We will define the integral test for determining if a series converges or diverges. We will use the test to do problems. We will also discuss the p-series.
Assignment
Five problems from section 8.3, due Friday.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
It was a very good session. We are making excellent progress in our study of calculus.
We reviewed Joshua's AP MCQs for unit 6 and for last night's homework in order to address areas or questions of concern, With respect to the poetry analysis , I emphasized the need to first refer to the specific lines referenced in the question and then to determine if the question seeks an implication or a statement. Regarding implication ,for example, I noted how the reader can infer the speaker's anger from the verb "flung" . We further studied how tone can be determined from a passage written in the late 1890s and how from discerning tone we can also better recognize the author's purpose.
Use an example of a precipitate formation of silver acetate to describe and discuss the results of adding a common ion to the equilibrium solution of silver acetate. Introduce LeChatelier's principle. Define the principle in words and note that the equilibrium is shifted to the left when more product is added at equilibrium
Compare current electricity to water flow, from high potential energy to low potential energy. Define electric potential in volts and the difference as voltage. Determine that to sustain the flow of charge, one end of the conductor must be kept at a higher potential energy than the other. Define electric current. Define current units as amperes, with one ampere being one 1 coulomb/sec. Indicate that a coulomb is 6.2 x 10^18 electrons. Indicate that there are no net changes as current passes through a wire
introduce a solubility constant problem to be solved. Discuss and analyze all steps needed to properly solve for the Ksp. Introduce halide acids, and questions why the acid which should be the strongest is the weakest Bronsted acid. Determine the energy questions needed to be answered to best solve the problem. Discuss the bond dissociation energy and the electron attachment energy which would determine the acid strength. Set up a table and determine why and how the acids would be classified as weak or strong
We will go over the assigned problems on series. We will do several more examples from involving series. We will begin section 8.3 on the integral test.
Assignment
None
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Joshua has a good understanding of convergence and divergence of series. We will pursue this topic further using a variety of tests to determine if a series converges.
Review work and potential energy definitions. Review gravitational potential energy. Discuss that a charged particle can have a potential energy by virtue of its location in an electric field. Discuss how a charged particle placed in an electric field can have potential energy when work is done to move a charge within the field. Define electrical potential energy. Define the volt unit as joules/coulomb. Discuss how a capacitor works to store electrical energy and work with diagrams to best show how it works.