Recent Tutoring Session Reviews
"The student and I covered u substitution. We talked about compositions of functions and how to tell derivatives from functions. We been focused on choosing you and calculating DU and addressing difficult problems using algebra and differential calculus."
"Monday's session was shorter since the student's professor moved back his second exam to this Thursday. We focused on tackling problems that the student identified ahead of time. The main concepts we discussed were using the definition of the derivative to solve simple problems, quotient rule, chain rule, and some applied economics problems dealing with cost functions and marginal revenue-product. The student is doing quite well and was on point throughout the session. He is becoming more proficient with chain rule in particular and is making fewer mistakes and solving problems more quickly. We discussed a few test taking strategies, including analyzing problems to make sure you are following specific directions and extracting important information from story problems. The student's improvement with differentiation rules and showing more work while solving problems were both wins from the session. We are meeting again for an hour and a half this Wednesday to prep for the test on Thursday."
"The student completed her standard calculus assessment questions today. We started working on some of the limit and continuity problems, and then moved onto optimizations problems. Next week, we will review statistics and the following weeks. She will be assessed with problem sets similar to the ones she completed in calculus."
"In this lesson, we worked through one of the more challenging sections of Calculus in my opinion - volumes gotten by revolving regions around axis. We examined the formulas and tried to understand why they are correct, so that we can have some intuitive understanding and not just plugging in randomly to formulas. We also did some application word problems related to integration."
"We went over an introductory section on differential equations. The student learned how to check if a function was a solution to a differential equation as well as how to find particular solutions to differential equations. The student reported feeling comfortable with the subject matter at the completion of the session."
"During our session, we worked through some of the student's calculus. Last time we had just started working on the chapter dedicated to integration, and the student's course is now further into the chapter, dealing with more complicated applications of integration. The first couple problems we worked on covered the use of rectangles to estimate the area under a curve, as well as using geometric formulas to find the area under the curve of neatly shaped functions. After completing the first set of problems, the student told me that they had just started u substitution and integration by parts in class, two difficult concepts that the student didn't fully understand yet, so we spent the rest of the session going over the formulas for these two techniques of integration and doing examples to show the student how they work."
"Today we discussed differential equations: slope fields (interpreting them, drawing them, finding graphically a particular solution) and separable differential equations - find the general solution and a particular solution)."
"We had a very good session going over the students homework on extrema. Not only did she get down the process of how to find critical points, maxes, and mins, but we were also able to review several derivative rules. We will continue to review."
"The student has been working on derivatives in class. He is doing very well with applying the derivative rules to problems. Today we went over how to use zero crossings and inflection points on graphs to take the derivative visually. We also discussed some strategies to simplify problems before applying the quotient or chain rule."
"We went over some demand elasticity problems involving first derivatives and some optimization problems involving concentrations. The student picks up the methods for solving problems quickly. He needs to be careful with his calculations though."
"We continued our work with polar coordinates and honed her ability to find area. We also went into the basis of polar coordinates and how to draw a polar graph (as opposed to a Cartesian graph) and how to report coordinates on it. We also derived the formula for polar area and square trig identities."
"The student and I reviewed derivatives for a big test tomorrow. We focused on derivatives of arcsin, arccosine and exponentials. His basic math skills are much, much improved. As usual, his self study is going very well too. He has meticulous notes from class and reviews them often. His confidence is improved and I like how he likes to review problems I demonstrate himself to make sure he has the concepts down. After differentiation we will start integrals."