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Private In-Home and Online Calculus Tutoring in Hampton, VA

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Session Summaries by Calculus Tutors

Hampton, VA Calculus tutoring
Today we looked at some examples of separable differential equations and applications of them to real life.
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Hampton, VA Calculus tutoring
We reviewed her online, 25-question exam involving definite integral applications in terms of position, velocity, and acceleration. She did very well and made an A on the exam.
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Hampton, VA Calculus tutoring
The student and I went through her homework on rotating solids. She understands this well and can do the integration. She just needs to do the work by hand for a few more steps before using her calculator, and she needs to keep track of her signs. The student and I went through a few problems on her review packet, focusing on partial fractions and optimization problems. She's doing very well with the optimization even though it takes a while. After practicing a bit with the partial fractions, she has a good grasp of that too.
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Hampton, VA Calculus tutoring
We worked through definite integral problems. The emphasis this session was more on practicing organizing solutions in a logical, flowing manner. This will be important for when he is in college, and he will need to present his solutions for more complex problems in a manner that can earn him partial credit.
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Hampton, VA Calculus tutoring
We talked about concavity and other uses of the 2nd derivative. I tried to emphasize how important it is to think of the first derivative as the slope of the tangent line. Her homework is on leading to curve sketching so we found equations for asymptotes.
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Hampton, VA Calculus tutoring
Today we spent our time working on integration by parts and started working on the integration of more complex trig functions. Integration by parts actually went pretty smoothly, with most of our hang ups coming from keeping the algebra straight. Trig is still a troublesome subject but he has definitely made some progress, and will make more with further practice.
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