Recent Tutoring Session Reviews
"This session took us through the majority of the review for Chapter 19. We did about 4 questions where the answer for the integral was solved using the dot product of the Force vector with the area-attenuated orientation vector, and then related questions that required a double integral of the Force vector dotted with the orientation x differentials. The highlight of this portion was discussion about how amusing it was that needing to know how to calculate an area had resurfaced this late in her mathematics career. We skipped some questions and ultimately finished with questions asking us for the divergence and curl of a function to determine if it is irrotational or solenoidal."
"This session was largely a culmination of past work. We have previously gone over Cartesian, cylindrical, and spherical coordinates and their use in triple integrals as separate problems. Today, we looked at triple integrals in general by determining which coordinate system to use for a problem and how to set up the integral. The student is making progress and should be in a good position for the final exam."
"This session, we covered integration, mostly definite integrals. The student and I looked at some u-substitution problems, and some problems handling derivative of integrals using the fundamental theorem of calculus. He had a good grasp on the material, and was confident with his work. We specifically focused on handling problems utilizing the fundamental theorem of calculus, and when to use u-substitution."
"This session, we went over optimization applications in business - more specifically, cost functions, average costs and marginal revenue. She had struggled with setting up the equation; however, once explained slowly, she was able to piece the problem together. We also went over definite integrals which she was confused with. Implicit differentiation was a technique that her lectures never went over but we were able to go over during the session. We will brush up on the concept the next session the two of us meet. The session went well as usual and the student was satisfied with the way I explained the topics. Later this week we will discuss the topics for next week to go over!"
"This student had several calculus optimization problems to be worked using differentiation. I gave her an overview of how the solving process worked, including a specific example. After that, we worked on getting a review of her three problems done. The first was very long and involved and I will have to send her more complete details."
"This was a one time session. The student and I worked on taking derivatives involving the product rule, quotient rule, and chain rule. We worked through two pages of problems she provided. She said that she was good with derivatives now. We then worked some derivatives of exponential functions that I provided. Lastly, we finished finding derivative chains on a puzzle worksheet that she initially couldn't figure out. She is a very good student."