Brandon Dry
Session Date
Lesson Topic
Review -The First Derivative and Finding Extrema.
Lesson Outline
We worked several end-of-chapter review problems from the text, finding critical numbers as well as maxima and minima.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon is concerned about his grade in this class, but was unable to find it from the Palm Beach State on-line grade book. He is considering withdrawing from the course, depending on his grade. I've noticed that his algebra skills are a bit on the thin side and that may be a contributing factor.
Session Date
Lesson Topic
Asymptotes and Differentials
Lesson Outline
We worked on a take-home test assigned by his professor.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon was completely engaged during the entire session. I think his understanding is a bit on the sketchy side, however.
Session Date
Lesson Topic
Class Project - Applications of the Derivative.
Lesson Outline
We finished working through the first of the three problems in the project. (We worked the other two last session.)
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon's confidence seems to be increasing. My impression is that he feels pretty good about how he handled the project.
Session Date
Lesson Topic
Professor Directed Project-Using Derivatives.
Lesson Outline
We worked on a three-part project. Part 3 was an analysis of the graphs of a function compared to the graph of its first derivative; Part 2 was an analysis of the performance of a quarter horse over a 440-yd race (times vs. Yards covered) and Part 1 involved the costs of manufacturing shirts as the number of shirts made increased
Assignment
Begin Writing Up theProject for Class.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon seemed to "get" the material fairly well, but I'm not sure that, if I turned the reins of the problem totally over to him, how far the horse would run.
Session Date
Lesson Topic
Applications of the Derivative
Lesson Outline
We worked on several teacher-assigned problems in which we has to find the maximum or minimum of a continuous function.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon worked hard and well. His confidence seems to be improving.
Session Date
Lesson Topic
Business Applications
Lesson Outline
We spent the session working on problems assigned by his teacher, involving the use of the derivative in finding maxim (profits) and minima (cost)>
Assignment
As assigned by PBS professor.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon worked hard during the session and I think he gained valuable insight.
Session Date
Lesson Topic
Business and Economics Applications
Lesson Outline
We went through several example problems in which we used the first derivative to find maximum revenue and minimum cost. In most cases, the graphs of the applicable functions were given; in others the graphs were not shown and the second derivative was evaluated to check concavity and determine whether the point was a maximum or a minimum.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon played an active part in our discussion and left with a better understanding than when he arrived.
Session Date
Lesson Topic
Concavity, Inflection Points.
Lesson Outline
We worked on several problems in which we had to find where a function was concave up or concave down by using derivatives.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon paid excellent attention and participated fully in the session.
Session Date
Lesson Topic
Derivatives, Maxima and Minima.
Lesson Outline
We explored the derivative as a tool for finding extrema of a function across a closed interval. We worked several problems from the test.
Assignment
None.
Session Minutes
60
Minutes Student Attended
45
Lesson Comments
Brandon was running late this morning.He seemed to be on top of the calculus after we had gone through several problems from the text together.
Session Date
Lesson Topic
Applications of the Derivative - Critical Numbers
Lesson Outline
We reviewed finding some simple derivatives and stressed the necessity for memorizing the formulas. Then we discussed the derivative's role in finding a function's critical numbers. Finally, we worked several problems from the text.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Brandon's confidence seems to be improving and I believe the tutoring sessions are helping with that.