Recent Tutoring Session Reviews
"We covered limitations in this session. The student has a quiz on Thursday, so the session was focused on the review for this topic. We went through some problems on how to calculate derivatives using the definition of limits, specially for rational functions. In addition, we solved limitations of trigonometric functions. The student was a little confused on how to determine the quadrant at which the angle would lie on and the value of its trigonometric function. At the end of the session he said he feels more comfortable with the topic, and I could notice his understanding when he was working some problems without any help."
"We started off the session from continuation of example problems from the day before. We encountered some problems that required many things into consideration such as Pythagorean method and substitution but the student was able to handle these topics well. He now has developed the concept of using one equation as a substitution purpose and then using that equation into the other equation to form one variable. He still sometimes struggles with confusing constants or coefficients as variables and therefore differentiates them too, but with a little practice, I think this may be fixed. No other concerns and the session was excellent."
"The student and I covered what he learned in class that week, which was integration using the substitution method. He understands the concept of the technique but struggled being able to apply it in problems, especially if the problem looks daunting. We started addressing this issue."
"We discussed functions, composite functions, and determining the equation of a line using only two points. We also discussed trig functions and their relationship with triangles, the unit circle, and wave graphs. We finished by working on chain rule. I sent the student an email with three different worksheets to work on."
"Tonight was my first session with the student, and I believe it went very well over all. He has a test coming up tomorrow and we reviewed a few different topics, such as related rates, optimization, and local max/min. He seemed extremely understanding of the core concepts of these topics, but was slightly confused with completing each steps and applying different rules (second derivative test, related area/volume formulas, etc.). At the end he seemed very confident about taking his test tomorrow, and I can't wait to hear how he did!"
"The student and I worked on related rate problems tonight. After a few examples, he really got the hang of the process. We then practiced solving rational inequalities."
"Today the student and I reviewed derivatives, second derivatives, the min max extrema points using the sign chart. She did really well at understanding this concept. We also worked on her homework that was due this week. Recognizing undefined functions and min max points was the main take away from this session. I think she is making great progress with the topics we have covered."
"Today we worked through problems from Sections 4.1 and 4.2 involving related rates and local and absolute maxima/minima. The student seems to be making strong progress."
"The student and I met Monday to work on his homework for Section 8.2, which focused on future value problems. We talked about how to solve different story problems involving these equations, including comparing two potential investments. We also worked on compounding interest rates in conjunction with changes in rate of cash flow. These are complex problems that take some time to solve but we slowly and surely got through them well! Great work!"
"We covered composite functions, product rule, and quotient rule, primarily by doing a series of homework with a business focus. Many of the questions involved reversing the composition, which the student picked up very easily. Overall, he had no major conceptual problems, and only faltered on some algebra. Working out the problems in full really helped him to clarify the questions and answers. I left him with more homework assignments, which we will go over on Friday."
"In this session we reviewed for the student's test tomorrow. The topics we covered were inverse functions, local linearization, hyperbolic functions, local and global maximums and minimums, and optimization word problems. This included going over the difference between global and local extrema and finding global extrema on open intervals."
"Today we did a set of problems using the first derivative to find critical points ... for some ugly equations. I did the first problem in 3 different methods to show the consistency of the process. Substitution was our friend. The student really seemed to grasp what was happening when he reviewed each completed problem. Later I gave a proof for how you arrive at the Quotient Rule if you start with the Product Rule, and then we peaked at what will be expected on next Friday's test. I encouraged the student to contact me if he gets hung up on a problem. Another good session which inspires me to hope that he can salvage this semester."