Recent Tutoring Session Reviews
"We went over homework problems on trigonometric substitution (specifically, how to set up the right triangle when making the substitution), partial fractions, indeterminate forms, and improper integrals. For the next session, I assigned homework on sequences, series convergence, and the integral test for convergence."
"We covered parabolas, completing the square, quadratic functions, vertex, general, and factored forms, factoring polynomials, free fall equation, projectile motion, vertices, focus point, and the quadratic formula. The student struggled quite a bit with completing the square and solving the projectile motion problems, but she quickly understood after I showed her how. She had the rest of her homework to finish."
"The student and I met for an extra session, because his mom wants us to cover material for the assessment test he will be having in four weeks. We need to make sure that there are no gaps in his knowledge. He and I went over geometry concepts like area/volume/surface area of shapes and complementary and supplementary angles."
"The student and I met for a session of algebra 2 tutoring. We focused on preparing for his upcoming unit test. We reviewed factoring, using the quadratic formula, and doing quadratic regression. I feel like he has a strong grasp on the subject."
"During this session the student and I discussed both calculus and physics. For physics, we took a look at his lab write-up. For calculus, we reviewed a packet on the topics of derivatives and integrals. He mentioned that he spoke to his teacher about one of the questions we discussed during our previous session. This was great because it demonstrates that he is dedicated to this calculus course and devotes time to this work outside of our sessions."
"The student and I began by looking at regions rotated around lines that were not the x or y axis. We also looked at those which had a gap between the region and the axis of rotation. We then moved on to discuss cross sections and did a few application problems. She is doing quite well - getting the first step of each is crucial and after that she is fairly consistent. The biggest thing to keep in mind in the future would be the difference between what to do when having a gap between the axis of rotation and the region, and what to do when rotating around a line other than the y or x axis."
"Today, the student and I practiced multiplying and dividing rational expressions. Her biggest issue was rushing, which led her to several minor errors. However, we also spent a little time reviewing factoring. We also looked ahead at adding and subtracting rational expressions, specifically determining common denominators."
"We continued working through sample problems for his AP test. This was mostly non-calculator problems, but we did a handful of calculator problems as well. Limits, Series, Derivatives, Integrals, etc., were all involved in the problems."
"We first did a quick review on the power series that we reviewed in great detail last Friday, then moved on the Taylor series and its applications. The student had a good understanding. I broke them into pieces and questioned him, in order to draw his attention to them and have a more solid foundation on them."
"The student and I started our review today by covering functions. She was able to work through most problems without much trouble. The material is simple enough, but we're reviewing for the test! We went over one-to-one functions, inverse functions, and even/odd functions."
"Today we covered confidence intervals and how to find minimum sample size for a specified margin of error. The student seemed really on top of the concepts for her homework and demonstrated a high level of understanding. At first she was confused when finding minimum sample sizes but after we worked through a few problems she really caught on to the problems. We also talked about some of the finer details of confidence intervals, which may appear on her test."
"We spent today working on calculating quantities related to curves in 3D space, specifically the tangent vector and acceleration vectors. We reviewed angles between vectors as well. The student has a good grasp on this subject. We also introduced multi-variable functions and partial derivatives."