Recent Tutoring Session Reviews
"The student and I reviewed integrating to find area, cross-sectional volume, and rotational volume tonight, as well as differentiating to find velocity and acceleration and to find extrema and inflection."
"We looked at derivative rules and continuity. We discussed strategies for approaching her next worksheet and she is going to let me know how it goes."
"Calculus: Covered Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals; Sect. 8.7: Indeterminate Forms and L'Hopital's Rule. Statistics: Covered Chapter 21: More About Tests; Chapter 22: Comparing Two Proportions"
"We reviewed the student's test review, which was based on the material from his test last week. He also mentioned that he felt his test went well as he was able to understand the more complicated integration problems going into the exam."
"Today the student and I went over the basics to implicit differentiation. This was a new topic for him, but I think he really caught on with the use of examples. We also applied the use of implicit differentiation to determine tangent lines to different types of curves. We also briefly went over indefinite integrals and limits (using L'Hopital's Rule). The student seems to really be understanding the material."
"The student and I reviewed some of the content from chapter 6. We spent one hour working on separable differential equations and initial value problems. We spent the remaining time doing two dozen problems including those with trig functions, exponentials, and inverse tangent functions."
"In this lesson, we covered derivatives with logarithms and exponentials in more depth. We reviewed the previous rules learned about them, and started incorporating them into more complicated derivatives that involve chain rule, product rule and quotient rule, so it was a nice refresher on those as well. After that, we moved on to a new technique called logarithmic differentiation. It's a great method for simplifying complex derivatives and really tests one's understanding of logarithmic rules and derivatives."
"We continued to cover problems that involve using multiple derivative rules. We began working on these problems with trigonometry rules as well. The student is just learning about the multiple chain rule or chain rule and product rule problems, but she showed much more ability than last week. Last week, she was very reluctant to solve these problems, but she started showing more confidence this week and showed improvement on her most recent test. I think more practice will lead to even more confidence and better test scores."
"I can see the student is doing much better in tutoring sessions and it is because he is working very hard. We covered chain rule and tangent lines mostly today with a little implicit differentiation. The student does well taking the derivative of difficult equations. Once he gets better at the last steps of moving parts around and dividing he will have mastered a very difficult part of Calc 1. Progress continues."
"The student has a test coming up and wanted to prepare for it. We went over rules of differentiation, and how to integrate those types of functions using two different approaches: u-substitutions, and a backwards forwards approach. I supervised her as she did some work in her textbook. She is doing well, and increased practice will help her grow more understanding of the material."
"We covered the chain rule and how it can be applied with the other rules of differentiation that we worked at on Tuesday. We will continue to apply these rules in upcoming sessions when we look at trig functions, exponential functions and logarithmic functions. We worked through some examples of more complex differentiation problems and I feel that the student is really understanding the concepts!"
"The student has a calculus quiz tomorrow, so he wanted to review the topics will be covered. We worked on practice problems for the disk and shell method for finding volumes of regions."