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Private In-Home and Online Calculus Tutoring in Doral, FL

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Session Summaries by Calculus Tutors

Doral, FL Calculus tutoring
Worked on web-work: Taking derivatives and interpreting results. When is a particle going forward, going backwards, speeding up, slowing down, etc..
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Doral, FL Calculus tutoring
The student is starting integrals, so we worked on using various approximation theories to find the area under a curve. We talked about how integrals are used in physics and other disciplines. We set a goal of getting a B+/A- on her next calculus exam. We then switched to physics and worked on free body diagrams with forces, momentum, and energy.
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Doral, FL Calculus tutoring
First we reviewed some of the concepts about derivatives that we talked about last time. The student said he had a test on that chapter recently that didn't go as well as he would have liked. So we went back and worked some problems on curve sketching, finding min/max, and finding tangent lines. Then we moved on to the current chapter on integrals. I showed him how computing integrals is basically just reversing the process for taking derivatives, and he did pretty well. He did several of the problems from his assignment easily and without my help. I think if we stay on top of this material, he'll have a much better understanding when it comes time to start applying integrals to find areas and volumes.
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Doral, FL Calculus tutoring
Today, I went through homework problems with the student. The problems covered derivatives and integrals of exponents and logarithms of bases other than e. The student has an exam on Tuesday. She got a list of review problems for the exam, which I will go over with her on Monday.
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Doral, FL Calculus tutoring
We spent most of our session on separable differential equations. The student ran into a significant roadblock in that she still does not know how constants behave with integrals. I will continue to bring this up until she gains a clear understanding.
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Doral, FL Calculus tutoring
We covered the concepts of arc length and integrating parametric functions of curves to find the arc length. The practice problems that we went over were assigned to the student for homework. He wasn't too familiar with some of the equations, so we discussed which equations to use and for what scenarios.
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