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Private In-Home and Online Calculus Tutoring in Lisle, IL

Receive personally tailored Calculus lessons from exceptional tutors in a one-on-one setting. We help you connect with in-home and online tutoring that offers flexible scheduling and your choice of locations.

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Session Summaries by Calculus Tutors

Lisle, IL Calculus tutoring
The student and I worked on finding area of polar curves today. Once she got the hang of it, she had little issue with the anti-differentiation; however, determining some of the bounds of integration proved difficult. We also practiced finding slopes of polar curves; this went more smoothly.
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Lisle, IL Calculus tutoring
Covered several examples of the relationship between surface area and volume using integrals. Derived the volume of a cone, square based pyramid, and sphere using volume of rotation technique. Left the student with a small puzzle.
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Lisle, IL Calculus tutoring
We spent a good amount of time at the beginning of this session talking about the properties of exponents and radicals. I gave her some basic formulas and we went through some examples of what expressions with exponents and radicals can be manipulated to look like. We then looked at her next section of homework which dealt with using derivatives to determine when functions are increasing and decreasing. I explained to her what derivatives are and what they tell us, then we worked through one problem together. I wrote a formula for the general rules about taking derivatives, and then we went through the process of solving a similar problem.
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Lisle, IL Calculus tutoring
During this session we continued going over derivatives. We focused on the chain rule and derivatives of trig function. The student has trouble remembering the steps for chain rule but with more practice he can master it. Overall this session went well.
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Lisle, IL Calculus tutoring
The student and I spent the session catching him up on a few new concepts that he didn't quite have a foothold in. These concepts were inverse trig functions and hyperbolic trig functions. Mostly we just worked through understanding the basic theory behind them, in future sessions I'm sure we will be dealing with more of the calc application but for now we have a good start. This was overall a very productive session without issue.
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Lisle, IL Calculus tutoring
Today's session was spend helping the student review and complete out of class assignments. Work focused on finding derivatives and related topics, with special attention to average rate of change, compound functions, and the quotient rule. We also discussed some powerful tools (Wolfram-Alpha, and advanced TI-83+ functions) for calculating and evaluating complex mathematical expressions. I encouraged him to be aware of these tools, but not rely on them to the detriment of his capacity to work problems out by hand.
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