Recent Tutoring Session Reviews
"Today we talked about derivatives of trigonometric functions, trig identities, and inverse trig functions. A significant amount of time was spent on problems that made heavy use of the chain rule, a recurring and fundamental subject in calculus. The student is improving quickly. In an hour of practice, I noticed his error rate dropping by more than half. Additionally, our discussion of inverse trig functions was entirely new, but he picked up on it very quickly."
"Today we went over volumes of revolution using the disk, washer, and shell methods. We also touched a little on u-substitution integration. The student needed help setting up the integral, and the graphical representation of the function. Strategies I gave her were to break down the integral into individual functions, solve for each component, and add up the results at the end. I will be leaving her with some practice problems that involve volumes, and we will go over the u-substitution method in our next session. Today's session went well, with the student having a better understanding of which method to use to solve these kinds of problems."
"Today we worked mainly on the beginning of Chapter 5, finding approximations for areas under curves based on rectangles. We also spent time working on a problem from Section 4.3. It involved pretty much anything that could be involved. We found critical points, tested points to find intervals of increase and decrease, found points of inflection, and tested those intervals as well. This was complicated by the fact that it was a trig equation, so it involved a great deal of complex pre-calculus techniques as well, all of which were good to work on."
"Today we worked on problems in related rates, properties of function from derivatives, and second derivatives. The student needs help in algebra and pre-calc. We will continue to work on this next session."
"Today, I assisted the student with a problem set assessing his understanding of how to calculate the volumes of solids of revolution using definite integrals. The exercises went well, as we conferred back and forth to discuss solutions and examine each other's lines of reasoning for each problem. The student understood the formulas well and generally solved these problems fast, demonstrating that he knows the material."
"Today, the student and I continued to discuss integration, specifically arc length and surface area. He needs to continue to focus on general strategies for integration, including u substitution and application of algebraic properties."