Recent Tutoring Session Reviews
"The student and I met for our final session to review for the multiple choice section of her exam. We reviewed how to determine continuity, differentiability, concavity, inflection points, local and extreme max/mins, relationships of the function, derivative, and double derivative, and differentiation of trig functions. The student's efforts during our sessions this year have really shown, and she seemed noticeably more comfortable with the subject as the year went on."
"We continued our coverage of derivatives maintaining the concept. We covered the quotient rule and the product rule."
"Focused primarily on the third chapter of his book, dealing with topics such as chain rule, product rule, and quotient rule for taking derivatives of functions. We discussed applications to different problems, as well as talking about how to know when to use which rule (and what order to apply them when multiple were relevant). Talked about trigonometric problems. We discussed the sinusoidal function as just that - functions - rather than thinking of them like numbers and variables."
"We went over how to maximize different equations. I showed the student that everything breaks down to setting up the equation with what you are trying to maximize and the constraint that you are given. He did very well, and it seems like he had mastered the concept by the end of the session."
"Today we solved problems with first and second derivatives. The problems included: finding critical points, points of inflections, and using first derivative and second derivative criteria to determine maxima and minima of the functions. The student is confident and well versed with the subject matter."
"We focused on limits in preparation for the student's upcoming chapter test. We practiced finding vertical and horizontal asymptotes for various functions, using the Squeeze theorem to determine the limit of a function, and determining the end behavior of a function by taking the limit as x goes to positive and negative infinity. He is doing better finding the asymptotes for rational functions by simplifying the function and setting the denominator to zero to find the vertical asymptotes and dividing each term by the largest denominator power of x to find the horizontal asymptotes. We then looked at finding the two outside functions to use the Squeeze theorem to evaluate the limit of an indeterminate function as well as prove graphically that we can use the Squeeze theorem when both outside functions are already given."