Recent Tutoring Session Reviews
"The student and I worked on calculating definite integrals by the limit definition and by geometric formulas. She has become very skilled at evaluating the infinite limits of Riemann sums. We also practiced some properties of definite integrals which will help her in the near future."
"Today we talked about using all the rules for taking the derivative including trigonometry and e^x and ln(x). We reviewed the product rule, the chain rule, and the quotient rule. We talked about evaluating limits with trigonometry and L'Hopital's rule. We did some complicated examples that utilized some of all these rules in order to see the subtlety and nuances involved."
"He wanted to work on what is currently going on in his class. He is working on differentiation of logarithmic functions. We took the time to review a lot of calculus concepts and using algebra techniques to simplify answers. We worked on basic differentiation, implicit differentiation, second derivatives, and finding the slopes of tangent lines. He seemed very comfortable with the material at the end of the session and should continue to work on using the formulas properly and memorizing them."
"The student is starting to learn integration, and wanted my help nailing down some of the concepts. In the first section we looked at, she was using rectangles to estimate the area under the curve. After a brief explanation of the concept, she found this to be very easy and completed the homework for the section with no trouble. After that, we looked at a section dealing with integration by substitution. We discussed how to determine what should be used as u in the substitution, and did a few practice problems."
"We covered implicit differentiation and related rates. We also looked at some basic physics (kinematics and mechanics of fluid flow) and volumes of cones. We reviewed trigonometry and the trigonometric differentiation rules."
"I started working on pre-algebra concepts with the student because he said he wanted to get ahead. We worked through substitution problems and two-step, solving-for-the-variable problems."
"This session mainly focused on his math course and was our best session together so far. The following math topics were completed: discussion of concepts in chapter 1.1, working through all example problems in the chapter's reading, and the assigned homework problems (#1-11, 20-44 evens, and 46-50). The remainder of the session was dedicated to the following science assignments: learn and discuss the remaining anatomical terms, complete the anatomical term pretest, and begin the coloring assignments. I'm taking a different approach with the coloring assignments than the textbook requires, a strategy I believe will place him ahead of other students & better prepare him for the later (and more difficult) material. Instead of coloring randomly, I ask him to color a certain anatomical region, for instance "Color the brachial region (upper arm) purple." This way allows him to have fun while still introducing him to new terms and preparing him for what lies ahead."
"Today we started out with a worksheet for subtraction with decimal points. After that we covered rounding to the tenth and hundredth place along with place values. We finished up with comparing decimals. The student is doing so well and has a lot of confidence with rounding."
"The student and I worked in Sections 6.2 and 6.3. We went through a trig substitution integral in detail, a couple of partial fractions integrals, and some other integrals. She needs a little more practice using trig identities in integrals before her first exam."
"I went through pre-trigonometry homework with him involving the definition of a function and how to recognize the difference, evaluating functions in a few different ways and at various input/output values, as well as evaluating functions at abstract inputs, such as "x + a." We are waiting to get the test results back to review his incorrect answers, but it is believed that he understands concepts and problem solving methods."
"He and I reviewed for his test tomorrow. We covered the definitions of domain, range, and functions. We also worked some problems that involved solving linear equations and inequalities. We discussed the use of the vertical line test in order to determine if graphs can constitute a function. We also practiced how to find the equation of a line given either two points or a combination of slope and points."
"Today, she familiarized me with her class structure and what she was struggling with. We talked about point-wise functions, finding the domain of functions, domain notation, and graphing notation. We briefly covered even and odd functions and finding max and mins on her calculator. She has her homework to work on. I also suggested reading her text book chapter since it does cover the homework material. Overall, a great session!"