given the graph of the function. We worked though all of the problems her book had for these. We also worked through several problems that used a table of values to evaluate a derivative at a point."
"Again the student is doing well. I can tell he studies well and understands some very tough concepts which is impressive. I like how well organized he is and his attention to detail."
"Spent the first part of the session going through early material from the class to answer lingering questions. Then focused on getting ready for his test; practice using the product and quotient rules, applications of the derivative and what the derivative really is and what it tells you. We made good progress with this session."
"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."
"In this session we reviewed some basic algebraic manipulations that help make functions more manageable. We then worked on finding limits and visualizing asymptotes and finished up with basic derivatives and motion in 1D. This session went well. The student is showing good progress in mastering material we covered in our previous session. I left her with some practice problems on differentiation."
"The student and I went over Trig Substitution Integration extensively today. I showed her how to identify what substitution to make and how to undo the substitutions by making a triangle. The student knows her trig identities very well and will be able to handle trig substitution problems with some more practice."