Recent Tutoring Session Reviews
"We started with a review of trig identities. The student is a lot more comfortable with using substitution to prove two sides of an identity equal, but is still sometimes unsure about how to start. I told her that she needs to try to recognize the form (complex fraction, quadratic, binomials in parentheses) and then she just needs to follow the same steps as she would in a non-trig problem with the same form. After this we reviewed her homework, which was about angle addition and subtraction properties in trig. These are easier to recognize as she just needs to look for a trig identity of two angles being added or subtracted in parentheses, and then substitute into the formula for that trig function. She was able to do a few of these questions without problems. She is doing a good job remembering and using the unit circle to find and replace the sine, cosine, and tangent of fundamental angles."
"We covered how to graph complex polynomials. We spoke about end behavior, multiplicity and asymptotes (vertical, horizontal and slant). After covering this material, we went over the student's homework. Once we started doing practice problems, however, she quickly caught on."
"We reviewed how to parameterize equations. We also went over polar coordinates and how to change between polar and rectangular coordinates. We did several example problems."
"The student had a nice list of questions to work on today. We focused on complex numbers and logarithms. I was especially impressed with his ability to work with square roots of negative numbers in terms of "i." We did some practice with i squared, cubed etc. As usual our problems involved zeros of polynomials and some long division. The student seems to understand the concepts of zeros and factorization well, which is good. He seems a little nervous as the material gets tougher towards the end, but I recommended that he spend more time reading the texts. There are some great examples and explanations in his book that if he uses will help him greatly."
"The student needed help with polar coordinates and reviewing trigonometric identities today. We went over identities and laws of sine and cosine and did tons and tons of practice problems. The best thing to do was to practice it until she had it memorized."
"The student worked on homework from chapter three that covers exponential functions and logarithmic functions. We first reviewed the rules of logarithms, converting from exponential to logarithmic form. Then, the student finished a homework worksheet that put into practice the rules of logarithms. When she was finished with the worksheet, she started working ahead on the graphing logarithmic functions homework. She expressed having good understanding of the material and showed no trouble setting up and solving the homework problems."