Recent Tutoring Session Reviews
"We went over continued applications of the second derivative, including tests for inflection points and concavity, as well as applications in equations of motion and finding points of financial diminishing returns. We also covered several minimum/maximum word problems involving finding the area and volume of a solid."
"We started the session by discussing the students group project, and his schedule for the rest of the semester. We briefly reviewed the Fundamental Theorems of Calculus, before beginning a broader review of the semester's materials through practice problems. Today's problems mostly concerned properties of instantaneous slopes and the estimation and manual calculation of tangent lines. He understood the topics well."
"First we went over the student's most recent exam. Overall she did quite well, demonstrating a solid understanding of the material. One type of problem, volumes when rotating regions around axis, was still a little tricky for her. So, we went over that again so that she understands it better for the final. Next, we moved on to the current sections she is learning - trig substitution and partial fraction decomposition. We went over the procedure for those and did enough practice for her to get the hang of it. She should be all set to do the rest of the problems herself."
"We covered inverse functions and derivatives. The student needed help with derivation of inverse functions. She was very positive towards the material, and does need frequent practice."
"The student has an upcoming test this Friday, so we reviewed the material for his test. We went over derivatives and their applications. He was understanding the problems very well. He feels comfortable for his test on Friday."
"We worked on an optimization problem and discussed the fundamental theorem of calculus. We discussed how the derivative and integral are essentially inverses of each other and that is why the derivative of the integral of a definite integral essentially gives you back the original function. We went over the distance, velocity, and acceleration function and explained how you could go from one function to the other using the derivative or integral. We also looked at L'Hopital's rule and did several problems using L'Hopital's rule."