Recent Tutoring Session Reviews
"We covered a range of subjects in this lesson, including critical values of function, linearization, tangent lines, position/velocity/acceleration. Also, L'Hopital's rule and integration methods using substitution and partial fraction decomposition."
"The student and I covered the basic rules of derivatives. The derivative of constant, linear function, derivative of a product, derivative of a sum. Solved several first, and n-th derivative problems. We also did illustrations with examples from physics, business."
"In this lesson, we went over improper integrals. We saw the rules of whether or not 1/x^p will converge or diverge depending on p and the bounds. Rather than memorizing this, we went over how to reason it through in your head logically. We generalized 1/x^p a little as well by thinking of it as a shift and where the denominator is either 0 or infinity. We also went over the comparison test for determining the convergence/divergence of a function by relating it to the convergence/divergence of a known function. Lastly, we went over double infinity improper integrals. We saw how you must break into two separate integrals that must each converge independently for the whole integral to converge."
"The student is working on regression models with various types of functions. First, plot the data points; then, according to the behavior of the data, try to use specific types of function models to fit the data; last, choose the best fit model according to the sum of squares of differences. This is a long process and take a lot effort to get familiar with. We will continue to work on it."
"The student had a test on Monday, so we went through the review problems that were assigned. She had a good handle on the material. It was helpful for me to see what textbook and material the teacher was working through. It seems like a lot of their lessons will be from worksheets and other books. I left her with several practice problems that will help with preparation for the test."
"We covered derivatives today, with an emphasis on the product and quotient rules. This involved going over homework problems, most of which the student had no trouble solving. Where we ran into trouble were problems where the student had to generalize derivative formulas. We carefully went through some of these problems, but she will continue to do more of these type of problems as practice. We also went over the relationship displacement, velocity, and acceleration in terms of derivatives."