Recent Tutoring Session Reviews
"Today, the student and I worked through his homework from class beginning with proportions. He is really doing well with the order of operations. We also looked at some chemistry homework."
"The student and I worked on imaginary numbers, scientific notation, completing the square, and determining vertices from quadratic equations today. Good work today!"
"The student's class is learning matrices at the moment, but I don't think matrices will be a problem for her since they are so straightforward and she also thinks that matrices are easy. Today we focused on improving her basic algebra skills by going over an assessment that she had the first day of class which was a quiz to test things that the students should already have learned. We finished half of the quiz and covered things such as fraction division, finding the hypotenuse of a triangle, simplifying square root terms, and factoring polynomials. I also briefly covered how to use a calculator to help with solving matrix problems so that she can double check her answers calculated by hand. I find that she actually knows how to do most things. I think that if she starts writing out her entire process instead of using mental math her scores will greatly improve."
"We covered specific differentiation problems the student had, as well as logarithmic and exponential differentiation, chain rule, and product rule. The student had a positive attitude towards the material, and was left to complete more of her review problems. As the session went on she developed a clear understanding of the topics I tutored in."
"We explored the concept of a derivative as the instantaneous rate of change of a function and the central concept to differential calculus. We discussed its relation to slope, secant, and tangent. Using the mathematical tool of limits, we derived a formula that gives the derivative function. From this function, you can plug in x-values to find the derivative at a point on the original curve. For homework, review notes and work on problems in your textbook or the one I emailed you. If certain concepts are giving you trouble, try watching videos for inspiration. Again, hopefully you'll be fairly comfortable on the concept of derivatives by next session and we'll work more problems together. I know we covered a lot of new ground today and some of it was a struggle to take in. Don't get discouraged. Things will become more clear as we get more practice on problems."
"Calculus day 2, we reviewed existence of derivatives by the continuous and smooth definition and how to define constants so that a given piecewise function would be differentiable. We then went over the quotient and chain rules and their proofs. The student had no problem whatsoever with the quotient rule, but as everyone does, she had trouble with the chain rule. Once we went over some examples she seemed to catch on, but since the chain rule is arguably the most important process in differential calculus, we will get more than enough practice on it. Next week we will start defining more derivatives (all we have done so far is powers of x and e^x) and so we can start doing examples pulled from like rather than just pure mathematical equations that I make up on the spot."