Recent Tutoring Session Reviews
"Tonight we went over more homework problems dealing with the convergence and divergence of infinite series. The student seemed to have a very good understanding of the comparison tests being used, including the divergence, integral and limit comparison tests. He has a test next Friday so I expect we will be reviewing a lot of this material for the test and for his final."
"Today the student had a quiz in math class. He said he was able to understand most of the questions. I spent most of the time going over the topics that were on his quiz. They involved variables and solving equations with variables. He was able to understand it when I taught him and he was enthusiastic to learn. His teacher left him with homework, so I felt that there was no need for me to also assign homework. Overall, the lesson went quite well."
"The student has an exam next Wednesday and a quiz due tomorrow. The quiz covers trig substitution integrals. After recapping the two types of trig integrand problems that we discussed last week, we discussed the three types of trig substitution problems. We worked on examples of each type of problem."
"The student worked through a homework assignment focused on orbital theory. This assignment was more in depth going over Pauli's exclusion principle and Hund's rule, as well as the few exceptions that arise in the copper and chromium lines as well as the lanthanide and actinide series. We went over a few rules on atomic radii as well as ionic radii and the difference between the two."
"During this session the student and I covered a lot of material for his test the following day. Specifically, we covered a good majority of the trigonometric identities and how to apply them in certain situations. Most of his questions surrounded how to do the angle addition identities and the half angle identities. He flew through most of the material with little to no issues, and only really encountered problems when using the inverse identities. We quickly went through those and he picked up on how to apply them almost instantly. I did not notice any fundamental issues with how he works through a problem or performs his algebra. However, I did suggest some work on fraction division and multiplication."
"Today we reviewed taking the derivatives of trigonometric function such as quotient rule, product rule and chain rule. The student was getting confused on when to rewrite the original term whilst taking the derivative, but after a few problems he seemed to fully understand when and when not to rewrite that term. Lastly, he was struggling some with quotient rule, but after more examples and explanations, he was able to complete the last couple without any problems. I would like to see his quiz grade once he gets it back to see what we need to work on before a unit test that may cover even harder examples from this chapter. I am confident that he knows what is necessary for tomorrow's quiz."