Calculus
Session Date
Lesson Topic
Polar Coordinates
Lesson Outline
We will do exercises from the text related to polar coordinates. We will produce graphs of polar coordinate equations with and also without technology.
Assignment
5 problems from the text
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a very successful session. This topic is very interesting, especially the graphing part of the lesson.
Session Date
Lesson Topic
Polar Coordinates
Lesson Outline
We will change rectangular coordinates to polar, We will change polar coordinates to rectangular. We will graph polar equations.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a good session today, Joshua has a good understanding of polar coordinates and we reviewed a lot of concepts in trigonometry.
Session Date
Lesson Topic
Polar Coordinates
Lesson Outline
We will define polar coordinates and use them to draw graphs.
Assignment
none
Session Minutes
45
Minutes Student Attended
25
Lesson Comments
We started polar coordinates. Joshua left early to travel to visit colleges over spring break.
Session Date
Lesson Topic
Parametric Equations
Lesson Outline
We will go over the assigned problems in section 9.2 of the textbook. We will find derivatives of parametric equations. We will also find second derivatives and determine slopes of tangent lines and concavity.
Assignment
None
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We have completed our study of parametric equations. This also served as a review of differentiation. We briefly began the study of polar coordinates.
Session Date
Lesson Topic
Parametric Equations
Lesson Outline
We will do problems from the text involving parametric equations. We will produce graphs and rewrite equations as functions or relations.
Assignment
5 problems in section 9.2.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a great session. Joshua has a good understanding of this concept.
Session Date
Lesson Topic
Parametric Equations.
Lesson Outline
We will look at a physics example to introduce the concept of parametric equations using time as the parameter. We will do examples of graphing parametric equations.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We got off to a good start in this topic and also incorporated vectors into our examples. We will continue parametric equations tomorrow.
Session Date
Lesson Topic
Conic Sections
Lesson Outline
We will go over the assigned problems on conics. We will do more examples if time allows. We will preview parametric equations.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We will be ready to study parametric equations on Monday. We have only three topics to complete, and then we will begin preparing for the AP test.
Session Date
Lesson Topic
Conic Sections
Lesson Outline
We are studying the conic sections: ellipse, parabola, and hyperbola. We will look at the equations of each and the information that the equation gives us in relation to the graph of each conic section. We will also find the equation if we are given the graph of a conic section.
Assignment
6 problems from section 9.1 of the textbook.
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We completed the lesson and after reviewing the homework in the next session we will be able to begin a study of parametric equations. We are nearing completion of the material covered on the AP Calculus test and will then begin a time of preparing for the test.
Session Date
Lesson Topic
Conic sections
Lesson Outline
We will study circles, ellipses, parabolas, and hyperbolas. We will start with the "locus" definitions. We will also look at the algebraic definitions and the symbolic definitions.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
The definitions were completed and examples were given.
Session Date
Lesson Topic
Infinite Series
Lesson Outline
We will finish our study of infinite series. We will review the conditions needed to apply the tests for convergence and divergence. We will do problems as examples.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We are ready to move on to the last part of the course which will involve the conic sections, parametric equations, polar coordinates and vectors.