Recent Tutoring Session Reviews
"Today, we worked on a multitude of topics. We started with completing the square. Then, we worked on geometry and the quadratic formula. I showed the student how to use the quadratic formula and identify the key terms in the equation to solve quadratic equations."
"We covered precise definitions of limits, infinite limits, and derivative of a function by its definition. The student struggled the most with the precise definition of limits, but he understood the concept very well and moved on. I taught him how to calculate an infinite limit by inspection."
"We covered the chain rule for derivation, in conjunction with the product and quotient rules, in preparation for his upcoming test on Thursday. Aside for some refreshing on operations with fractions, he has good algebra skills, which helps a lot with the comprehension of Calculus concepts. We also reviewed his class notes on implicit differentiation that we will cover in more depth on our Sunday session."
"We covered the concept of a limit using a worksheet from a workshop that he had missed. He was engaged throughout and demonstrated an ability to solve basic limits correctly. He had also missed a workshop and some recent homework assignments, so some additional review will be helpful before his first exam. As a next step, I suggested that we cover his homework assignments in the next session."
"We covered the limit definition of derivatives and took the infinite limits and limits as they approach a constant. We reviewed how to manipulate the function after finding the indeterminate forms."
"We covered the product rule and chain rule of differentiation to compute the derivatives of functions that involve composite functions (aka function-of-a-function) of the form y=f(g(x)). We also covered local maxima and minima of a function using the first derivative to find critical numbers, and then setting up intervals along a number line to test values in each interval in the first derivative, which allows us to discern whether a critical number corresponds to a local max or min."