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Calculus Tutoring in Brownsburg, IN
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Recent Tutoring Session Reviews
We have also looked at examples of curves in parametric notation, and the best suggested strategy for drawing such curves would be to express the parameter t in terms of x or y whichever is simpler and then obtain the y as a function of x and then plot that.
We also clarified that, even in parametric notation, the notions of "growing curve," or "concave up," "concave down" really refer to x/y coordinate system. Therefore, the first and second derivatives of y with respect to x need be evaluated.
Student has performed well on tests in the past.
For homework, student is encouraged to solve more specific problems from the text to gain speed of execution."
In the second half of today's lesson, we reviewed chapter 4 on derivatives (to start a cumulative review for the final). We covered the definition of a derivative (based on secant and tangent lines), how to do a derivative, the product rule, quotient rule, and chain rule. We also went over implicit vs explicit differentiation and conversion rates.
He understands the different differentiation rules pretty well. Now that he understands negative exponents better, he is doing much better on the actual arithmetic. He did have some difficulty conceptually understanding explicit and implicit differentiation, although the metaphor of 'translation' between x and y seemed to help.
Overall, he seems to be doing better each session. I think if we continue reviewing a little each session, he should be very prepared for the final."