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Private In-Home and Online Calculus Tutoring in Lake Forest, CA

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Session Summaries by Calculus Tutors

Lake Forest, CA Calculus tutoring
For this session, we spent a majority of the time going over conceptual lessons from the student's class, followed by just a few example problems with the remaining time. The concepts we covered included the second derivative test, graph sketching, mean value theorem, and limits to infinity. The MVT and limits to infinity were much easier for the student to understand, and took much less time to go over. Completing graph sketching through the first and second derivative test took some time for the student to understand conceptually, so we went through some graphs as visuals, and we went through some step by step examples. The student is expected to do some practice homework problems on these concepts so that we can review them next session to start.
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Lake Forest, CA Calculus tutoring
During this tutoring session, we covered implicit differentiation, concepts of maxima, minima, concavity, some motion equations, and curve sketching based on derivative values. She showed a very positive attitude towards the material covered. I demonstrated some techniques that can be used during curve sketching, and function analysis using derivatives.
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Lake Forest, CA Calculus tutoring
Today's session was on derivatives and methods of calculating the derivative of a function. We spent some time on the power rule and did some practice on that. We also did some work on the product rule. The student was very capable of taking derivatives of the functions I gave her as practice and caught on quickly. Next week's session will be on calculating the derivatives of trigonometric functions. I left her a quotient rule problem to solve over the week until we meet again.
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Lake Forest, CA Calculus tutoring
In today's session, the student completed two homework assignments and worked on additional practice problems in preparation for her exam Monday. Topics covered today focused mainly on local linearization and approximation problems as well as some limits, both of which will be on the exam. She is doing a really great job with this material and seems to understand everything very well. I am hoping that evidence of this will be shown on the exam.
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Lake Forest, CA Calculus tutoring
The student recently had a test in his calculus class on the topic of derivatives. His test was returned to him by his professor, so we went over what he did wrong on the test. Once we had finished going over it, he understood what he did wrong and was more comfortable with the material. We also went over the applications of derivatives. He understands some of the applications, he just needs to gain a little more experience with these types of problems to see more of the ways that derivatives can be applied to common problems. We will continue to go over them.
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Lake Forest, CA Calculus tutoring
We did many problems today, specifically problems that need the first derivatives to determine intervals of increasing or decreasing value, also to find critical numbers that are potential relative maximums or relative minimums. We also covered problems that need second derivatives to determine intervals of concave upward or concave downward, as well as find inflection points where concavity switches.
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