Group
Presentation Calculus
& Analytic Geometry II Name :
___________________
Chapter 10  30
points Math
122
There are eight tests for convergence that we are going to study in
sections 10.5 through 10.7. Each student will be assigned one of the tests.
Your assignment is to teach that test to the class. You may teach the test
for convergence alone or you may partner with another student and both team
teach, but you are responsible for the test assigned to you.
For the test assigned to you, do the following.
 Familiarize yourself with the assigned test.
 Read the section in the book dealing with that test. You may need to
read other sections as some tests are related to others.
 Read the summary of convergence tests on page 691.
 Present the material for that test to the class.
 You may use any method, lecture, handout, group discussion, etc that you
wish to use. Some people have made Power Point presentations. There is Power
Point 2000 on the computer hooked to the projection unit.
 Each presentation should take no more than 20 minutes. Ten minutes is
probably sufficient to teach any of these tests and if you're still going
after 20 then you're either confusing the class or boring them.
 You must do at least two examples using that technique. These problems
may be from the homework problems. Be sure to show each possible outcome
from the test. That is, if the test can indicate convergence or divergence,
then be sure you show at least one example that converges and one that
diverges.
 Explain when the best time to use that technique is. Explain when it
doesn't work and if you have time, show an example of why it doesn't
work.
 Be able to answer any questions on the technique.
 Assign three even problems that require the use of the technique.
 These may not be the problems that you worked as examples.
 Try to spread the problems around so that all outcomes are used.
 Collect and grade the problems from the rest of the students. Each
problem is worth 1 point and is either right or wrong. Record the number
correct for each student on a paper to give to the instructor.
 You are allowed to help the other classmates with their homework, but
you are not allowed to give them the answer.
 You decide when the problems are due. Most students make them due two
class periods after the material is covered so that if there are any
questions, the students have a chance to ask.
 Your grade will be based on the following criteria
 You may get up to 21 points for the three problems assigned for each of
the tests that you didn't present.
 To encourage you to do a good job explaining the topic and helping the
other students understand the material, you will be awarded up to nine
points based on how well the other students do with your topic. Take the
number of points earned divided by the total number of points for your topic
and multiply by 9. Example: The other students earned 19 out of 21 on your
topic. You get 19/21 * 9 = 8.14 ≈ 8 points.
 The entire project is worth 30 points.
Name
: _________________________________ Points
: _________
Test
: _________________________________
Test

Person

My score on their test 
Their score on my test 
Divergence Test
(10.5) 



Integral Test
(10.5) 



Comparison Test
(10.6) 



Ratio Test
(10.6) 



Root Test
(10.6) 



Limit Comparison Test
(10.6) 



Alternating Series Test
(10.7) 



Ratio Test for Absolute Convergence (10.7) 



Totals




In the chart above, there will be no scores for the row containing your
test. The "my score on their test" is how many of the three problems they
assigned that you got right. The"their score on my test" is how many of the
three problems you assigned that they got right.
Your score for the take home is the sum of the my score on their test"
column plus 9 times the sum of the "their score on my test" column divided
by the maximum possible score on your test.