Recent Tutoring Session Reviews
"First, we went over the extra problems I had assigned him on Wednesday. He had a few questions, but I helped clarify them. We then went over integration techniques for various trigonometric functions and we started going over definite integrals, regions enclosed by two functions, absolute min/ max, total vs net distance (in regard to integration), etc. I gave him a list of review problems to work on before our next session to assess his progress as well new extra orate problems on definite integrals. He was receptive to learning and engaged during the session."
"Today's lesson was all about optimization. The good news about optimization is that it doesn't involve any new calculus--we're just finding maxima/ minima of real world functions. However, setting up the equations to be optimized can be very tricky. It often requires a lot of insight and draws upon knowledge of geometry, economics, physics, etc. Optimization is a very powerful real world application of mathematics and is one of the reasons we study calculus in the first place. For homework, see the worksheet I emailed. Focus mostly on the calculus--taking derivatives, solving equations, and classifying the max/ min points. Get as much practice as you can and we'll evaluate where we are going into our last session."
"The student and I reviewed material from algebra and some geometry concepts in preparation for her calculus course. We reviewed factoring rational functions, long division and synthetic division, rules of logarithms and exponents including the power of a power rule, sum and difference of logarithms, adding exponential functions with like bases, completing the square, the unit circle and trigonometric functions, writing equations of circles, finding the center and the radius of a circle from the standard form of a circle equation, and solving and graphing on a number line inequalities."
"The student and I continued working on first and second derivatives. We did several conceptual problems with hypothetical fxns. We then did concrete problems with polynomial and trig fxns. He has greatly improved at finding all trig roots."
"This student shows focus and desire to become successful as far as learning calculus skills. We started a review on laws of exponents and logarithms which are important topics before introduction to calculus. After some problems discussed with him, we went to the very first topic which is limits. I gave explanations as to what limits are all about. We started with finding the limit of a function given its graph. We ended our session with a summary of what we did. He is a nice kid and willing to learn a lot. He told me that he's more confident and seeing a much clearer picture of what calculus is all about."
"We spent this session recapping the material we covered on the integral last week. We reviewed the various rules for finding the antiderivative as well as some review from the work we did on derivatives. I had the student do several sets of practice problems to get him up to speed so we can start on the U substitution tomorrow."