Recent Tutoring Session Reviews
"Discussed optimization problems Worked on converting word problems to calc equations Reworked a few older homework issues"
"The student's class is still studying extrema, but now has expanded their analysis from first derivation and critical points to second derivation and points of inflection. We resolved to come up with a step-by-step process to analyze a function: 1) find the x and y intercepts 2) determine the vertical and horizontal asymptotes 3) take f"(x)=0 and solve for x to find critical points 4) test f"(x-c) and f"(x+c) for each critical point found to determine if critical points are min or max 5) take f""(x)=0 and solve for x to find points of inflection 6) test f""(x-c) and f""(x+c) for each point of inflection to determine the function's concavity 7) plug in critical points and points of inflection into original function to determine y values, then sketch the graph including the x and y intercepts 8) state the intervals for which the functions are increasing and decreasing We worked through a handful of problems using this approach and then moved on to optimization word problems. We worked through a classic problem, finding the maximum area of a rectangle that had to be transcribed within the top half of a circle of radius 5. We also worked through a problem with a folded piece of paper to maximize the amount of liquid it could hold by cutting little squares out of each corner. Next time, we will review the student's previous test, which was difficult for him and the rest of his class."
"-reviewed maximum minimum problems as well as problems on optimization -discussed resources to prepare for test"
"We covered maxima and minima of a given function, trigonometric functions, polynomial functions, finding critical points and inflection points of a given function, and determining absolute extrema of a function in a given interval."
"The majority of our time today was spent working on horizontal motion. The student successfully understood the concepts of velocity and acceleration, but largely struggled when it came to displacement and total distance traveled. After going through some practice problems, she could do the calculations."
"The student and I went over concavity in some detail. I'm not a huge fan of the way her online homework handles this, putting questions out of order and asking questions without rigorously defining terms yet. Due to this, she's a bit confused about some of the material. I tried to clear it up, but it will take more practice until she feels confident. She will also need to retake the last mastery test and not rush through it to succeed. I'm positive she'll be able to handle it if she takes her time!"