Recent Tutoring Session Reviews
"We began by talking about related rates problems. The student explained that she likes to have step-by-step instructions for math problems and that she is not given those by her teacher. So we mapped out the steps needed to work related rates problems and then we worked some problems out together. The student seemed happy that she now understood what to do. We then talked about linearization and I wrote out some steps to use to work those problems. This seemed to clear up the confusion that she had been having. At the end of the session, she seemed to be much more confident in her ability to work the problems in these two sections. She planned on going home and working some more problems from the book so that she would be prepared for the quiz the next day."
"We continued working on implicit differentiation, covering 12 problems. We tried different kinds of differentiation, and subbed in the first derivative and original equation for y. We also explored second derivatives. We emphasized the different between variables and numbers and proper simplification of equations."
"We prepared one last time for her midterm that is on Tuesday. We went through all of the previous lessons and did example problems."
"We covered the properties of integrals, Riemann sums, summation formulas and properties. The student is very energetic and shows great interest in the subject. She indicated that she would do more practice problems from the book. She was finding it a bit difficult to apply some properties of the definite integral, the definition of Riemann sums, and some summation formulas. To address this, I suggested to her that some problems are best approached by first looking at graphs as they might suggest ideas how to go about solving the problem."
"Today we covered maximum and minimum again and continued on to review the second derivative test as well as concavity! Student understands the calculus. I assigned homework: two problems on the "7 things" and one was trig. In addition, I assigned her some unit circle work. She enjoyed the session and found it helpful."
"We went over rules of logarithms and exponents in preparation for her exam coming up. Exponents were fine. She had a great attitude, asked a lot of questions on what she wanted to cover, but was very open to viewing it a different way. She had homework to review before the exam."
"We covered the tests to determine if a function was continuous or not and went through multiple examples to determine if the student understood. We needed to review the concept of a limit and how two one-sided limits came together to make a full limit. We reviewed the concept of asymptotes as well as how piecewise defined functions were graphed. He seemed to grasp the major concepts and was able to complete the final problems with little prompting. We concluded by summarizing the test for continuity as well as when a limit exists."
"We reviewed some topics that the student had questions about from class. We broke down finding the critical points of functions using the first and second derivatives. The critical points were then used as "clues" to draw the function on a blank graph."
"We met for a review session on Thursday for the student's test on Friday. We went over all the calculus concepts on her test. These included different strategies to integrate, comparing diverging and converging integrals, and finding out the volume or area given various shapes and intersecting functions. We then spent the next few hours going over new practice problems for each type, and reviewing what to do in each case (identifying some triggers to help make it easier for her to recognize on the test). She struggled a bit with some of the U-substitution and rewriting strategies, but towards the end, she was a lot more comfortable. I also circled some problems in her textbook for her to review at home that I thought were somewhat challenging. These problems should help cement the concepts in her mind."
"In preparation for the student's test on Friday we went over problems, including trigonometric limits, and discussed strategies needed to solve those problems. In addition, we discussed differentiation, and went over how to use the trig identities, along with the values from the unit circle, to solve problems."
"The student showed me what he was studying in his calculus class. We then went over logarithmic and exponentials, and how to differentiate and integrate them. The student did well."
"Today we went over the student's notes on L'Hopital's Rule. I went over the basic concepts with him and we also discussed indeterminate form. After going through the notes, he worked through several homework problems. He seems to understand the basic rules and was able to implement them fairly well in the homework problems. The student also let me know that he got a 95% on his previous test, which is great improvement for him! I suggested he continue working through the homework problems."