We will complete several examples of solving a differential equation. We will look at a slope field and determine a possible family of curves that it represents. We will draw slope fields for given differential equations.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We solved multiple example problems for the topics in the lesson outline. Josh feels better about these topics after we worked through these examples.
First we will review integration using the study notes I provided to Joshua. We will then go over the assigned problems from yesterday. We will do some additional problem examples involving differential equations.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did a review of integration followed by several examples involving solutions of differential equations. We are making excellent progress as we move through these calculus topics.
We are starting a new unit. Slope fields show derivatives of relations in the form of a very general graph (trend). This can help identify a family of functions that have the slope field as their derivatives. Differential equations are solved to find a relation that has the derivative given.
Assignment
55 problems from the text pp373-4
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a great start to this chapter. It required using derivatives from chapters 2 - 4 which served as a review. The concepts require some time to grasp, so we will work through this material slowly.
Today we will complete our study of integration. We will do examples of inverse trigonometric integrals. We will do random problems from the chapter review section in the text. We will also look ahead at the topic of slope fields.
Assignment
5 textbook problems
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We accomplished the completion of integration. We briefly looked at the concept of slope fields. We also enjoyed the Thanksgiving meal provided by the Batt School.
We will review the five assigned problems as needed. We will Do more examples of integrals involving natural logarithms,
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We were able to complete the review of the assignment and do several additional problems. We completed this topic and we will move on to inverse trigonometric function integration.
We will do examples of logarithmic integration problems.
Assignment
5 problems from the textbook.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did example problems to prepare Josh for the assignment. The problems take time to solve and check so we were only able to do six problems in our session.
First we will review the homework assignment. That will be followed by a few more examples including the average value of a function. We will then do integration by substitution and examples of this process.
Assignment
Five problems from the textbook.
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We had a very good session today. Josh has a good understanding of integrals, areas, and the theorems involved.
