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Private In-Home and Online Calculus Tutoring in Taylorsville, UT

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Session Summaries by Calculus Tutors

Taylorsville, UT Calculus tutoring
The student and I practiced the area between curves today. It was simply a matter of subtracting the functions and then integrating with some thought to our bounds. We started by talking about the concept, which was understood. In practice, the challenge of these problems is in not making minor errors after the integration piece is done. It is easy to make sign errors and arithmetic errors even after doing all the Calculus perfectly. The last problem was done all by himself with no help, which shows he understands the topic well.
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Taylorsville, UT Calculus tutoring
The student and I specifically covered related rates Calculus problems. He was having a hard time understanding the method used to solve these types of problems, but by the end of the session, he was understanding the method better. We also quickly went over Riemann sums (estimating area under curves), which he understood quickly. He seemed to be more comfortable with the material before the end of the session, but we needed a little more time to fully grasp the method used to solve related rates problems. I made some notes on how to solve the problems and left them with him to study. I also let him know that these problems require a lot of practice to understand.
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Taylorsville, UT Calculus tutoring
Tonight, we covered integration by parts. The student was understanding the concept behind it relatively well, but she was struggling with some steps that needed to be taken to use this technique. We went over some problems of this type from her textbook, and she was beginning to understand those steps as the session went on. She understands those steps better now, but I would say some more practice would benefit her well.
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Taylorsville, UT Calculus tutoring
We went over what the student is learning now--approximation of area with upper and lower sums and indefinite integrals. The session went well. She seemed to already have a good understanding of the subject.
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Taylorsville, UT Calculus tutoring
We reviewed the homework assignments that involved taking more derivatives of trigonometric functions. We were deriving the derivatives for inverse trig functions and then applying them to other problems. The student's attitude was good towards the material overall. He seems to be more prepared for his upcoming test next week, and we will be meeting on Monday to build his confidence more with the material. Otherwise, great job!
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Taylorsville, UT Calculus tutoring
In order to prepare for his upcoming test, the student and I worked through lessons from chapter 16 in his book. During this session, we covered 16.1 on vector spaces and 16.2 on line integrals. He understood most all of it.
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