Recent Tutoring Session Reviews
"We covered algebra topics, which included imaginary numbers, finding zeros, finding x through the quadratic formula, and factoring a polynomial. I also informed the student on how to plug the solutions back into the original equation to make sure the solutions are valid. We worked on finding the domain and range of varying functions on a graph as well as on a calculator. We went over her old tests and worked through problems that points were taken off of. Other topics that we covered included multiplication of two polynomials through vertical arrangement, solving absolute values, finding the minimum and maximum on a graph as well as in the calculator, identifying even/odd functions, and identifying the increasing/decreasing/constant intervals on a graph. After working through her tests, I gave her examples of each, and she was more confident in the topics covered during the session. I recommended that she should keep practicing algebra exercises in her textbook. The only topic we did not cover was trigonometry."
"During this session, the student and I worked through his homework assignments for his class. His assignments were focused on the second derivatives of functions, inflection points, the mean value theorem, finding minima and maxima of functions, and finding continuity of functions. I instructed him to contact me if he has any questions prior to his test tomorrow."
"We continued to review for the final this week. We covered functions, graphing, solving radical equations, and solving for logs."
"We did a final review before the student's exam later tonight. The focus was on the latter part of the material that would show up, including product rule, quotient rule, and various applications of differential calculus. He found that some of the harder topics were certain application type problems, though overall he has a good grasp of the bread and butter questions of this section. After reviewing the previous homework assignments together, he will continue to prepare a bit before he takes his exam."
"This session we discussed revolved solids using the disk, washer and shell methods. We discussed how to determine the cross-sectional area equations based on the given equations and what bounds to integrate over. At first the student had a little difficulty determining how to calculate the cross sectional areas and whether to use the y equations or x depending on the method and axis of rotation, but by the end of the session I feel he had a good understanding of how to approach the problems."
"I think the highlight today was finishing a related rates problem we started last time. The student blazed through differentials today with no problem. Linear approximation was also an easy concept once I explained the formula. He has been working hard on his homework problems and has kept up with his class very well. His basic math skills are very strong and derivatives come easily now. We'll keep working on how to apply them in the future."