Recent Tutoring Session Reviews
"In this lesson, we started off by working with inverse trigonometry functions some more. We dealt a little with their derivative, and also simplifying and manipulating them. I introduced a tricky tactic that is needed for dealing with compositions of trigonometry and trigonometry inverse functions that involved drawing a triangle. We also reviewed some L'Hopital’s rule practice. Last, we moved on to some word problems that involve trig equations and were a segue into related rates and optimization problems."
"For the first half hour, we worked through a sample free-response AP question in which the student is presented with a graphical representation of a function without an accompanying equation and is then asked a series of questions that require differentiating and integrating the function; she noticed that these types of problems (which appear in both the multiple choice and free response sections) are especially tricky for her, but today's practice helped clarify them a little bit. For the second half hour, we revisited sample multiple choice problems that she had previously gotten incorrect. Some of these she missed because of small math or algebra errors; others just required more careful reading and thought about what the question was asking for; then there were the series/ sequences questions, which require her to memorize some of the common MacLaurin series. She had taken a timed sample AP test earlier for class, and she said she feels good about timing, so I think in general, the student is in pretty good shape for the AP test!"
"We covered basic differentiation, horizontal tangency and the power rule. Our focus was to achieve an understanding of these concepts, because her teacher goes too fast in class, not allowing for time to grasp them. Then she started and finished her homework which served as practice on the same concepts. She seemed to have a solid understanding of the material and was able to apply her knowledge effectively."
"The student had another practice exam for his third test. We went over the mean value theorem, using the first derivative to find local extrema, using the second derivative test to find max or min values, evaluating sign charts of the first derivative to find max or min values, indefinite integrals and antidifferentiation."
"We discussed the definition of a limit, rules for computing limits, and continuity. The student understands the definitions and underlying principles. In practice, though, this is easier said than done. So, I referred her to several websites with a variety of practice problems and detailed solutions. Her homework is to study these."
"We covered mean value theorem, local extrema, properties of exponents and logarithms, and limits. The student had a positive attitude, and was left to complete the rest of her practice problems. She struggled the most with concepts not introduced in calculus but rather pre-calculus, but she will review those."