We will discuss the five problem assignment on area between curves. This will be followed by an overview of a new topic, volumes of revolution. Examples problems will be done also.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
Everything went as planned. We looked at the assigned problems and then we began our study of volumes of revolution. It was a very productive day.
Examples will be done to show the area between two curves can be calculated using integration. We will also find the area of a region of the coordinate plane given the boundaries.
Assignment
5 problems
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed several examples. Five problems were assigned. Joshua seemed to grasp the concept very quickly.
We will wrap up our study of differential equations. We will look ahead at the applications of integrals chapter because it is where about 24% of the AP test will come from.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We finished the problems on growth and decay and logistics functions. We looked at some basic problems related to area between two curves and volumes of revolution.
We will do more example problems involving growth and decay.We will do problems involving logistics functions which are closely related to growth and decay problems.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the growth and decay problems and we started logistics functions. These are both a result of solving certain differential equations.
We will review Euler's Method for finding an estimate of a particular value of a differential equation. We will derive the basic growth and decay function by solving a differential equation. We will apply this to problems.
Assignment
5 problems on page 382
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the session as stated in the outline. We aklso had time to review several algebra concepts related to his taking the SAT on Saturday.