Recent Tutoring Session Reviews
"We met today again to continue with calculus problems. I suggested to continue working with the problems and we did that. We reinforced the concepts we had been working on yesterday around critical extremes and maximums and minimums. Today the student worked very well and she did all the problems correctly."
"Today was our last session, and we focused on completing the review provided by her teacher in preparation for the final. We looked at mostly curve sketching and reviewing the material from the last session. The student has improved greatly, and has committed most of the integrals and derivatives to memory. I believe she will do perfectly fine on her final."
"We went over finding the slope of the line tangent to a given curve equation. He recently received a 9/10 on his last quiz. He was struggling with taken questions I step at a time. We reviewed his homework together so he doesn't have any extra practice until he gets his new homework assignment tomorrow. No concerns."
"Today the student and I went over maxima and minima problems and how these can be done using the first and second derivatives. We also covered how to use the first and second derivatives to graph a polynomial function. I assigned her some practice problems that review what we went over today."
"Discussed the remainder of Chapter 1, namely trigonometric functions, polynomials, rational functions, limits and continuity. The student still needs substantial practice in applying these ideas and has been working on worksheets provided by his instructor."
"As a first step we covered basic definitions and topics of the main calculus subjects: differential calculus and integral calculus. We then proceeded through the definition of function as a mapping from set A to set B as well as the definition of function that maps from a real axis to a real axis. We defined the domain of a function and the range of a function both from a genera set-theoretical point as well as on the example of real axis mapping into a real axis. We introduced the concept of an inverse function and worked with the example of square root being an inverse function of a power of two (square). We drew a number of functions involving square root. We have shown how to draw functions with the specific emphasis on finding asymptotes, both when x-> infinity as well as when x goes to a specific value. We have shown how to look for asymptotes and how to be careful to simplify the rational function before trying to determine asymptotes. The student wants to stay ahead of the game and is proactive in taking steps to stay ahead of the game in calculus. The student is advised to go over the notes from the session. The exercises we did include the calculation which will be useful when calculating the derivatives of functions. The strategies we worked on included graphing the function one x-value at the time and graphing any asymptotes. We also reviewed the rule for finding rational roots of a quadratic form."