Recent Tutoring Session Reviews
"The student showed a lot of progress in this session. He worked through the majority of a fairly difficult curve sketching problem with minimal input from me. His algebra has improved considerably, and today we covered some of the background he will need in trigonometry. He took to this quickly, and will need to spend some time on his own committing some of it to memory. The student has a test tomorrow and should perform well, and definitely much better than he might have a week ago."
"Today the student and I did more exam review covering related rates, derivative rules, and inverse functions. We completed the practice that his instructor gave in order to prepare for the exam. He still needs to practice algebraic manipulations and memorize trigonometric derivatives. I didn't leave any extra practice and have no concerns for this session."
"For this session, the student and I covered integration. So we quickly went over the concept, then just did problems throughout the session. I also introduced him to the next section they are covering, which is definite integrals."
"Tonight, the student and I did problems concerning finding absolute maximum and absolute minimum and how those relate to the critical points. She is doing very well, just needs to have more practice with algebraic simplification. I also pointed out from the assigned problems we worked, how the test questions might go."
"We spent our time on curve sketching - looking at a function or graph and determining what it's derivative will look like, how it will behave, etc. We practiced a few problems. I am bringing my past notes and worksheets for her to do on her own next time."
"We covered directional derivatives, second derivative tests for critical points, and global min/max. We covered both of them with two examples (directional) and four examples (gradient), and also advanced further to prepare the student for global min and max, Lagrange Multipliers, and finding critical points in others ways. I left the student with extra practice to ask the professor what happens when the determinant of the hessian is greater than 0 and the 2nd partial derivative of f with respect to x is equal to 0."
"We went through his homework. It was about roots and their properties. I explained to him how he has to simplify them and use different properties according to the problem. We solved almost 100 questions and he understood how he has to solve them. After we solved about 10 questions he was able to solve them by himself. He still has about 90 more equations to work on. He is doing well."
"In this session, the student and I talked about her exam briefly - she did a great job on the exam and making progress in class. We then went over to discuss homework on tangent plane approximation problems. I also helped her with problem-solving and corrected some errors with respect to partial derivatives. After solving three problems, she got a good grasp of the tangent plane approximation problems. Our session was productive and in coming sessions, we plan to prepare for the final."
"We covered the material in chapter 8 today, mostly over integration techniques. We first did a quick overview of integration by parts, and looked at the tabular method of integration by parts as an alternative method. Next, we covered other techniques, including powers of sine and cosine, trigonometric substitution, and integration based off of tables. Finally, we reviewed improper integrals, and L'Hopital's rule as a method of evaluating certain limits."
"We covered fxn behavior. Using only the first derivative, we solved for extrema and asymptotes and determined where fxns are increasing and decreasing. We solved polynomials, exponentials, radicals, and logs. The student was quite confused initially but she now understands the material quite well."
"In this session we talked about an article critique that the student is rewriting for her class. She is struggling with determining how the groups are formed and variables are derived from the grouping. We then went on to discuss the SPSS printout that she needs to interpret for her current homework assignment. We covered what the 'F' statistic represents, what the significance means, and why effect size is so important."
"We reviewed for the student's midterm, which is today. We went over her previous quizzes and exams and worked to correct mistakes she had been making. Some areas to work on are piecewise functions and transformations of parent functions. Her exam score from last week brought her grade up."