Award-Winning Private Calculus Tutoring in Carol Stream, IL

Today the student worked on her math homework. Concepts discussed were on graphically plotting functions. I slowly reviewed with her on how to determine the y-intercept and how to determine the slope and plot extra points to create a line graph. I explained to her a couple ways of determining the slope (rise/run) and plotting different values of "x" to determine "y".

We worked on finding averages of a function within a volume today. The main focus in this topic is remembering to do all the steps, and the ability to follow through the copious quantities of algebra correctly. He understood the concept of how to do the problems well. I showed him the value of sketching the surface to be integrated, and that should help him set up problems like this in the future. Hopefully repetition will do for him what the goal of repetition is, to help him work the minutia more accurately.

Topics Covered today included exam prep, related rates, power series, and analyzing functions. We completed most of his review during our session.

We covered hypothesis testing and linear regression. I noticed that she was picking up the concepts a lot better. We even worked with p-values and when to reject the null hypothesis. She had some homework problems left over that she could use to review.

My session with the students went very well yesterday. I tutored both girls at the same time for their exam. We started reviewing for the exam by going over a few velocity/acceleration free response questions. We went over each part carefully to insure the girls knew what each question was asking for. We also talked about strategies for the exam and what questions were likely to be on the exam. I have no concerns and believe they will do great. They didn't seem to be struggling with anything in particular.

The student and I covered L'Hopital's rule during our session today. First, we went through examples in the textbook. He asked many questions and we had a very productive practice in solving these types of problems. He worked on the homework at the end of the section which covered this material. By the end of the session, he felt confident in his ability to solve these types of problems.